{"title":"Protection of Einstein-Podolsky-Rosen Steering Under Quantum Channels with Memory","authors":"Min Yu, You-neng Guo","doi":"10.1007/s10773-024-05699-4","DOIUrl":null,"url":null,"abstract":"<div><p>The dynamic properties of the Einstein-Podolsky-Rosen (EPR) steering for a system comprised of two qubits which successively pass through a noisy channel with memory are investigated. We explore the behaviour of the EPR steering under three different channels with memory: amplitude damping channel, dephasing channel and depolarizing channel. Our results reveal that the memory effect of channel can effectively protect the EPR steering from the environmental noises. Especially, if the channel has perfect memory, the initial maximal EPR steering can be maintained all the time, so one can obtain steady and maximal steering which is meaningful for the task of quantum information processing. Besides, we find out that the hierarchy among entanglement, EPR steering and Bell nonlocality can be displayed distinctly under amplitude damping and depolarizing channel with partial memory.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 6","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-024-05699-4","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The dynamic properties of the Einstein-Podolsky-Rosen (EPR) steering for a system comprised of two qubits which successively pass through a noisy channel with memory are investigated. We explore the behaviour of the EPR steering under three different channels with memory: amplitude damping channel, dephasing channel and depolarizing channel. Our results reveal that the memory effect of channel can effectively protect the EPR steering from the environmental noises. Especially, if the channel has perfect memory, the initial maximal EPR steering can be maintained all the time, so one can obtain steady and maximal steering which is meaningful for the task of quantum information processing. Besides, we find out that the hierarchy among entanglement, EPR steering and Bell nonlocality can be displayed distinctly under amplitude damping and depolarizing channel with partial memory.
期刊介绍：
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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