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Benchmarking Verification Validation Open Quantum Systems Decoherence Quantum Simulation

Local Certification of Many-Body Steady States

arXiv
Authors: Miguel Frías Pérez, Antonio Acín

Year

2026

Paper ID

2747

Status

Preprint

Abstract Read

~2 min

Abstract Words

123

Citations

N/A

Abstract

We present a relaxation-based method to bound expectation values on the steady state of dissipative many-body quantum systems described by master equations of the Lindblad form. Instead of targeting to represent the entire state, we promote the reduced density matrices to our variables and enforce the constraints that are imposed on them by consistency with a global steady state. The resulting constraints have the form of a semidefinite program, which allows us to efficiently bound the values a given expectation value can take in the steady state. Our results show fast convergence of the bounds with the size of the reduced density matrices, giving very competitive predictions for the steady state of several one- and two-dimensional models for an arbitrary number of particles.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We present a relaxation-based method to bound expectation values on the steady state of dissipative many-body quantum systems described by master equations of the Lindblad form.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.06487 [2] arXiv https://arxiv.org/abs/2602.06487 [3] Publisher https://arxiv.org/abs/2602.06487

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