Reproduce arXiv:2207.05612

[refraction-ray]

1. Paper Information

• Title: A density-matrix renormalization group algorithm for simulating quantum circuits
  with a finite fidelity

• Link: https://arxiv.org/abs/2207.05612

• Tags: DMRG, matrix product state, classical simulation

2. Reproduction Goal

Which specific figure or table from the paper needs to be reproduced?

• Target: Fig 2(a)

• Expected Metric/Result: also compare with exact tc.Circuit results for small size systems to ensure the correctness

• Allow to reduce the problem size compared to the paper: Yes, could use reduced qubit counts

3. Directory Structure Plan

To keep the repository organized, please strictly follow this folder structure:

• Proposed Folder Name: examples/reproduce_papers/<YYYY>_<keywords>/
  • Naming Convention: year_keywords
  • Example: examples/reproduce_papers/2023_quantum_transformer/

4. Metadata Definition (meta.yaml)

Please provide the content for the meta.yaml file that will be placed in the folder.

Contributors/AI: Copy and fill this block directly into the meta.yaml file.

title: ""
arxiv_id: ""
url: ""
year: 
authors: 
  - ""
  - ""
tags:
  - ""
  - ""
hardware_requirements:
  gpu: False
  min_memory: ""
description: ""
outputs:
  - target: "Figure 2(a)"
    path: result.png
    script: "main.py"

5. Implementation Requirements

For AI Assistants / Contributors: Please strictly follow the rules below.

• Docstring Standard:

  • The file MUST start with a docstring containing the paper title and the link.
    Format example:

    """
    Reproduction of "Paper Title"
    Link: https://arxiv.org/abs/xxxx.xxxxx
    
    Description:
    This script reproduces Figure 3 from the paper using TensorCircuit-NG.
    """

• Outputs:
  The reproduced data and figures should be in outputs/ subfolder.

• Subfolder structure:

  examples/reproduce_papers/<YYYY>_<Keywords>/
  ├── meta.yaml
  ├── main.py
  ├── ...       # models, data, etc.
  └── outputs/
      ├── result.png    # used for gallery
      └── ...           # other outputs if necessary
  

• Code Quality & Linter:

  • Formatter: The code must be formatted using black.
  • Linter: The code must pass pylint checks (clean code, handle errors).
  • Type Hints: Standard type is NOT REQUIRED.

• Dependencies:

  • Use tensorcircuit as the main framework.
  • Use matplotlib for plotting if necessary.

6. Verification

To be considered complete, please provide:

1. A screenshot of the generated plot or the terminal output matching the paper's result.
2. Confirmation that black and pylint have been run.

# Example verification commands
black examples/reproduce_papers/<paper_subfolder>/*.py
pylint examples/reproduce_papers/<paper_subfolder>/*.py

7. Checklist

• I have checked that this paper hasn't been reproduced in the repo yet.

• The script is self-contained and runnable.

• The docstring includes the correct arXiv/DOI link.

• black formatting applied.

• pylint check passed.