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For the class of the memoryless binary-input channels which are not necessarily symmetric, we derive tight bounds on the capacity in terms of the Bhattacharyya parameter. As it turns out, the bounds derived under the symmetric channel…

信息论 · 计算机科学 2017-10-31 Mustafa Kesal

The minimization of Gibbs free energy is based on the changes in work and free energy that occur in a physical or chemical system. The maximization of mutual information, the capacity, of a noisy channel is determined based on the marginal…

统计力学 · 物理学 2008-09-23 David Ford

Reciprocal pairs of quantum channels are defined as completely positive transformations which admit a rigid, distance-preserving, yet not completely-positive transformation that allows to reproduce the outcome of one from the corresponding…

量子物理 · 物理学 2018-05-23 Matteo Rosati , Vittorio Giovannetti

In this paper, we investigate the quantization of the output of a binary input discrete memoryless channel that maximizing the mutual information between the input and the quantized output under an entropy-constrained of the quantized…

信息论 · 计算机科学 2020-01-08 Thuan Nguyen , Thinh Nguyen

The work is devoted to study of quantum mutual information and coherent information -- the two important characteristics of quantum communication channel. Appropriate definitions of these quantities in the infinite-dimensional case are…

数学物理 · 物理学 2010-12-07 A. S. Holevo , M. E. Shirokov

The transmission of classical information over a classical channel gave rise to the classical capacity theorem with the optimal rate in terms of the classical mutual information. Despite classical information being a subset of quantum…

量子物理 · 物理学 2023-09-26 Zahra Baghali Khanian

We prove new quantitative limitations on any approximate simultaneous cloning or broadcasting of mixed states. The results are based on information-theoretic (entropic) considerations and generalize the well known no-cloning and…

量子物理 · 物理学 2017-07-12 Marius Lemm , Mark M. Wilde

An expression is derived characterizing the set of admissible rate pairs for simultaneous transmission of classical and quantum information over a given quantum channel, generalizing both the classical and quantum capacities of the channel.…

量子物理 · 物理学 2007-05-23 I. Devetak , P. W. Shor

Information capacity enhancement through the coherent control of channels has attracted much attention of late, with work exploring the effect of coherent control of channel causal orders, channel superpositions, and information encoding.…

Noisy quantum channels may be used in many information carrying applications. We show that different applications may result in different channel capacities. Upper bounds on several of these capacities are proved. These bounds are based on…

量子物理 · 物理学 2009-10-30 Howard Barnum , M. A. Nielsen , Benjamin Schumacher

Evaluating the channel capacity is one of many key problems in information theory. In this work we derive rather-mild sufficient conditions under which the capacity is finite and achievable. These conditions are derived for generic,…

信息论 · 计算机科学 2015-12-18 Jihad Fahs , Ibrahim Abou-Faycal

We define classical-quantum multiway channels for transmission of classical information, after recent work by Allahverdyan and Saakian. Bounds on the capacity region are derived in a uniform way, which are analogous to the classically known…

量子物理 · 物理学 2016-11-15 Andreas Winter

In this letter, we prove that the classical capacity of quantum channel for $M$ symmetric states is achieved by an uniform distribution on a priori probabilities. We also investigate non-symmetric cases such as a ternary amplitude shift…

量子物理 · 物理学 2009-10-31 Kentaro Kato , Masao Osaki , Osamu Hirota

Quantum channel capacity is a fundamental quantity in order to understand how good can quantum information be transmitted or corrected when subjected to noise. However, it is generally not known how to compute such quantities, since the…

量子物理 · 物理学 2023-09-20 Josu Etxezarreta Martinez , Antonio deMarti iOlius , Pedro M. Crespo

Classical communication capacity of a channel can be enhanced either through a device called a 'quantum switch' or by putting the channel in a quantum superposition. The gains in the two cases, although different, have their origin in the…

量子物理 · 物理学 2020-01-27 Nicolas Loizeau , Alexei Grinbaum

Quantum communication channels differ from their classical counterparts because their capacities can be superadditive. The principle of monogamy of entanglement suggests that superadditive improvements in the transmission capacity of a…

量子物理 · 物理学 2025-11-06 Satvik Singh , Sergii Strelchuk

We present an upper bound for the quantum channel capacity that is both additive and convex. Our bound can be interpreted as the capacity of a channel for high-fidelity quantum communication when assisted by a family of channels that have…

量子物理 · 物理学 2008-08-28 Graeme Smith , John A. Smolin , Andreas Winter

We determine the capacity of compound classical-quantum channels. As a consequence we obtain the capacity formula for the averaged classical-quantum channels. The capacity result for compound channels demonstrates, as in the classical…

量子物理 · 物理学 2009-02-16 Igor Bjelakovic , Holger Boche

The design of error-correcting codes used in modern communications relies on information theory to quantify the capacity of a noisy channel to send information [1]. This capacity can be expressed using the mutual information between input…

量子物理 · 物理学 2019-07-17 M. B. Hastings

Synchronization channels, such as the well-known deletion channel, are surprisingly harder to analyze than memoryless channels, and they are a source of many fundamental problems in information theory and theoretical computer science. One…

信息论 · 计算机科学 2019-11-11 Mahdi Cheraghchi , João Ribeiro
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