From 28929115a917896be946214384e89bc82fe947bc Mon Sep 17 00:00:00 2001 From: Shamminuj Aktar Date: Mon, 3 Aug 2026 14:35:42 -0600 Subject: [PATCH 1/3] Add Trotter state-error baseline --- baseline/README.md | 164 ++ baseline/compute_trotter_state_error.py | 705 +++++++ baseline/plot_state_errors.py | 204 ++ baseline/plot_state_errors_by_molecule.py | 291 +++ baseline/plot_state_errors_vs_T.py | 207 +++ ...e_errors_vsT_Li-Li_hgbs-5_jw_as002-002.png | Bin 0 -> 258731 bytes ...e_errors_vsT_Li-Li_hgbs-5_jw_as002-004.png | Bin 0 -> 301566 bytes ...e_errors_vsT_Li-Li_hgbs-5_jw_as004-004.png | Bin 0 -> 265898 bytes ...e_errors_vsT_Li-Li_hgbs-5_jw_as004-006.png | Bin 0 -> 271417 bytes ...e_errors_vsT_Li-Li_hgbs-5_jw_as004-008.png | Bin 0 -> 274714 bytes ...e_errors_bymol_hgbs-5_jw_T256_ord2_ns1.png | Bin 0 -> 599632 bytes ...e_errors_bymol_hgbs-5_jw_T256_ord2_ns2.png | Bin 0 -> 605807 bytes ...e_errors_bymol_hgbs-5_jw_T256_ord2_ns4.png | Bin 0 -> 606130 bytes 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create mode 100644 baseline/state_errors/sto-6g/jw/state_errors_He-H.csv create mode 100644 baseline/state_errors/sto-6g/jw/state_errors_Li-H.csv create mode 100644 baseline/state_errors/sto-6g/jw/state_errors_Li-Li.csv diff --git a/baseline/README.md b/baseline/README.md new file mode 100644 index 00000000..67fcbcfb --- /dev/null +++ b/baseline/README.md @@ -0,0 +1,164 @@ +# Trotter Error Baseline + +## Purpose + +Reference measurements of Trotterization error for the QHAT molecular Hamiltonian library. + +Results currently cover hgbs-5 for the 9 diatomics; sto-6g and the single atoms will be added soon. + +For each Hamiltonian, **state error** is the distance between Trotterized and exact evolution under that Hamiltonian, starting from the Hartree-Fock (HF) initial state: + +``` +err = || psi_trotter(T) - psi_exact(T) ||_2 +``` + +Both states start from the same HF determinant and evolve under the same generator, so no global phase enters and the number is pure Trotter error. + +``` +compute_trotter_state_error.py #compute the baseline +plot_state_errors.py #order x delta_t grid; one figure per (molecule, T) +plot_state_errors_by_molecule.py #one panel per molecule, grouped by period +plot_state_errors_vs_T.py #x = T; one figure per (molecule, active space) +state_errors///state_errors_.csv #File structure +log_.txt #per-molecule run logs +``` + +## Config + +**Systems.** Nine diatomics and ten single atoms: + +``` +molecules H-H He-H He-He Li-H Li-Li Be-H Be-Be B-H B-B +atoms H He Li Be B C N O F Ne +``` + +**Bond lengths.** Ten points per diatomic, evenly spaced over `L in [0.6, 3.0] * L_eq`, with `L_eq` the sum of the Pyykko covalent radii. The range therefore runs from compressed, through equilibrium, out to dissociated. Atoms have no bond length and carry `L = nan`. + +**Active spaces.** Grown from the smallest allowed up to 12 qubits. + +**Generator.** `H_terms = pi * (H - shift*I) / normalization`, identity excluded, with `shift` the identity coefficient and `normalization = 2 * max(1, one_norm - |shift|)`. + +**Initial state.** Lowest `n_occ` spin orbitals occupied, from the header key `number of active, occupied, single-occupancy orbitals`. JW stores that occupation directly; BK stores `(encoder_bk @ occ) mod 2`, as in `hamgen.get_initial_state`. + +**Term ordering.** Ascending signed coefficient, ties broken by ascending lexicographic Pauli string, so the sequence is deterministic across runs and machines. + +**Reference.** `scipy.sparse.linalg.expm_multiply` on the same generator. + +**Grid.** `n_steps` is per U, where `U = exp(-i H_terms)` is one unit of evolution, so `delta_t = 1/n_steps` and `total_steps = T*n_steps`. `T` is swept and identical for every Hamiltonian, not a per-molecule lookup. Cells are total Trotter steps: + +| T | Δt = 1 | Δt = 1/2 | Δt = 1/4 | +|---|---|---|---| +| 2⁶ = 64 | 64 | 128 | 256 | +| 2⁸ = 256 | 256 | 512 | 1024 | +| 2⁹ = 512 | 512 | 1024 | 2048 | + +Orders 1, 2, 4 → **27 rows per (Hamiltonian, mapping)**. Both bases (hgbs-5, sto-6g) and both mappings (JW, BK) run by default. + +Every CSV carries a `#` provenance header recording the conditions that produced its rows. Read the files with `pandas.read_csv(path, comment='#')`. + +## How to run + +### 1. Generate the Hamiltonians + +Omitting the positional argument covers all 19 systems — the 9 diatomics plus atoms H through Ne: + +```bash +python hamiltonian_generator/build_config_L_sweep.py \ + --L-steps 10 \ + --max-active 12 \ + --library library \ + --hamgen-dir hamiltonian_generator \ + --run +``` + +Equivalent explicit form, to restrict to a subset: + +```bash +python hamiltonian_generator/build_config_L_sweep.py \ + H-H,He-H,He-He,Li-H,Li-Li,Be-H,Be-Be,B-H,B-B,H,He,Li,Be,B,C,N,O,F,Ne \ + --L-steps 10 --max-active 12 --library library \ + --hamgen-dir hamiltonian_generator --run +``` + +Diatomics land in `library////`, atoms in `library/atoms///`. + +### 2. Compute the baseline +Run from the baseline directory. +```bash +# everything +python compute_trotter_state_error.py ../library/ --out-dir state_errors --n-L 10 + +# one species (atoms too: --molecule Ne) +python compute_trotter_state_error.py ../library/ --molecule Li-Li --out-dir state_errors + +# the 9 diatomics in parallel; species write disjoint files, so one tree is safe +for m in H-H He-H He-He Li-H Li-Li Be-H Be-Be B-H B-B; do + python compute_trotter_state_error.py ../library/ --molecule "$m" \ + --out-dir state_errors --n-L 10 > "log_$m.txt" 2>&1 & +done +wait + +# the 10 atoms, same way. Point at library/atoms so the scan is quicker, and +# drop --n-L: atoms have no bond length, so there is nothing to subsample. +for a in H He Li Be B C N O F Ne; do + python compute_trotter_state_error.py ../library/atoms --molecule "$a" \ + --out-dir state_errors > "log_$a.txt" 2>&1 & +done +wait +``` + +Resumable: existing rows are skipped, each row is flushed as computed, so an interrupted run loses nothing. + +Groups are processed in sorted order — `hgbs-5/bk`, `hgbs-5/jw`, `sto-6g/bk`, `sto-6g/jw` — so missing directories mid-run are expected. He-He has no sto-6g Hamiltonians (no vacant orbitals in a minimal basis) and finishes with two CSVs. + +### 3. Plot + +Generates three different types of plots using the saved state error data. These are the commands that produced the committed `plots/` folder: + +```bash +# active space on x, at fixed T; one figure per (molecule, T) +python plot_state_errors.py state_errors/hgbs-5/jw \ + --out-dir plots/active_space_vs_state_error_fixed_T_hgbs_jw +python plot_state_errors.py state_errors/hgbs-5/bk \ + --out-dir plots/active_space_vs_state_error_fixed_T_hgbs_bk + +# one panel per molecule, grouped by period; colour = L / L_eq +python plot_state_errors_by_molecule.py state_errors/hgbs-5/jw \ + --order 1,2,4 --n-steps 1,2,4 \ + --out-dir plots/active_space_vs_state_error_all_molecule_hgbs_jw +python plot_state_errors_by_molecule.py state_errors/hgbs-5/bk \ + --order 1,2,4 --n-steps 1,2,4 \ + --out-dir plots/active_space_vs_state_error_all_molecule_hgbs_bk + +# T on x, at fixed active space; one figure per (molecule, active space) +python plot_state_errors_vs_T.py state_errors/hgbs-5/jw \ + --out-dir plots/T_vs_state_error_fixed_as_hgbs_jw +python plot_state_errors_vs_T.py state_errors/hgbs-5/bk \ + --out-dir plots/T_vs_state_error_fixed_as_hgbs_bk +``` + + +Narrower slices, and a single molecule: + +```bash +python plot_state_errors.py state_errors/hgbs-5/jw/state_errors_Li-Li.csv --T 512 +python plot_state_errors_vs_T.py state_errors/hgbs-5/jw --qubits 12 --out-dir figs +``` + +Common flags: `--T`, `--orders`, `--n-steps`, `--out-dir`, `--cmap`. + +## Evaluating a new technique + +To measure a new Trotter or time-evolution technique against this baseline, modify `compute_trotter_state_error.py` to use the new technique and write a CSV in the same format, then modify a plot script to show both series. + +**Keep everything else fixed.** The comparison only means something if the generator, normalization, initial state, reference and grid are unchanged — a lower `err` under a different `delta_t` or a different reference is not an improvement, it is a different measurement. The provenance header at the top of each CSV records those conditions; the new run's header should match the baseline's except for the technique itself. + +**Keep the CSV schema.** Same columns in the same order, so the two files can be concatenated and grouped. The plot scripts key on `molecule`, `L`, `basis`, `active`, `mapping`, `n_qubits`, `T`, `n_steps`, `order` and `err`. + + **Plot both.** Add a `source` column ("baseline" / "new") to each frame, concatenate them, and draw one line style per source in whichever plot script suits the comparison — `plot_state_errors.py` and `plot_state_errors_vs_T.py` for a single molecule across active spaces, `plot_state_errors_by_molecule.py` for coverage across the library. + + ## Future work + +- Extend to larger active spaces, beyond the current 12-qubit cap. +- Add an energy error baseline: error in the eigenphase QPE recovers, not in the state vector. +- Add a Hamiltonian error baseline: operator distance between the Trotterized and exact unitaries, with commutator bounds. \ No newline at end of file diff --git a/baseline/compute_trotter_state_error.py b/baseline/compute_trotter_state_error.py new file mode 100644 index 00000000..cdb06495 --- /dev/null +++ b/baseline/compute_trotter_state_error.py @@ -0,0 +1,705 @@ +#!/usr/bin/env python3 +""" +compute_trotter_state_error.py +------------------------------ +Trotter state vector error for the library Hamiltonians: + + err = || psi_trotter(T) - psi_exact(T) || + +Both states start from the HF determinant and are evolved by the SAME operator +(normalized, pi-scaled, identity excluded), matching the Julia state-error path +in trotter_expts.jl Part 2. No 0.5*I centering and no global phase: those belong +to the energy/operator-error path. + +n_steps is PER U, where U = exp(-i H_terms) is one unit of evolution, so +delta_t = 1/n_steps and total_steps = T/delta_t = T*n_steps. delta_t is +therefore identical across active spaces. + +T is swept, identical for every Hamiltonian -- an independent axis of the study, +not a per-molecule lookup. Total Trotter steps per row: + + T \ delta_t 1 1/2 1/4 (n_steps/U = 1, 2, 4) + 2^6 = 64 64 128 256 + 2^8 = 256 256 512 1024 + 2^9 = 512 512 1024 2048 + +27 rows per Hamiltonian (3 T x 3 delta_t x 3 orders). Results are written per +molecule to --out-dir and flushed row by row; rows already in the CSV are +skipped, so an interrupted run loses nothing. + +Usage: + python compute_trotter_state_error.py library/ --out-dir state_errors + python compute_trotter_state_error.py library/ --molecule Li-Li \ + --T 64,256,512 --n-steps 1,2,4 --order 1,2,4 --n-L 10 +""" + +import argparse +import csv +import re +import sys +import time +from pathlib import Path + +import numpy as np +from scipy.sparse import coo_matrix, kron as spkron +from scipy.sparse.linalg import expm_multiply + +# --------------------------------------------------------------------------- +# Pauli matrices +# --------------------------------------------------------------------------- +_I = coo_matrix(np.array([[1,0],[0,1]], dtype=complex)) +_X = coo_matrix(np.array([[0,1],[1,0]], dtype=complex)) +_Y = coo_matrix(np.array([[0,-1j],[1j,0]], dtype=complex)) +_Z = coo_matrix(np.array([[1,0],[0,-1]], dtype=complex)) +_PAULI = {"I":_I, "X":_X, "Y":_Y, "Z":_Z} + + +def pauli_string_matrix(ps): + mat = _PAULI[ps[0]] + for c in ps[1:]: + mat = spkron(mat, _PAULI[c], format="csr") + return mat + + +# --------------------------------------------------------------------------- +# Parse .dat +# --------------------------------------------------------------------------- + +def parse_dat(path): + metadata, terms = {}, [] + with open(path) as f: + for line in f: + line = line.rstrip() + if not line: + continue + if line.startswith("#"): + body = line[1:].strip() + if "=" in body: + k, _, v = body.partition("=") + metadata[k.strip()] = v.strip() + else: + parts = line.split() + if len(parts) == 2: + # coefficients may be real ("0.15") or complex + # ("9.8e-03+0.0e+00j", as in some generated files); complex() + # parses both, and the Hamiltonian is Hermitian so imag~0. + z = complex(parts[0]) + if abs(z.imag) > 1e-9: + raise ValueError( + f"{path}: nonzero imaginary coefficient {parts[0]!r}") + terms.append((z.real, parts[1].upper())) + return metadata, terms + + +# --------------------------------------------------------------------------- +# Normalization (Julia-matching: hamiltonian_utils.jl normalize_hamiltonian) +# --------------------------------------------------------------------------- + +def normalize_hamiltonian(terms, metadata): + """ + shift = identity coefficient + norm_bound = one_norm - |shift| (one_norm from metadata) + normalization = 2 * max(1, norm_bound) + Julia uses metadata key 'one-norm of sum of Pauli strings'. + """ + n = len(terms[0][1]) + id_str = "I" * n + key = next((k for k in ("one-norm of sum of Pauli strings", + "one-norm of sum of Pauli strings (Hartrees)") + if k in metadata), None) + if key is None: + raise ValueError( + "metadata lacks 'one-norm of sum of Pauli strings' - refusing to " + "guess the normalization") + one_norm = float(metadata[key]) + shift = next((c for c, ps in terms if ps == id_str), 0.0) + norm_bound = one_norm - abs(shift) + normalization = 2.0 * max(1.0, norm_bound) + return shift, normalization, one_norm + + +# --------------------------------------------------------------------------- +# HF state (matches hamgen.get_initial_state) +# --------------------------------------------------------------------------- + +def _encoder_bk(n_modes): + """ + Binary-tree encoder for the Bravyi-Kitaev transform. Vendored verbatim from + openfermion.transforms.opconversions.binary_codes, which is the same + function hamgen.py imports, so this script stays numpy/scipy-only. + """ + reps = int(np.ceil(np.log2(n_modes))) + mtx = np.array([[1, 0], [1, 1]]) + for repetition in np.arange(1, reps + 1): + mtx = np.kron(np.eye(2, dtype=int), mtx) + for column in np.arange(0, 2 ** repetition): + mtx[2 ** (repetition + 1) - 1, column] = 1 + return mtx[0:n_modes, 0:n_modes] + + +def hf_state(metadata, terms, mapping="jw"): + """ + HF determinant as a computational basis state, following + hamgen.get_initial_state: the lowest n_occ spin orbitals are occupied, JW + stores that occupation directly, BK stores (encoder_bk @ occ) mod 2. The + occupation vector is packed MSB-first, matching the kron order in + pauli_string_matrix, so qubit 0 is Pauli-string position 0. + + n_occ comes from metadata, same key as Julia trotter_expts.jl line 44. + """ + n = len(terms[0][1]) + key = "number of active, occupied, single-occupancy orbitals" + if key not in metadata: + raise KeyError( + f"HF state requires metadata key '{key}' (matches Julia). " + f"Refusing to guess n_occ.") + n_occ = int(metadata[key]) + + occ = np.zeros(n, dtype=int) + occ[0:n_occ] = 1 + + m = mapping.lower() + if m in ("jw", "jordan-wigner"): + occ_qubit = occ + elif m in ("bk", "bravyi-kitaev"): + occ_qubit = (_encoder_bk(n) @ occ) % 2 + else: + raise ValueError(f"unknown fermion-to-qubit mapping {mapping!r}") + + idx = sum(int(occ_qubit[i]) << (n - 1 - i) for i in range(n)) + psi = np.zeros(2 ** n, dtype=complex) + psi[idx] = 1.0 + return psi + + +# --------------------------------------------------------------------------- +# Term ordering +# +# Trotter error depends strongly on term order, so it is isolated in one +# swappable function. An ordering takes and returns a list of +# (coeff, pauli_string) pairs, already normalized, pi-scaled and identity-free: +# +# mats = make_qpe_mats(terms, normalization, ordering=my_ordering) +# --------------------------------------------------------------------------- + +def order_ascending_lex(terms): + """ + Ascending signed coefficient, ties broken by ascending lexicographic Pauli + string. The direction matches Julia's sort!(H_terms, by = x -> x[1]); the + tie-break is an addition, since Julia's bare sort leaves equal coefficients + (common among symmetry-related terms) in an unspecified order. + """ + return sorted(terms, key=lambda t: (t[0], t[1])) + + +# --------------------------------------------------------------------------- +# QPE Trotter terms (Julia-matching build_hamiltonian_terms: +# coeff = (c/normalization)*pi, identity dropped, then ordered) +# --------------------------------------------------------------------------- + +def make_qpe_mats(terms, normalization, ordering=order_ascending_lex): + """Drop the identity, rescale to pi*(c/normalization), order, build matrices.""" + n = len(terms[0][1]) + id_str = "I" * n + scaled = [((c / normalization) * np.pi, ps) + for c, ps in terms if ps != id_str] + scaled = ordering(scaled) + return [(c, pauli_string_matrix(ps)) for c, ps in scaled] + + +def mats_to_sparse(mats, dim): + """ + Sum (coeff * P) into one sparse Hermitian matrix -- the same operator that + generates the Trotter evolution, so both states share a generator and no + global phase appears. Forming it densely enough is fine at <= 12 qubits. + """ + H = coo_matrix((dim, dim), dtype=complex).tocsr() + for c, P in mats: + H = H + c * P + return H + + +def apply_rotation(P, coeff_dt, psi): + # exp(-i*coeff_dt*P)|psi> = cos(coeff_dt)|psi> - i sin(coeff_dt) P|psi> + # Julia: apply_pauli_rotation!(psi, P, coeff, dt) with theta = coeff*dt. + return np.cos(coeff_dt) * psi - 1j * np.sin(coeff_dt) * (P @ psi) + + +# --------------------------------------------------------------------------- +# Trotter state vector evolution (single vector, not full unitary). +# These mirror Julia statevector_simulators.jl term for term. +# --------------------------------------------------------------------------- + +def trotter1_state(mats, psi0, dt, n_steps): + """Julia first_order_trotter_statevec.""" + psi = psi0.copy() + for _ in range(n_steps): + for c, P in mats: + psi = apply_rotation(P, c * dt, psi) + return psi + + +def _s2_step(mats, psi, dt): + """One Strang step: 1..m-1 at dt/2, m at dt, m-1..1 at dt/2.""" + for c, P in mats[:-1]: + psi = apply_rotation(P, c * dt / 2, psi) + c_l, P_l = mats[-1] + psi = apply_rotation(P_l, c_l * dt, psi) + for c, P in reversed(mats[:-1]): + psi = apply_rotation(P, c * dt / 2, psi) + return psi + + +def trotter2_state(mats, psi0, dt, n_steps): + """Julia second_order_trotter_statevec.""" + psi = psi0.copy() + for _ in range(n_steps): + psi = _s2_step(mats, psi, dt) + return psi + + +def trotter4_state(mats, psi0, dt, n_steps): + """Julia fourth_order_trotter_statevec: S2(p dt)^2 S2((1-4p)dt) S2(p dt)^2.""" + p = 1.0 / (4.0 - 4.0**(1.0/3.0)) + psi = psi0.copy() + for _ in range(n_steps): + psi = _s2_step(mats, psi, p*dt) + psi = _s2_step(mats, psi, p*dt) + psi = _s2_step(mats, psi, (1-4*p)*dt) + psi = _s2_step(mats, psi, p*dt) + psi = _s2_step(mats, psi, p*dt) + return psi + + +# --------------------------------------------------------------------------- +# Find .dat files +# --------------------------------------------------------------------------- + +_PAT = re.compile(r"^(?P.+)_as-(?P\d{3})-(?P\d{3})_(?P[a-zA-Z]+)\.dat$") +_L_PAT = re.compile(r"_(?P\d+\.\d+)_") +_MOL_PAT = re.compile(r"^(?P[A-Za-z]+(?:-[A-Za-z]+)?)_") + +LIBRARY_MOLECULES = { + "H-H","He-H","He-He","Li-H","Li-Li", + "Be-H","Be-Be","B-H","B-B", + # monatomic systems, stub '_atom_' -- no bond length + "H","He","Li","Be","B","C","N","O","F","Ne", +} + + +def find_dat_files(root, molecule, basis, mappings, max_qubits, L_min, L_max, active=None): + results = [] + for p in sorted(Path(root).rglob("*.dat")): + m = _PAT.fullmatch(p.name) + if not m: + continue + n_q = int(m.group("occ")) + int(m.group("vac")) + if n_q > max_qubits: + continue + if basis and basis.lower() not in p.name.lower(): + continue + active_str = f"{m.group('occ')}-{m.group('vac')}" + if active and active_str != active: + continue + if mappings and m.group("mapping").lower() not in mappings: + continue + lm = _L_PAT.search(m.group("stub")) + mm = _MOL_PAT.match(m.group("stub")) + mol = mm.group("mol") if mm else "unknown" + if molecule and mol.lower() != molecule.lower(): + continue + if not molecule and mol not in LIBRARY_MOLECULES: + continue + # Monatomic systems have no bond length. nan sorts, formats with + # .4f, survives the L window (nan comparisons are False) and + # round-trips through the CSV as 'nan', so the resume key still + # matches -- none of which None would do. + L_val = float(lm.group("L")) if lm else float("nan") + if L_min is not None and L_val < L_min: + continue + if L_max is not None and L_val > L_max: + continue + results.append({ + "path" : p, + "molecule": mol, + "L" : L_val, + "basis" : m.group("stub").split("_")[-1], + "active" : f"{m.group('occ')}-{m.group('vac')}", + "mapping" : m.group("mapping").lower(), + "n_qubits": n_q, + }) + results.sort(key=lambda x: (x["molecule"], x["basis"], x["active"], x["L"])) + return results + + +def subsample_L(files, n_L): + """ + Keep at most n_L bond lengths per (molecule, basis, mapping, active) family, + evenly + spaced over the sorted L range with both endpoints always kept, so the + near-equilibrium region and the dissociation tail are both represented. + n_L=None -> no subsampling. + """ + if n_L is None: + return files + from collections import defaultdict + groups = defaultdict(list) + for f in files: + groups[(f["molecule"], f["basis"], f["mapping"], f["active"])].append(f) + + kept = [] + for key, g in groups.items(): + g = sorted(g, key=lambda x: x["L"]) + m = len(g) + if m <= n_L: + kept.extend(g) + continue + # evenly spaced indices over [0, m-1], inclusive of both endpoints + idx = sorted(set(int(round(i)) for i in np.linspace(0, m - 1, n_L))) + kept.extend(g[i] for i in idx) + kept.sort(key=lambda x: (x["molecule"], x["basis"], x["active"], x["L"])) + return kept + + +# --------------------------------------------------------------------------- +# CSV fields +# --------------------------------------------------------------------------- + +CSV_FIELDS = [ + "molecule", "L", "basis", "active", "mapping", "n_qubits", + "T", "n_steps", "total_steps", "delta_t", "dt_norm", "order", + "err", # state error ||psi_trotter - psi_exact|| (expm reference) + "seconds", # wall time for this row + "one_norm", "normalization", +] + + +# --------------------------------------------------------------------------- +# Provenance +# --------------------------------------------------------------------------- + +def provenance_lines(args, basis_tag, mapping_tag): + """ + Conditions that produced the rows, written as leading '#' comment lines so + the CSV is self-documenting. A challenger comparing a new Trotter technique + must match all of these; only then is a lower `err` a real improvement. + Load the data with pandas.read_csv(path, comment='#'). + """ + return [ + "BASELINE: Trotter state error for QPE Hamiltonian simulation.", + "", + "metric : err = || psi_trotter - psi_exact ||_2", + "initial state : Hartree-Fock |11..100..0> (top n_occ bits, JW)", + "reference : scipy expm_multiply, exp(-i H T) psi0", + "generator : H_terms = pi * (H - shift*I) / normalization,", + " identity term excluded", + "normalization : 2 * max(1, one_norm - |shift|) [Julia " + "hamiltonian_utils.jl]", + "term ordering : ascending signed coefficient, ties broken by ascending", + " lexicographic Pauli string (deterministic; the", + " ascending direction follows Julia, the tie-break is an", + " addition)", + "delta_t : 1 / n_steps, where n_steps is PER U and", + " U = exp(-i H_terms) is one unit of evolution", + "total_steps : T / delta_t = T * n_steps", + "dt_norm : delta_t * sum|c_j|; equals pi/2, pi/4, pi/8 wherever", + " the shifted one-norm is at least 1, which fixes the", + " dimensionless step size across systems", + "T : swept, identical for every Hamiltonian. NOT derived", + " from any per-molecule circuit-depth table; it is an", + " independent axis of the study.", + f"mapping : {mapping_tag} (HF determinant encoded per mapping:", + " JW stores the occupation directly, BK stores", + " (encoder_bk @ occ) mod 2, as in hamgen.get_initial_state)", + f"basis : {basis_tag}", + f"active space : {args.active if args.active else 'all'}", + f"T swept : {args.T_values}", + f"n_steps swept : {args.n_steps} (delta_t = " + f"{', '.join(str(round(1.0/int(s), 6)) for s in args.n_steps.split(','))})", + f"orders : {args.order}", + f"bond lengths : {args.n_L if args.n_L else 'all'} per active space, " + "evenly spaced over the sorted L range (deterministic)", + "", + "Generated by compute_trotter_state_error.py.", + ] + + +# --------------------------------------------------------------------------- +# Main +# --------------------------------------------------------------------------- + +def run(args): + n_steps_list = [int(s) for s in args.n_steps.split(",")] + T_list = [int(t) for t in args.T_values.split(",")] + mappings = [m.strip().lower() for m in args.mapping.split(",")] + bad_map = sorted(set(mappings) - {"jw", "bk"}) + if bad_map: + print(f"ERROR: unsupported mappings {bad_map}; use jw, bk, or jw,bk.") + sys.exit(1) + orders = [int(o) for o in args.order.split(",")] + invalid = sorted(set(orders) - {1, 2, 4}) + if invalid: + print(f"ERROR: unsupported Trotter orders {invalid}; use 1, 2, or 4.") + sys.exit(1) + out_dir = Path(args.out_dir) + out_dir.mkdir(parents=True, exist_ok=True) + + if any(s <= 0 for s in n_steps_list): + print("ERROR: all n_steps must be positive.") + sys.exit(1) + if any(t <= 0 for t in T_list): + print("ERROR: all T must be positive.") + sys.exit(1) + + molecules = [args.molecule] if args.molecule else sorted(LIBRARY_MOLECULES) + + print(f"T swept : {T_list} (same for every Hamiltonian)") + print(f"n_steps/U : {n_steps_list} -> delta_t = " + f"{[round(1.0/n, 6) for n in n_steps_list]} (same for every " + f"active space)") + print(f"Orders : {orders}") + print(f"Mappings : {mappings}") + print() + print(" total Trotter steps = T / delta_t:") + hdr = " " + "T".rjust(8) + "".join( + f"{'dt=' + str(round(1.0/n, 6)):>16}" for n in n_steps_list) + print(hdr) + for T in T_list: + print(" " + f"{T:>8}" + "".join(f"{T*n:>16,}" for n in n_steps_list)) + print() + print(f"rows/Ham : {len(T_list)*len(n_steps_list)*len(orders)}") + print(f"Max qubits: {args.max_qubits}") + print(f"Molecules : {molecules}") + print(f"Output dir: {out_dir}\n") + + for molecule in molecules: + print(f"\n{'='*60}") + print(f"Molecule: {molecule}") + print(f"{'='*60}") + run_molecule(args, molecule, T_list, n_steps_list, orders, mappings, out_dir) + + print(f"\nAll done. CSVs saved under {out_dir}///") + + +def run_molecule(args, molecule, T_list, n_steps_list, orders, mappings, out_root): + """ + Find every .dat for this molecule, then split by (basis, mapping) and write + one CSV per combination under out_root///. Each CSV holds a + single basis and a single mapping, so its provenance header describes + exactly its own contents. + """ + files = find_dat_files( + args.root, molecule, args.basis, mappings, + args.max_qubits, args.L_min, args.L_max, args.active + ) + if not files: + print(f" No .dat files found for {molecule}.") + return + + n_found = len(files) + files = subsample_L(files, args.n_L) + if args.n_L is not None: + print(f"Found {n_found} files; kept {len(files)} after L subsample " + f"(<= {args.n_L} per basis/mapping/active space)\n") + else: + print(f"Found {len(files)} files\n") + + from collections import defaultdict + groups = defaultdict(list) + for f in files: + groups[(f["basis"], f["mapping"])].append(f) + + for basis, mapping in sorted(groups): + out_csv = out_root / basis / mapping / f"state_errors_{molecule}.csv" + out_csv.parent.mkdir(parents=True, exist_ok=True) + print(f"--- {molecule} basis={basis} mapping={mapping} " + f"({len(groups[(basis, mapping)])} files) -> {out_csv}") + run_group(args, molecule, basis, mapping, groups[(basis, mapping)], + T_list, n_steps_list, orders, out_csv) + + +def run_group(args, molecule, basis_tag, mapping_tag, files, + T_list, n_steps_list, orders, out_csv): + existing = set() + if out_csv.exists(): + with open(out_csv) as f: + # skip the leading '#' provenance lines before the column header + reader = csv.DictReader(line for line in f if not line.startswith("#")) + existing_fields = reader.fieldnames or [] + if set(existing_fields) != set(CSV_FIELDS): + print("WARNING: existing CSV has different columns - starting fresh.") + out_csv.unlink() + else: + for row in reader: + key = (row["molecule"], row["L"], row["basis"], + row["active"], row["mapping"], + row["T"], row["n_steps"], row["order"]) + existing.add(key) + print(f"Resuming - {len(existing)} existing rows found.\n") + + write_header = not out_csv.exists() + out_f = open(out_csv, "a", newline="") + writer = csv.DictWriter(out_f, fieldnames=CSV_FIELDS) + if write_header: + for line in provenance_lines(args, basis_tag, mapping_tag): + out_f.write(f"# {line}\n") + writer.writeheader() + + processed = skipped = 0 + fn_map = {1: trotter1_state, 2: trotter2_state, 4: trotter4_state} + + for info in files: + mol = info["molecule"] + L = info["L"] + basis = info["basis"] + active = info["active"] + mapping = info["mapping"] + n_qubits = info["n_qubits"] + dim = 2 ** n_qubits + + all_done = all( + (mol, str(L), basis, active, mapping, + str(T), str(s), str(o)) in existing + for T in T_list for s in n_steps_list for o in orders + ) + if all_done: + skipped += 1 + continue + + print(f"\n[{processed+skipped+1}/{len(files)}] " + f"{mol} L={L:.4f} {active} {n_qubits}q") + + try: + meta, terms = parse_dat(info["path"]) + shift, normalization, one_norm = normalize_hamiltonian(terms, meta) + + if one_norm <= 0: + print(f" WARNING: one_norm={one_norm} - skipping") + skipped += 1 + continue + + psi0 = hf_state(meta, terms, mapping) + + mats = make_qpe_mats(terms, normalization, + ordering=order_ascending_lex) + print(f" one_norm={one_norm:.4f} norm={normalization:.4f}" + f" n_terms={len(mats)}") + + # Same operator as the Trotter steps: assembled once per + # Hamiltonian, exponentiated once per T below. + H_mats = mats_to_sparse(mats, dim) + l1 = sum(abs(c) for c, _ in mats) + print(f" dt_norm at delta_t=1 is {l1:.6f}" + f"{' (= pi/2)' if abs(l1 - np.pi/2) < 1e-9 else ''}") + + except Exception as e: + print(f" ERROR: {e}") + skipped += 1 + continue + + for T in T_list: + # Skip the reference entirely if every row at this T is already in + # the CSV -- expm_multiply is the expensive part of a resumed run. + if all((mol, str(L), basis, active, mapping, + str(T), str(s), str(o)) in existing + for s in n_steps_list for o in orders): + continue + try: + psi_exact = expm_multiply(-1j * float(T) * H_mats, psi0) + except Exception as e: + print(f" ERROR building reference at T={T}: {e}") + continue + + for order in orders: + fn = fn_map[order] + for n_steps in n_steps_list: + key = (mol, str(L), basis, active, mapping, + str(T), str(n_steps), str(order)) + if key in existing: + continue + try: + delta_t = 1.0 / n_steps + total_steps = T * n_steps # both powers of 2: exact + dt_norm = delta_t * l1 + t0 = time.time() + # NO global phase: both states share the generator. + psi_tr = fn(mats, psi0, delta_t, total_steps) + err = float(np.linalg.norm(psi_tr - psi_exact)) + elapsed = time.time() - t0 + + writer.writerow({ + "molecule" : mol, + "L" : L, + "basis" : basis, + "active" : active, + "mapping" : mapping, + "n_qubits" : n_qubits, + "T" : T, + "n_steps" : n_steps, + "total_steps" : total_steps, + "delta_t" : delta_t, + "dt_norm" : dt_norm, + "order" : order, + "err" : err, + "seconds" : round(elapsed, 3), + "one_norm" : one_norm, + "normalization" : normalization, + }) + out_f.flush() + + print(f" order={order} T={T:<6d} " + f"n_steps/U={n_steps:4d} dt={delta_t:.4g} " + f"total={total_steps:8d} err={err:.3e} " + f"({elapsed:.1f}s)") + + except Exception as e: + print(f" ERROR order={order} n_steps={n_steps}: {e}") + + processed += 1 + + out_f.close() + print(f"\nDone. {processed} processed, {skipped} skipped -> {out_csv.name}") + + +def parse_args(): + ap = argparse.ArgumentParser( + description="Compute Trotter state vector errors over a grid of " + "evolution times T and step sizes delta_t." + ) + ap.add_argument("root", help="Library root e.g. library/") + ap.add_argument("--out-dir", default="state_errors", dest="out_dir") + ap.add_argument("--molecule", default=None, help="Single molecule (default: all 9 library molecules)") + ap.add_argument("--basis", default=None, + help="hgbs-5 or sto-6g (default: all bases)") + ap.add_argument("--active", default=None, + help="filter to one active space, e.g. 004-008 " + "(default: all active spaces)") + ap.add_argument("--mapping", default="jw,bk", + help="Fermion-to-qubit mappings to include: jw, bk, or " + "jw,bk (default: both). Both land in one CSV, " + "distinguished by the mapping column.") + ap.add_argument("--T", default="64,256,512", dest="T_values", + help="Total evolution times to sweep, in applications of " + "U = exp(-i H_terms) (default: 64,256,512, i.e. " + "2^6, 2^8, 2^9). The same values are used for every " + "Hamiltonian; T is an independent axis of the study, " + "not a per-molecule property.") + ap.add_argument("--n-steps", default="1,2,4", dest="n_steps", + help="Trotter steps PER U, where U = exp(-i H_terms) is " + "one unit of evolution (default: 1,2,4, i.e. " + "delta_t = 1, 1/2, 1/4). delta_t = 1/n_steps, so it " + "is identical across active spaces. Total steps for " + "a row is T*n_steps = T/delta_t, which sets the cost.") + ap.add_argument("--order", default="1,2,4") + ap.add_argument("--max-qubits", type=int, default=12, dest="max_qubits") + ap.add_argument("--L-min", type=float, default=None, dest="L_min") + ap.add_argument("--L-max", type=float, default=None, dest="L_max") + ap.add_argument("--n-L", type=int, default=None, dest="n_L", + help="Subsample to at most this many bond lengths per " + "active space, evenly spaced over the L range " + "(endpoints always kept). Default: use all L.") + return ap.parse_args() + + +if __name__ == "__main__": + run(parse_args()) \ No newline at end of file diff --git a/baseline/plot_state_errors.py b/baseline/plot_state_errors.py new file mode 100644 index 00000000..8ceac312 --- /dev/null +++ b/baseline/plot_state_errors.py @@ -0,0 +1,204 @@ +#!/usr/bin/env python3 +""" +plot_state_errors.py +-------------------- +Trotter state error from compute_trotter_state_error.py, one 3x3 grid per +molecule per evolution time T. + +Grid layout, for a single (molecule, basis, mapping, T): + columns = Trotter order (1, 2, 4) + rows = n_steps per U, i.e. delta_t = 1/n_steps + x axis = qubit count, annotated with the active space + y axis = state error, log scale + lines = bond length L (single atoms have none and plot as one "atom" line) + +T is now a swept axis rather than a per-Hamiltonian lookup, so it is constant +across a figure and named in the title instead of on the x axis. Basis and +mapping are read from the data, not the path. + +Takes either one CSV or a // directory, in which case every +state_errors_*.csv in it is plotted, giving n_molecules x n_T figures. + +Usage: + python plot_state_errors.py state_errors/hgbs-5/jw + python plot_state_errors.py state_errors/hgbs-5/jw --T 1024 + python plot_state_errors.py state_errors/hgbs-5/jw/state_errors_Li-Li.csv + python plot_state_errors.py --orders 2,4 --n-steps 1,2 --cmap plasma +""" + +import argparse +from pathlib import Path + +import matplotlib +matplotlib.use("Agg") +import matplotlib.pyplot as plt +import matplotlib.ticker as ticker +import numpy as np +import pandas as pd + + +def L_label(v): + """Bond length as a stable group key; single atoms carry no L.""" + return "atom" if pd.isna(v) else f"L={v:g}" + + +def one_figure(df, molecule, basis, mapping, T, orders, steps, args): + qubits = sorted(int(q) for q in df["n_qubits"].unique()) + keys = sorted(df["Lkey"].unique(), + key=lambda s: (s == "atom", + float(s[2:]) if s != "atom" else 0.0)) + active_of = (df.drop_duplicates("n_qubits") + .set_index("n_qubits")["active"].to_dict()) + + cmap = plt.get_cmap(args.cmap) + colors = {k: cmap(i / max(1, len(keys) - 1)) for i, k in enumerate(keys)} + + nrow, ncol = len(steps), len(orders) + fig, axes = plt.subplots(nrow, ncol, figsize=(4.5 * ncol, 3.6 * nrow), + sharex=True, sharey=True, squeeze=False) + + for r, ns in enumerate(steps): + for c, order in enumerate(orders): + ax = axes[r][c] + sub = df[(df["n_steps"] == ns) & (df["order"] == order)] + + for k in keys: + s = sub[sub["Lkey"] == k].sort_values("n_qubits") + if s.empty: + continue + ax.plot(s["n_qubits"], s["err"], marker="o", ms=4, lw=1.3, + color=colors[k], label=k) + + if args.logx: + ax.set_xscale("log") + ax.set_yscale("log") + ax.grid(True, which="both", alpha=0.25, lw=0.5) + + if r == 0: + ax.set_title(f"order {order}", fontsize=12) + + # n_steps is PER U; the meaningful step size is delta_t = 1/n_steps + # and total_steps = T/delta_t sets the cost. dt_norm = delta_t*sum|c| + # is the DIMENSIONLESS step, and it is only constant across active + # spaces where the shifted one-norm exceeds 1. Below that, + # normalization clamps to 2 and dt_norm tracks lambda instead, so + # the panel's Hamiltonians are not taking the same step in units of + # ||H||. Showing the spread makes that visible rather than implicit. + dt = 1.0 / ns + note = (f"$n_{{steps}}/U$ = {ns}\n$\\Delta t$ = {dt:g}\n" + f"steps = {int(T * ns):,}") + if "dt_norm" in sub.columns and not sub.empty: + lo, hi = sub["dt_norm"].min(), sub["dt_norm"].max() + # note += ("\n$\\Delta t\\,\\Sigma|c|$ = " + # + (f"{lo:.3f}" if hi - lo < 1e-9 + # else f"{lo:.3f}-{hi:.3f}")) + ax.text(0.42, 0.26, note, + transform=ax.transAxes, fontsize=9.5, va="top", ha="left", + bbox=dict(fc="white", ec="0.6", alpha=0.9, + boxstyle="round,pad=0.3")) + + if c == 0: + ax.set_ylabel("state error\n" + r"$\|\psi_{trot}-\psi_{exact}\|$", fontsize=11) + + ax.set_xticks(qubits) + ax.set_xticklabels([str(q) for q in qubits], fontsize=11) + if args.logx: + ax.xaxis.set_minor_locator(ticker.NullLocator()) + ax.xaxis.set_major_formatter(ticker.ScalarFormatter()) + if r == nrow - 1: + ax.set_xlabel("(qubits, active space)") + ax.set_xticklabels( + [f"{q}\n{active_of.get(q, '')}" for q in qubits], + fontsize=10) + + fig.suptitle(f"Trotter state error {molecule} {basis} " + f"{mapping.upper()} T = {T:,}", fontsize=13, y=0.94) + + handles, labels = axes[0][0].get_legend_handles_labels() + if handles: + fig.legend(handles, labels, title="bond length", loc="upper center", + bbox_to_anchor=(0.5, 0.885), ncol=min(len(labels), 10), + fontsize=10, title_fontsize=11, frameon=True) + + top = 1.0 - (0.9 / (2.2 * nrow)) + fig.tight_layout(rect=[0, 0, 1, top]) + return fig + + +def main(): + ap = argparse.ArgumentParser( + description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument("source", help="a // directory, or one CSV") + ap.add_argument("--out-dir", default=None, + help="where to write PNGs (default: alongside each CSV)") + ap.add_argument("--T", default=None, dest="T_values", + help="comma-separated T to plot (default: all present)") + ap.add_argument("--orders", default=None, + help="comma-separated orders (default: all present)") + ap.add_argument("--n-steps", default=None, dest="n_steps", + help="comma-separated n_steps per U (default: all present)") + ap.add_argument("--logx", action="store_true", + help="log-scale the qubit axis. Off by default: 4-12 qubits " + "is under half a decade and no power law in qubit " + "count is expected, so it changes little.") + ap.add_argument("--cmap", default="viridis") + args = ap.parse_args() + + src = Path(args.source) + csvs = sorted(src.glob("state_errors_*.csv")) if src.is_dir() else [src] + if not csvs: + raise SystemExit(f"no state_errors_*.csv in {src}") + + n_fig = 0 + for path in csvs: + df = pd.read_csv(path, comment="#") + if df.empty: + print(f" {path.name}: empty, skipped") + continue + df["Lkey"] = df["L"].map(L_label) + + orders = ([int(o) for o in args.orders.split(",")] if args.orders + else sorted(int(o) for o in df["order"].unique())) + steps = ([int(s) for s in args.n_steps.split(",")] if args.n_steps + else sorted(int(s) for s in df["n_steps"].unique())) + Ts = ([int(t) for t in args.T_values.split(",")] if args.T_values + else sorted(int(t) for t in df["T"].unique())) + + df = df[df["order"].isin(orders) & df["n_steps"].isin(steps)] + if df.empty: + print(f" {path.name}: no rows match the requested orders/n_steps") + continue + + molecule = df["molecule"].iloc[0] + basis = df["basis"].iloc[0] + mapping = df["mapping"].iloc[0] + out_dir = Path(args.out_dir) if args.out_dir else path.parent + out_dir.mkdir(parents=True, exist_ok=True) + + for T in Ts: + d = df[df["T"] == T] + if d.empty: + continue + fig = one_figure(d, molecule, basis, mapping, T, orders, steps, args) + out = out_dir / (f"state_errors_{molecule}_{basis}_{mapping}" + f"_T{T}.png") + fig.savefig(out, dpi=150, bbox_inches="tight") + plt.close(fig) + n_fig += 1 + msg = (f"wrote {out} ({len(d)} rows, {d['Lkey'].nunique()} L, " + f"qubits {sorted(int(q) for q in d['n_qubits'].unique())})") + if "dt_norm" in d.columns: + at1 = d[d["n_steps"] == d["n_steps"].min()]["dt_norm"] + if not at1.empty and at1.max() - at1.min() > 1e-9: + msg += (f"\n NOTE dt_norm spans {at1.min():.3f}-" + f"{at1.max():.3f} at the coarsest step: active " + f"spaces are NOT taking the same dimensionless " + f"step (one-norm clamp)") + print(msg) + + print(f"\n{n_fig} figures written.") + + +if __name__ == "__main__": + main() diff --git a/baseline/plot_state_errors_by_molecule.py b/baseline/plot_state_errors_by_molecule.py new file mode 100644 index 00000000..ccd94966 --- /dev/null +++ b/baseline/plot_state_errors_by_molecule.py @@ -0,0 +1,291 @@ +#!/usr/bin/env python3 +""" +plot_state_errors_by_molecule.py +-------------------------------- +State error across the whole library, one panel per molecule. + +Grid layout, for a single (basis, mapping, T, order, delta_t): + one panel per molecule, 3 columns + x axis = active space (qubit count as the position, active space as label) + y axis = state error, log scale + colour = bond length as a fraction of equilibrium, L / L_eq + +Because L_min = L_min_frac * L_eq, absolute bond lengths are not comparable +between molecules -- Li-Li's 1.60 A and H-H's 0.38 A are the same point in the +sweep. Colour therefore keys on L / L_eq, recovered as +L_min_frac * L / min(L), which is the same scale in every panel. A colourbar +replaces a per-molecule legend for the same reason. + +Panels are grouped by period, taken from the heaviest element in the species, +and each period gets its own rows rather than running into the next. With 3 +columns the nine library diatomics divide exactly: H-H, He-H, He-He across the +first row, then the six Li/Be/B species across two more. --no-period-rows packs +them continuously instead. + +Complements plot_state_errors.py, which fixes the molecule and grids over order +and delta_t. Here order and delta_t are fixed and the grid is molecules, so the +default invocation gives one figure per T -- three figures for three T. + +Single atoms have no bond length; they are dropped with a note, since the +L / L_eq colour axis is meaningless for them. + +Usage: + python plot_state_errors_by_molecule.py state_errors/hgbs-5/jw + python plot_state_errors_by_molecule.py --order 4 --n-steps 4 + python plot_state_errors_by_molecule.py --T 512 --out-dir figs + python plot_state_errors_by_molecule.py --order 1,2,4 --n-steps 1,2,4 + + + python plot_state_errors_by_molecule.py state_errors/hgbs-5/jw --out-dir plots/active_space_vs_state_error_all_molecule_hgbs_jw + python plot_state_errors_by_molecule.py state_errors/hgbs-5/bk --out-dir plots/active_space_vs_state_error_all_molecule_hgbs_bk +""" + +import argparse +from pathlib import Path + +import matplotlib +matplotlib.use("Agg") +import matplotlib.pyplot as plt +import numpy as np +import pandas as pd +from matplotlib.cm import ScalarMappable +from matplotlib.colors import Normalize + +# the sweep order used by build_config_L_sweep.py +DEFAULT_MOLECULES = ["H-H", "He-H", "He-He", "Li-H", "Li-Li", + "Be-H", "Be-Be", "B-H", "B-B"] + +ELEMENT_PERIOD = {"H": 1, "He": 1, + "Li": 2, "Be": 2, "B": 2, "C": 2, "N": 2, "O": 2, + "F": 2, "Ne": 2, + "Na": 3, "Mg": 3, "Al": 3, "Si": 3, "P": 3, "S": 3, + "Cl": 3, "Ar": 3} + + +def species_period(name): + """ + Period of a species, taken as the heaviest constituent: Li-H is period 2 + because the chemistry is set by the Li. Bare symbols (single atoms) work + unchanged. Unknown elements sort last rather than raising. + """ + return max(ELEMENT_PERIOD.get(part, 99) for part in name.split("-")) + + +def period_layout(molecules, ncol): + """ + Arrange panels so each period occupies whole rows, padding with blanks + rather than letting one period run into the next. Returns the padded slot + list (None for a blank) and a list of (period, first_row, last_row) bands. + + For the nine library diatomics this is exact with ncol=3: period 1 is + H-H, He-H, He-He (one row) and period 2 is the six Li/Be/B species (two). + """ + from itertools import groupby + slots, bands = [], [] + for period, grp in groupby(molecules, key=species_period): + grp = list(grp) + first_row = len(slots) // ncol + slots.extend(grp) + while len(slots) % ncol: + slots.append(None) + bands.append((period, first_row, len(slots) // ncol - 1)) + return slots, bands + + +def load(source): + """Concatenate every state_errors_*.csv in a directory, or read one CSV.""" + p = Path(source) + if p.is_dir(): + files = sorted(p.glob("state_errors_*.csv")) + if not files: + raise SystemExit(f"no state_errors_*.csv in {p}") + frames = [] + for f in files: + d = pd.read_csv(f, comment="#") + if not d.empty: + frames.append(d) + if not frames: + raise SystemExit(f"every CSV in {p} was empty") + print(f"read {len(files)} CSVs from {p}") + return pd.concat(frames, ignore_index=True) + return pd.read_csv(p, comment="#") + + +def one_figure(df, molecules, basis, mapping, T, order, ns, args, norm, cmap): + ncol = args.ncol + if args.no_period_rows: + slots, bands = list(molecules), [] + else: + slots, bands = period_layout(molecules, ncol) + nrow = int(np.ceil(len(slots) / ncol)) + fig, axes = plt.subplots(nrow, ncol, figsize=(4.2 * ncol, 3.4 * nrow), + squeeze=False, sharey=args.sharey, + layout="constrained") + + for idx, mol in enumerate(slots): + ax = axes[idx // ncol][idx % ncol] + if mol is None: + ax.axis("off") + continue + d = df[df["molecule"] == mol] + if d.empty: + ax.set_title(f"{mol} (no data)", fontsize=10, color="0.5") + ax.set_xticks([]) + ax.set_yticks([]) + continue + + # active space position on x, ordered by qubit count + spaces = (d.drop_duplicates("active") + .sort_values("n_qubits")[["active", "n_qubits"]] + .values.tolist()) + xpos = {a: i for i, (a, q) in enumerate(spaces)} + + for frac, g in d.groupby("L_frac"): + g = g.copy() + g["x"] = g["active"].map(xpos) + g = g.sort_values("x") + ax.plot(g["x"], g["err"], marker="o", ms=4, lw=1.3, + color=cmap(norm(frac))) + + ax.set_yscale("log") + ax.grid(True, which="both", alpha=0.25, lw=0.5) + ax.set_title(mol, fontsize=11) + ax.set_xticks(range(len(spaces))) + ax.set_xticklabels([f"{a}\n{q}q" for a, q in spaces], fontsize=8) + if idx % ncol == 0: + ax.set_ylabel("state error\n" + r"$\|\psi_{trot}-\psi_{exact}\|$", fontsize=10) + if idx // ncol == nrow - 1: + ax.set_xlabel("active space", fontsize=10) + + for j in range(len(slots), nrow * ncol): + axes[j // ncol][j % ncol].axis("off") + + # one label per period band, on the left margin of its first row + for period, first_row, last_row in bands: + mid = axes[(first_row + last_row) // 2][0] + mid.annotate(f"period {period}", xy=(-0.28, 0.5), + xycoords="axes fraction", rotation=90, + va="center", ha="center", fontsize=12, color="0.35") + + fig.suptitle(f"Trotter state error {basis} {mapping.upper()} " + f"T = {T:,} order {order} " + f"$\\Delta t$ = {1.0/ns:g} ({T*ns:,} steps)", + fontsize=13) + + sm = ScalarMappable(norm=norm, cmap=cmap) + sm.set_array([]) + cbar = fig.colorbar(sm, ax=axes.ravel().tolist(), fraction=0.02, pad=0.02) + cbar.set_label(r"bond length $L / L_{eq}$", fontsize=10) + return fig + + +def main(): + ap = argparse.ArgumentParser( + description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument("source", help="a // directory, or one CSV") + ap.add_argument("--out-dir", default=None, + help="where to write PNGs (default: alongside the source)") + ap.add_argument("--T", default=None, dest="T_values", + help="comma-separated T (default: all present)") + ap.add_argument("--order", default="2", + help="Trotter order; one figure per value (default: 2)") + ap.add_argument("--n-steps", default="1", dest="n_steps", + help="n_steps per U, i.e. delta_t = 1/n_steps; one figure " + "per value (default: 1, so delta_t = 1)") + ap.add_argument("--molecules", default=None, + help="comma-separated panel order " + "(default: the 9 library diatomics)") + ap.add_argument("--ncol", type=int, default=3) + ap.add_argument("--no-period-rows", action="store_true", + dest="no_period_rows", + help="pack panels continuously instead of giving each " + "period its own rows. Grouping by period is on by " + "default; with 3 columns the nine library diatomics " + "split exactly, 3 in period 1 and 6 in period 2") + ap.add_argument("--sharey", action="store_true", + help="share the y axis across panels, so error magnitudes " + "are directly comparable between molecules") + ap.add_argument("--L-min-frac", type=float, default=0.6, dest="L_min_frac", + help="the --L-min-frac used when the library was built; " + "sets the L/L_eq scale (default: 0.6)") + ap.add_argument("--cmap", default="viridis") + args = ap.parse_args() + + df = load(args.source) + + atoms = df[df["L"].isna()] + df = df[df["L"].notna()] + if df.empty: + raise SystemExit("no rows with a bond length; nothing to plot") + + # L / L_eq, comparable across molecules. L_min = L_min_frac * L_eq, so + # L / L_eq = L_min_frac * L / L_min, taken per molecule. Rounded to 3 dp + # because the .dat filenames carry L to 2 dp, and that rounding differs per + # molecule -- at 4 dp the same sweep position would split into separate + # groups. Sweep positions are 0.267 apart, so 3 dp resolves them cleanly. + df = df.copy() + df["L_frac"] = df.groupby("molecule")["L"].transform( + lambda s: args.L_min_frac * s / s.min()).round(3) + + if args.molecules: + molecules = [m.strip() for m in args.molecules.split(",")] + else: + present = set(df["molecule"].unique()) + molecules = [m for m in DEFAULT_MOLECULES if m in present] + molecules += sorted(present - set(DEFAULT_MOLECULES)) + if not args.no_period_rows: + # stable sort: period first, existing order preserved within a period + molecules.sort(key=species_period) + if not molecules: + raise SystemExit("no molecules to plot") + + Ts = ([int(t) for t in args.T_values.split(",")] if args.T_values + else sorted(int(t) for t in df["T"].unique())) + orders = [int(o) for o in args.order.split(",")] + steps = [int(s) for s in args.n_steps.split(",")] + + bases = sorted(df["basis"].unique()) + maps = sorted(df["mapping"].unique()) + if len(bases) > 1 or len(maps) > 1: + print(f"WARNING: mixed basis {bases} / mapping {maps}; point this at a " + f"single // directory") + basis, mapping = "+".join(bases), "+".join(maps) + + src = Path(args.source) + out_dir = Path(args.out_dir) if args.out_dir else ( + src if src.is_dir() else src.parent) + out_dir.mkdir(parents=True, exist_ok=True) + + norm = Normalize(vmin=df["L_frac"].min(), vmax=df["L_frac"].max()) + cmap = plt.get_cmap(args.cmap) + + n = 0 + for T in Ts: + for order in orders: + for ns in steps: + d = df[(df["T"] == T) & (df["order"] == order) + & (df["n_steps"] == ns)] + if d.empty: + print(f" no rows for T={T} order={order} n_steps={ns}") + continue + fig = one_figure(d, molecules, basis, mapping, T, order, ns, + args, norm, cmap) + out = out_dir / (f"state_errors_bymol_{basis}_{mapping}" + f"_T{T}_ord{order}_ns{ns}.png") + fig.savefig(out, dpi=150, bbox_inches="tight") + plt.close(fig) + n += 1 + print(f"wrote {out} ({len(d)} rows, " + f"{d['molecule'].nunique()} molecules, " + f"{d['L_frac'].nunique()} bond lengths)") + + print(f"\n{n} figures written.") + if not atoms.empty: + print(f"({len(atoms)} single-atom rows dropped: no bond length, so the " + f"L/L_eq colour axis does not apply. Use plot_state_errors.py " + f"for those.)") + + +if __name__ == "__main__": + main() \ No newline at end of file diff --git a/baseline/plot_state_errors_vs_T.py b/baseline/plot_state_errors_vs_T.py new file mode 100644 index 00000000..1f2bbfbf --- /dev/null +++ b/baseline/plot_state_errors_vs_T.py @@ -0,0 +1,207 @@ +#!/usr/bin/env python3 +r""" +plot_state_errors_vs_T.py +------------------------- +Trotter state error against evolution time, one 3x3 grid per molecule per +active space. + +Grid layout, for a single (molecule, basis, mapping, active space): + columns = Trotter order (1, 2, 4) + rows = n_steps per U, i.e. delta_t = 1/n_steps + x axis = evolution time T, log scale + y axis = state error, log scale + lines = bond length L (single atoms have none and plot as one "atom" line) + +Companion to plot_state_errors.py, which fixes T and puts qubit count on x. +Here the active space is fixed and T is on x, so the figure answers how error +accumulates with evolution time rather than how it varies across active spaces. + +Note that error is NOT expected to be monotonic in T at fixed delta_t: Trotter +error accumulates as a coherent sum of rotations that can partially cancel at +particular evolution times. A dip at one T is a real feature of the dynamics, +not a bad data point. + +Takes either one CSV or a // directory, in which case every +state_errors_*.csv in it is plotted, giving n_molecules x n_active_spaces +figures. + +Usage: + python plot_state_errors_vs_T.py state_errors/hgbs-5/jw + python plot_state_errors_vs_T.py state_errors/hgbs-5/jw --qubits 12 + python plot_state_errors_vs_T.py state_errors/hgbs-5/jw/state_errors_Li-Li.csv + python plot_state_errors_vs_T.py --orders 2,4 --n-steps 1,2 --out-dir figs +""" + +import argparse +from pathlib import Path + +import matplotlib +matplotlib.use("Agg") +import matplotlib.pyplot as plt +import matplotlib.ticker as ticker +import numpy as np +import pandas as pd + + +def L_label(v): + """Bond length as a stable group key; single atoms carry no L.""" + return "atom" if pd.isna(v) else f"L={v:g}" + + +def one_figure(df, molecule, basis, mapping, active, n_qubits, orders, steps, + args): + Ts = sorted(int(t) for t in df["T"].unique()) + keys = sorted(df["Lkey"].unique(), + key=lambda s: (s == "atom", + float(s[2:]) if s != "atom" else 0.0)) + + cmap = plt.get_cmap(args.cmap) + colors = {k: cmap(i / max(1, len(keys) - 1)) for i, k in enumerate(keys)} + + nrow, ncol = len(steps), len(orders) + fig, axes = plt.subplots(nrow, ncol, figsize=(4.5 * ncol, 3.6 * nrow), + sharex=True, sharey=True, squeeze=False) + + for r, ns in enumerate(steps): + for c, order in enumerate(orders): + ax = axes[r][c] + sub = df[(df["n_steps"] == ns) & (df["order"] == order)] + + for k in keys: + s = sub[sub["Lkey"] == k].sort_values("T") + if s.empty: + continue + ax.plot(s["T"], s["err"], marker="o", ms=4, lw=1.3, + color=colors[k], label=k) + + if not args.linx: + ax.set_xscale("log", base=2) + ax.set_yscale("log") + ax.grid(True, which="both", alpha=0.25, lw=0.5) + + if r == 0: + ax.set_title(f"order {order}", fontsize=12) + + # n_steps is PER U; delta_t = 1/n_steps is the step size and + # total_steps = T/delta_t is what sets the cost. total_steps + # therefore varies along x within a panel, so it is given as a + # range rather than a single number. + dt = 1.0 / ns + note = (f"$n_{{steps}}/U$ = {ns}\n$\\Delta t$ = {dt:g}") + ax.text(0.42, 0.26, note, + transform=ax.transAxes, fontsize=9.5, va="top", ha="left", + bbox=dict(fc="white", ec="0.6", alpha=0.9, + boxstyle="round,pad=0.3")) + + if c == 0: + ax.set_ylabel("state error\n" + r"$\|\psi_{trot}-\psi_{exact}\|$", fontsize=11) + + ax.set_xticks(Ts) + ax.set_xticklabels([f"{t:,}" for t in Ts], fontsize=11) + if not args.linx: + ax.xaxis.set_minor_locator(ticker.NullLocator()) + ax.xaxis.set_major_formatter(ticker.ScalarFormatter()) + if r == nrow - 1: + ax.set_xlabel("evolution time $T$ (applications of $U$)") + + fig.suptitle(f"Trotter state error vs evolution time {molecule} " + f"{basis} {mapping.upper()} {active} ({n_qubits}q)", + fontsize=13, y=0.94) + + handles, labels = axes[0][0].get_legend_handles_labels() + if handles: + fig.legend(handles, labels, title="bond length", loc="upper center", + bbox_to_anchor=(0.5, 0.885), ncol=min(len(labels), 10), + fontsize=10, title_fontsize=11, frameon=True) + + top = 1.0 - (0.9 / (2.2 * nrow)) + fig.tight_layout(rect=[0, 0, 1, top]) + return fig + + +def main(): + ap = argparse.ArgumentParser( + description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) + ap.add_argument("source", help="a // directory, or one CSV") + ap.add_argument("--out-dir", default=None, + help="where to write PNGs (default: alongside each CSV)") + ap.add_argument("--qubits", default=None, + help="comma-separated qubit counts (default: all present, " + "one figure each)") + ap.add_argument("--active", default=None, + help="comma-separated active spaces, e.g. 004-008 " + "(default: all present)") + ap.add_argument("--T", default=None, dest="T_values", + help="comma-separated T (default: all present)") + ap.add_argument("--orders", default=None, + help="comma-separated orders (default: all present)") + ap.add_argument("--n-steps", default=None, dest="n_steps", + help="comma-separated n_steps per U (default: all present)") + ap.add_argument("--linx", action="store_true", + help="linear T axis. Default is log base 2, since T is " + "swept in powers of two.") + ap.add_argument("--cmap", default="viridis") + args = ap.parse_args() + + src = Path(args.source) + csvs = sorted(src.glob("state_errors_*.csv")) if src.is_dir() else [src] + if not csvs: + raise SystemExit(f"no state_errors_*.csv in {src}") + + n_fig = 0 + for path in csvs: + df = pd.read_csv(path, comment="#") + if df.empty: + print(f" {path.name}: empty, skipped") + continue + df["Lkey"] = df["L"].map(L_label) + + orders = ([int(o) for o in args.orders.split(",")] if args.orders + else sorted(int(o) for o in df["order"].unique())) + steps = ([int(s) for s in args.n_steps.split(",")] if args.n_steps + else sorted(int(s) for s in df["n_steps"].unique())) + + df = df[df["order"].isin(orders) & df["n_steps"].isin(steps)] + if args.T_values: + df = df[df["T"].isin([int(t) for t in args.T_values.split(",")])] + if args.qubits: + df = df[df["n_qubits"].isin( + [int(q) for q in args.qubits.split(",")])] + if args.active: + df = df[df["active"].isin( + [a.strip() for a in args.active.split(",")])] + if df.empty: + print(f" {path.name}: no rows match the requested filters") + continue + + molecule = df["molecule"].iloc[0] + basis = df["basis"].iloc[0] + mapping = df["mapping"].iloc[0] + out_dir = Path(args.out_dir) if args.out_dir else path.parent + out_dir.mkdir(parents=True, exist_ok=True) + + spaces = (df.drop_duplicates("active") + .sort_values("n_qubits")[["active", "n_qubits"]] + .values.tolist()) + for active, n_qubits in spaces: + d = df[df["active"] == active] + n_T = d["T"].nunique() + if n_T < 2: + print(f" {molecule} {active}: only {n_T} T value, skipped") + continue + fig = one_figure(d, molecule, basis, mapping, active, + int(n_qubits), orders, steps, args) + out = out_dir / (f"state_errors_vsT_{molecule}_{basis}_{mapping}" + f"_as{active}.png") + fig.savefig(out, dpi=150, bbox_inches="tight") + plt.close(fig) + n_fig += 1 + print(f"wrote {out} ({len(d)} rows, {d['Lkey'].nunique()} L, " + f"T 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