Lasse H. Wolff, Paula Belzig, Matthias Christandl, Bergfinnur Durhuus, Marco Tomamichel
{"title":"Fundamental Limit on the Power of Entanglement Assistance in Quantum Communication","authors":"Lasse H. Wolff, Paula Belzig, Matthias Christandl, Bergfinnur Durhuus, Marco Tomamichel","doi":"10.1103/physrevlett.134.020802","DOIUrl":null,"url":null,"abstract":"The optimal rate of reliable communication over a quantum channel can be enhanced by preshared entanglement. Whereas the enhancement may be unbounded in infinite-dimensional settings even when the input power is constrained, a long-standing conjecture asserts that the ratio between the entanglement-assisted and unassisted classical capacities is bounded in finite-dimensional settings [Bennett , ]. In this Letter, we prove this conjecture by showing that their ratio is upper bounded by o</a:mi>(</a:mo>d</a:mi></a:mrow>2</a:mn></a:mrow></a:msup>)</a:mo></a:mrow></a:math>, where <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:mi>d</e:mi></e:math> is the input dimension of the channel. An application to quantum communication with noisy encoders and decoders is given. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20069,"journal":{"name":"Physical review letters","volume":"11 1","pages":""},"PeriodicalIF":9.0000,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevlett.134.020802","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The optimal rate of reliable communication over a quantum channel can be enhanced by preshared entanglement. Whereas the enhancement may be unbounded in infinite-dimensional settings even when the input power is constrained, a long-standing conjecture asserts that the ratio between the entanglement-assisted and unassisted classical capacities is bounded in finite-dimensional settings [Bennett , ]. In this Letter, we prove this conjecture by showing that their ratio is upper bounded by o(d2), where d is the input dimension of the channel. An application to quantum communication with noisy encoders and decoders is given. Published by the American Physical Society2025
期刊介绍：
Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics:
General physics, including statistical and quantum mechanics and quantum information
Gravitation, astrophysics, and cosmology
Elementary particles and fields
Nuclear physics
Atomic, molecular, and optical physics
Nonlinear dynamics, fluid dynamics, and classical optics
Plasma and beam physics
Condensed matter and materials physics
Polymers, soft matter, biological, climate and interdisciplinary physics, including networks
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
