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We consider the problem of transmitting classical and quantum information reliably over an entanglement-assisted quantum channel. Our main result is a capacity theorem that gives a three-dimensional achievable rate region. Points in the…

量子物理 · 物理学 2010-08-23 Min-Hsiu Hsieh , Mark M. Wilde

Quantum Shannon theory is loosely defined as a collection of coding theorems, such as classical and quantum source compression, noisy channel coding theorems, entanglement distillation, etc., which characterize asymptotic properties of…

量子物理 · 物理学 2008-10-03 I. Devetak , A. W. Harrow , A. Winter

We consider the problem of communicating quantum states by simultaneously making use of a noiseless classical channel, a noiseless quantum channel and shared entanglement. We specifically study the version of the problem in which the sender…

量子物理 · 物理学 2007-05-23 Anura Abeyesinghe , Patrick Hayden

We study the problem of transmission of classical messages through a quantum channel in several network scenarios in the one-shot setting. We consider both the entanglement assisted and unassisted cases for the point to point quantum…

量子物理 · 物理学 2019-03-19 Anurag Anshu , Rahul Jain , Naqueeb Ahmad Warsi

Coding theorems in quantum Shannon theory express the ultimate rates at which a sender can transmit information over a noisy quantum channel. More often than not, the known formulas expressing these transmission rates are intractable,…

量子物理 · 物理学 2010-06-15 Kamil Bradler , Patrick Hayden , Dave Touchette , Mark M. Wilde

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

Shannon's channel coding theorem describes the maximum possible rate of reliable information transfer through a classical noisy communication channel. It, together with the source coding theorem, characterizes lossless channel communication…

量子物理 · 物理学 2021-05-17 Sristy Agrawal , Rajashik Tarafder , Graeme Smith , Arup Roy , Manik Banik

Quantum resources, such as entanglement or quantum communication, offer significant communication advantages in information processing. We develop an operational framework for realizing these communication advantages in resource-constrained…

量子物理 · 物理学 2026-04-16 Brian Doolittle , Felix Leditzky , Eric Chitambar

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

We analyze a task in which classical and quantum messages are simultaneously communicated via a noisy quantum channel, assisted with a limited amount of shared entanglement. We derive direct and converse bounds for the one-shot capacity…

量子物理 · 物理学 2023-02-14 Eyuri Wakakuwa , Yoshifumi Nakata

In quantum Shannon theory, the way information is encoded and decoded takes advantage of the laws of quantum mechanics, while the way communication channels are interlinked is assumed to be classical. In this Letter we relax the assumption…

量子物理 · 物理学 2018-03-28 Daniel Ebler , Sina Salek , Giulio Chiribella

Current advancements in communication equipment demand the investigation of classical information transfer over quantum channels, by encompassing realistic scenarios in finite dimensions. To address this issue, we develop a framework for…

量子物理 · 物理学 2026-01-08 Sudipta Mondal , Pritam Halder , Saptarshi Roy , Aditi Sen De

The dynamic capacity theorem characterizes the reliable communication rates of a quantum channel when combined with the noiseless resources of classical communication, quantum communication, and entanglement. In prior work, we proved the…

量子物理 · 物理学 2012-10-23 Mark M. Wilde , Min-Hsiu Hsieh

We consider communication between two parties using a bipartite quantum operation, which constitutes the most general quantum mechanical model of two-party communication. We primarily focus on the simultaneous forward and backward…

量子物理 · 物理学 2014-11-18 Andrew M. Childs , Debbie W. Leung , Hoi-Kwong Lo

A promising platform for semi-device-independent quantum information is prepare-and-measure experiments restricted only by a bound on the energy of the communication. Here, we investigate the role of shared entanglement in such scenarios.…

量子物理 · 物理学 2026-03-19 Carles Roch I Carceller , Armin Tavakoli

We analyze implementations of bipartite unitaries by means of local operations and classical communication (LOCC) assisted by shared entanglement. We employ concepts and techniques developed in quantum Shannon theory to study an asymptotic…

量子物理 · 物理学 2018-03-26 Eyuri Wakakuwa , Akihito Soeda , Mio Murao

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 more than thirty years old issue of the information capacity of quantum communication channels was dramatically clarified during the last period, when a number of direct quantum coding theorems was discovered. To considerable extent…

量子物理 · 物理学 2007-05-23 A. S. Holevo

The entanglement cost of a quantum channel is the minimal rate at which entanglement (between sender and receiver) is needed in order to simulate many copies of a quantum channel in the presence of free classical communication. In this…

量子物理 · 物理学 2015-11-03 Mario Berta , Fernando Brandao , Matthias Christandl , Stephanie Wehner

Efficient entanglement distribution is the foundational challenge in realizing large-scale Quantum Networks. However, state-of-the-art solutions are frequently limited by restrictive operational assumptions, prohibitive computational…

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