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Open Quantum Systems Decoherence Quantum Thermodynamics

Self-correction phase transition in the dissipative toric code

arXiv

Authors: Sanjeev Kumar, Hendrik Weimer

Year

2026

Paper ID

12102

Status

Preprint

Abstract Read

~2 min

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Abstract

We analyze a time-continuous version of a cellular automaton decoder for the toric code in the form of a Lindblad master equation. In this setting, a self-correcting quantum memory becomes a thermodynamical phase of the steady state, which manifests itself through the steady state being topologically ordered. We compute the steady state phase diagram, finding a competition between the error correction rate and the update rate for the classical field of the cellular automaton. Strikingly, we find that self-correction of errors is possible even in situations where conventional quantum error correction does not have a finite threshold.

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We analyze a time-continuous version of a cellular automaton decoder for the toric code in the form of a Lindblad master equation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.19288 [2] arXiv https://arxiv.org/abs/2602.19288 [3] Publisher https://arxiv.org/abs/2602.19288

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