Qubit thermalization by random pulses: Asymptotic state factorization

Here we consider an analytically tractable model of a two level quantum system subject to random shocks and prove that it decays asymptotically to a trivial state, that is, to a state in which the two levels have equal probability of occupation. In a two qubit system, if the shocks affect each qubit...

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Bibliographic Details
Main Author Gzyl, Henryk
Format Journal Article
LanguageEnglish
Published 28.08.2025
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DOI10.48550/arxiv.2502.20096

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Summary:Here we consider an analytically tractable model of a two level quantum system subject to random shocks and prove that it decays asymptotically to a trivial state, that is, to a state in which the two levels have equal probability of occupation. In a two qubit system, if the shocks affect each qubit independently, the equilibrium density matrix becomes a simple product of the one qubit equilibrium density matrices regardless of the nature of the initial state. This has potential applications to entangles qubits in quantum computers.
DOI:10.48550/arxiv.2502.20096