Entanglement-Assisted Capacities of Compound Quantum Channels

Mario Berta; Hrant Gharibyan; Michael Walter

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Entanglement-Assisted Capacities of Compound Quantum Channels

机译：复合量子通道的纠缠辅助能力

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We study universal quantum codes for entanglement-assisted quantum communication over compound quantum channels. In this setting, sender and receiver do not know the specific channel that will be used for communication, but only know the set that the channel is selected from. We investigate different variations of the problem: uninformed users, informed receiver, informed sender, and feedback assistance. We derive single-letter formulas for all corresponding channel capacities. Our proofs are based on one-shot decoupling bounds and properties of smooth entropies.

机译：我们研究用于复合量子通道上纠缠辅助量子通信的通用量子代码。在此设置中，发送者和接收者不知道将用于通信的特定通道，而仅知道从中选择通道的集合。我们调查了该问题的不同变化：不知情的用户，知情的接收者，知情的发送者和反馈帮助。我们为所有相应的信道容量导出单字母公式。我们的证明是基于一键解耦边界和光滑熵的性质。

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来源
《Information Theory, IEEE Transactions on》 |2017年第5期|3306-3321|共16页
作者
Mario Berta; Hrant Gharibyan; Michael Walter;
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作者单位

California Institute of Technology, Institute for Quantum Information and Matter, Pasadena, CA, USA;

Stanford Institute for Theoretical Physics, Stanford University, Stanford, CA, USA;

Stanford Institute for Theoretical Physics, Stanford University, Stanford, CA, USA;

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原文格式 PDF
正文语种 eng
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关键词
Compounds; Quantum entanglement; Receivers; Indexes; Entropy; Encoding; Decoding;

机译：化合物;量子纠缠;接收器;索引;熵;编码;解码;

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机译：量子通道的经典容量和纠缠辅助容量的重合条件
2. Entanglement-assisted capacity regions and protocol designs for quantum multiple-access channels [J] . Shi Haowei, Hsieh Min-Hsiu, Guha Saikat, Npj Quantum Information . 2021,第1期

机译：Quantumlement辅助容量区域和协议设计用于量子多访问通道
3. Near-Capacity Code Design for Entanglement-Assisted Classical Communication over Quantum Depolarizing Channels [J] . Babar Zunaira, Ng Soon Xin, Hanzo Lajos IEEE Transactions on Communications . 2013,第12期

机译：量子去极化通道上纠缠辅助经典通信的近容量代码设计
4. Capacities of classical compound quantum wiretap and classical quantum compound wiretap channels [C] . Cai Minglai, Cai Ning, Deppe Christian 2012 IEEE International Symposium on Information Theory Proceedings . 2012

机译：经典复合量子窃听和经典量子复合窃听通道的容量
5. Simultaneous classical-quantum capacities of quantum multiple access channels. [D] . Yard, Jon Thomas. 2005

机译：量子多路访问通道的同时经典量子容量。
6. Capacity estimation and verification of quantum channels with arbitrarily correlated errors [O] . Corsin Pfister, M. Adriaan Rol, Atul Mantri, -1

机译：具有任意相关误差的量子通道的容量估计和验证
7. Entanglement-assisted capacities of compound quantum channels [O] . Berta Mario, Gharibyan Hrant, Walter Michael 2017

机译：复合量子通道的纠缠辅助能力

Entanglement-Assisted Capacities of Compound Quantum Channels

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