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相关论文: On zero-error communication via quantum channels i…

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Shannon's theory of zero-error communication is re-examined in the broader setting of using one classical channel to simulate another exactly, and in the presence of various resources that are all classes of non-signalling correlations:…

量子物理 · 物理学 2016-11-17 Toby S. Cubitt , Debbie Leung , William Matthews , Andreas Winter

In Shannon information theory the capacity of a memoryless communication channel cannot be increased by the use of feedback. In quantum information theory the no-cloning theorem means that noiseless copying and feedback of quantum…

量子物理 · 物理学 2016-11-17 Garry Bowen

In Shannon information theory the capacity of a memoryless communication channel cannot be increased by the use of feedback from receiver to sender. In this paper the use of classical feedback is shown to provide no increase in the…

量子物理 · 物理学 2007-05-23 Garry Bowen , Rajagopal Nagarajan

We study the one-shot zero-error classical capacity of a quantum channel assisted by quantum no-signalling correlations, and the reverse problem of exact simulation of a prescribed channel by a noiseless classical one. Quantum no-signalling…

量子物理 · 物理学 2016-01-26 Runyao Duan , Andreas Winter

We study the activated quantum no-signalling-assisted zero-error classical capacity by first allowing the assistance from some noiseless forward communication channel and later paying back the cost of the helper. This activated…

量子物理 · 物理学 2017-12-19 Runyao Duan , Xin Wang

We study various super-activation effects in the following zero-error communication scenario: One sender wants to send classical or quantum information through a noisy quantum channel to one receiver with zero probability of error. First we…

量子物理 · 物理学 2009-06-16 Runyao Duan

We study the quantum channel version of Shannon's zero-error capacity problem. Motivated by recent progress on this question, we propose to consider a certain operator space as the quantum generalisation of the adjacency matrix, in terms of…

量子物理 · 物理学 2013-04-19 Runyao Duan , Simone Severini , Andreas Winter

The zero-error capacity of a noisy classical channel quantifies its ability to transmit information with absolute certainty, i.e., without any error. Unlike Shannon's standard channel capacity, which remains unaffected by pre-shared…

We introduce a resource theory of channels relevant to communication via quantum channels, in which the set of constant channels --- useless channels for communication tasks --- is considered as the free resource. We find that our theory…

量子物理 · 物理学 2020-03-27 Ryuji Takagi , Kun Wang , Masahito Hayashi

The entanglement-assisted classical capacity of a noisy quantum channel is the amount of information per channel use that can be sent over the channel in the limit of many uses of the channel, assuming that the sender and receiver have…

量子物理 · 物理学 2007-05-23 Charles H. Bennett , Peter W. Shor , John A. Smolin , Ashish V. Thapliyal

The fundamental limits of communication over state-dependent discrete memoryless channels with noiseless feedback are studied, under the assumption that the communicating parties are allowed to use variable-length coding schemes. Various…

信息论 · 计算机科学 2020-08-13 Mladen Kovačević , Carol Wang , Vincent Y. F. Tan

The Quantum Reverse Shannon Theorem has been a milestone in quantum information theory. It states that asymptotically reliable simulation of a quantum channel, assisted by unlimited shared entanglement, requires a rate of classical…

量子物理 · 物理学 2025-02-18 Ke Li , Yongsheng Yao

The entanglement-assisted classical capacity of a quantum channel is known to provide the formal quantum generalization of Shannon's classical channel capacity theorem, in the sense that it admits a single-letter characterization in terms…

量子物理 · 物理学 2016-05-31 Nilanjana Datta , Marco Tomamichel , Mark M. Wilde

The zero-error capacity of quantum channels was defined as the least upper bound of rates at which classical information can be transmitted through a quantum channel with probability of error equal to zero. This paper investigates some…

量子物理 · 物理学 2007-05-23 Rex A C Medeiros , Romain Alleaume , Gerard Cohen , Francisco M. de Assis

The zero-error feedback capacity of the Gelfand-Pinsker channel is established. It can be positive even if the channel's zero-error capacity is zero in the absence of feedback. Moreover, the error-free transmission of a single bit may…

信息论 · 计算机科学 2016-07-11 Annina Bracher , Amos Lapidoth

The zero-error capacity of a channel is the rate at which it can send information perfectly, with zero probability of error, and has long been studied in classical information theory. We show that the zero-error capacity of quantum channels…

量子物理 · 物理学 2011-09-13 Toby S. Cubitt , Graeme Smith

Given one or more uses of a classical channel, only a certain number of messages can be transmitted with zero probability of error. The study of this number and its asymptotic behaviour constitutes the field of classical zero-error…

量子物理 · 物理学 2010-11-01 Toby S. Cubitt , Debbie Leung , William Matthews , Andreas Winter

The zero-error classical capacity of a quantum channel is the asymptotic rate at which it can be used to send classical bits perfectly, so that they can be decoded with zero probability of error. We show that there exist pairs of quantum…

量子物理 · 物理学 2012-01-31 Toby S. Cubitt , Jianxin Chen , Aram W. Harrow

One of the most surprising recent results in quantum Shannon theory is the superactivation of the quantum capacity of a quantum channel. This phenomenon has its roots in the extreme violation of additivity of the channel capacity and…

量子物理 · 物理学 2012-08-28 Laszlo Gyongyosi , Sandor Imre

Dual to the usual noisy channel coding problem, where a noisy (classical or quantum) channel is used to simulate a noiseless one, reverse Shannon theorems concern the use of noiseless channels to simulate noisy ones, and more generally the…

量子物理 · 物理学 2014-07-22 Charles H. Bennett , Igor Devetak , Aram W. Harrow , Peter W. Shor , Andreas Winter
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