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Open Quantum Systems Decoherence

Universal Predictors for Mixing Time more than Liouvillian Gap

arXiv
Authors: Yi-Neng Zhou

Year

2026

Paper ID

4019

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

We analyze the mixing time of open quantum systems governed by the Lindblad master equation, showing it is not only determined by the Liouvillian gap, but also the trace norm of the lowest excited state of Liouvillian superoperator. By utilizing these universal predictors of mixing time, we establish general conditions for the fast and rapid mixing respectively. Specifically, we derive rapid mixing conditions for both the strong and weak dissipation regimes, formulated as sparsity constraints on the Hamiltonian and the local Lindblad operators. Our findings provide a general framework for calculating mixing time and offer a guide for designing dissipation to achieve desired mixing speeds, which has significant implications for efficient experimental state preparation.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We analyze the mixing time of open quantum systems governed by the Lindblad master equation, showing it is not only determined by the Liouvillian gap, but also the trace norm...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.06256 [2] arXiv https://arxiv.org/abs/2601.06256 [3] Publisher https://arxiv.org/abs/2601.06256

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