Simulation data and codes for "Stabilizing Non-Abelian Topological Order Against Heralded Noise via Local Lindbladian Dynamics"

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2024-05-01
2025-07-31

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2025-07-31

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Chirame, Sanket
chira012@umn.edu

Abstract

In this project, we show how active measurement and local feedback can be used to stabilize both Abelian and non-Abelian mixed-state topological order in two spatial dimensions. We show that this topological order is robust against the presence of the finite-strength "heralded" noise. We computationally approach this problem by developing a generalized version of the stabilizer tableau formalism that permits efficient simulation of the non-Abelian Lindbladian dynamics. Here we present the detailed numerical procedures used to establish these results.

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The repository includes Python code files and the data plotted in the figures in npz format. The function modules are included in the src directory. The codes for running the main scripts and plotting scripts are included in the results directory. The code is organized into three different models: d4_stabilizers, d4_flags, and toric_code. The data is provided in the compressed zip file. The details of the Python environment are in the "create_pyenv.yaml" file. The details can be found in the README file.

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https://doi.org/10.1103/zf7y-hxtq

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NSF DMR-2313858 (SC and FJB)
Institute for Robust Quantum Simulation (RQS) seed grant (SG)
Sivian Fund and the Paul Dirac Fund at the Institute for Advanced Study (AP)
U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award Number DE-SC0009988 (AP)

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Chirame, Sanket; Prem, Abhinav; Gopalakrishnan, Sarang; Burnell, Fiona J.. (2025). Simulation data and codes for "Stabilizing Non-Abelian Topological Order Against Heralded Noise via Local Lindbladian Dynamics". Retrieved from the Data Repository for the University of Minnesota (DRUM), https://hdl.handle.net/11299/276694.

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