Qubit thermalization by random pulses: Asymptotic state factorization

Fuente: arXiv
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Autore principale: Gzyl, Henryk
Natura: Preprint
Pubblicazione: 2025
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author Gzyl, Henryk
author_facet Gzyl, Henryk
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20096
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Qubit thermalization by random pulses: Asymptotic state factorization
Gzyl, Henryk
Quantum Physics
81P40, 81P20, 81P16, 60J27
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.
title Qubit thermalization by random pulses: Asymptotic state factorization
topic Quantum Physics
81P40, 81P20, 81P16, 60J27
url https://arxiv.org/abs/2502.20096