Simulation-assisted learning of open quantum systems

Fuente: arXiv
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Hauptverfasser: Wang, Ke, Li, Xiantao
Format: Preprint
Veröffentlicht: 2023
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author Wang, Ke
Li, Xiantao
author_facet Wang, Ke
Li, Xiantao
contents Models for open quantum systems, which play important roles in electron transport problems and quantum computing, must take into account the interaction of the quantum system with the surrounding environment. Although such models can be derived in some special cases, in most practical situations, the exact models are unknown and have to be calibrated. This paper presents a learning method to infer parameters in Markovian open quantum systems from measurement data. One important ingredient in the method is a direct simulation technique of the quantum master equation, which is designed to preserve the completely-positive property with guaranteed accuracy. The method is particularly helpful in the situation where the time intervals between measurements are large. The approach is validated with error estimates and numerical experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2307_03858
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Simulation-assisted learning of open quantum systems
Wang, Ke
Li, Xiantao
Quantum Physics
Mathematical Physics
Models for open quantum systems, which play important roles in electron transport problems and quantum computing, must take into account the interaction of the quantum system with the surrounding environment. Although such models can be derived in some special cases, in most practical situations, the exact models are unknown and have to be calibrated. This paper presents a learning method to infer parameters in Markovian open quantum systems from measurement data. One important ingredient in the method is a direct simulation technique of the quantum master equation, which is designed to preserve the completely-positive property with guaranteed accuracy. The method is particularly helpful in the situation where the time intervals between measurements are large. The approach is validated with error estimates and numerical experiments.
title Simulation-assisted learning of open quantum systems
topic Quantum Physics
Mathematical Physics
url https://arxiv.org/abs/2307.03858