https://github.com/susyustc/stabilizer_gs

Implementations and demonstrations for stabilizer ground states
https://github.com/susyustc/stabilizer_gs

quantum-chemistry quantum-computing

Last synced: 2 months ago
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Implementations and demonstrations for stabilizer ground states

• Host: GitHub
• URL: https://github.com/susyustc/stabilizer_gs
• Owner: SUSYUSTC
• License: apache-2.0
• Created: 2024-03-14T02:20:13.000Z (9 months ago)
• Default Branch: main
• Last Pushed: 2024-07-17T20:42:58.000Z (5 months ago)
• Last Synced: 2024-07-18T00:55:17.319Z (5 months ago)
• Topics: quantum-chemistry, quantum-computing
• Language: C++
• Homepage: https://arxiv.org/abs/2403.08441
• Size: 45.9 KB
• Stars: 4
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Stabilizer-Ground-States

This is the GitHub repo for "Stabilizer ground states: theory, algorithms and applications" by Jiace Sun, Lixue Cheng, and Shi-Xin Zhang. [Paper Link](https://arxiv.org/abs/2403.08441)

## Usage

### python (for demonstration)

Three scripts are given for the exact stabilizer ground state of (1) general finite Hamiltonians, (2) 1D local finite Hamiltonians, (3) 1D local infinite periodic Hamiltonians.

```

cd py

python sparse.py path_to_lib/example/hamiltonian_finite.txt

python klocal_sparse.py path_to_lib/example/hamiltonian_finite.txt

python klocal_periodic.py path_to_lib/example/hamiltonian_periodic.txt

```

### C++ (for performance)

#### Installation

requirement: Eigen3 >= 3.4.0, G++ >= 9, Boost, OpenMP (for parallelism)

```

cd cpp

mkdir build

cd build

cmake ..

make

```

#### Run

```

./klocal_sparse path_to_lib/example/hamiltonian_finite.txt

./sparse path_to_lib/example/hamiltonian_finite.txt

```

### Format of Hamiltonian

```

n k

w1 P1 sites1

w2 P2 sites2

...

```

n = number of qubits for finite Hamiltonians, or period for periodic Hamiltonians

k = locality of Hamiltonian (i.e. each Pauli must be in site m to m + k - 1 for some m)

See details in [example](example)

## Cite us

```

@article{sun2024stabilizer,

  title={Stabilizer ground states: theory, algorithms and applications},

  author={Sun, Jiace and Cheng, Lixue and Zhang, Shi-Xin},

  journal={arXiv preprint arXiv:2403.08441},

  year={2024}

}

```