Research data for "Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits"

Includes the code and research results used to generate all figures in the article "Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits".Specifically, the Aaronson-Gottesman algorithm is used to simulate stochastic quantum circuits in one and two dimensions (1D periodic chain, 2D square lattice, and 2D Lieb lattice). The objective is to prepare long-range entangled quantum states (GHZ states) and assess the time needed for their preparation, as well as mitigate potential errors and cut down the prep time, if possible. We also provide a version of the code, where the unitary gates in the quantum circuit do not commute, which leads to the emergence of a measurement-induced entanglement transition.The programs (found in the "codes" folder) are written in C++ and can be used to generate all the results (found in the "results" folder). Compilation and running are described in the README.txt file.

本数据集包含用于生成论文《随机量子电路中对称保护长程纠缠的稳定化》中所有图形的代码和研究成果。具体而言，本数据集采用 Aaronson-Gottesman 算法模拟一维和二维（一维周期链、二维正方形晶格和二维 Lieb 晶格）随机量子电路。目标在于制备长程纠缠量子态（GHZ 态），并评估其制备所需时间，同时尽可能减轻潜在错误并缩短制备时间。此外，我们还提供了一种代码版本，其中量子电路中的幺正门不满足交换性，这导致了测量诱导的纠缠相变。程序（位于“codes”文件夹中）采用 C++ 编写，可用于生成所有结果（位于“results”文件夹中）。编译和运行方法在 README.txt 文件中有所描述。