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Previous work on the classical information capacities of bosonic channels has established the capacity of the single-user pure-loss channel, bounded the capacity of the single-user thermal-noise channel, and bounded the capacity region of…

量子物理 · 物理学 2009-11-13 Saikat Guha , Jeffrey H. Shapiro , Baris I. Erkmen

We consider a setting where a stream of qubits is processed sequentially. We derive fundamental limits on the rate at which classical information can be transmitted using qubits that decohere as they wait to be processed. Specifically, we…

信息论 · 计算机科学 2020-08-11 Prabha Mandayam , Krishna Jagannathan , Avhishek Chatterjee

The purpose of this work is to extend the result of previous papers quant-ph/9611023, quant-ph/9703013 to quantum channels with additive constraints onto the input signal, by showing that the capacity of such channel is equal to the…

量子物理 · 物理学 2007-05-23 A. S. Holevo

The applications of the general formulae of channel capacity developed in the quantum information theory to evaluation of information transmission capacity of optical channel are interesting subjects. In this review paper, we will point out…

量子物理 · 物理学 2007-05-23 Masaki Sohma , Osamu Hirota

We show that for the tensor product of an entanglement-breaking quantum channel with an arbitrary quantum channel, both the minimum entropy of an output of the channel and the Holevo-Schumacher-Westmoreland capacity are additive. In…

量子物理 · 物理学 2015-06-26 Peter W. Shor

Quantum queue-channels arise naturally in the context of buffering in quantum networks, wherein the noise suffered by the quantum states depends on the time spent waiting in the buffer. It has been shown that the upper-bound on the…

We investigate the quantum capacity of noisy quantum channels which can be represented by coupling a system to an effectively small environment. A capacity formula is derived for all cases where both system and environment are…

量子物理 · 物理学 2009-11-13 Michael M. Wolf , David Perez-Garcia

The present paper is devoted to investigation of the classical capacity of infinite-dimensional quantum measurement channels. A number of usable conditions are introduced that enable us to apply previously obtained general results to…

量子物理 · 物理学 2020-08-31 A. S. Holevo , A. A. Kuznetsova

In this paper, we compute the exact values of the minimum output entropy and the completely bounded minimal entropy of very large classes of quantum channels acting on matrix algebras $\mathrm{M}_n$. Our new and simple approach relies on…

算子代数 · 数学 2025-02-06 Cédric Arhancet

We propose a method to detect lower bounds to quantum capacities of a noisy quantum communication channel by means of few measurements. The method is easily implementable and does not require any knowledge about the channel. We test its…

量子物理 · 物理学 2016-04-12 Chiara Macchiavello , Massimiliano F. Sacchi

We show how to compute or at least to estimate various capacity-related quantities for Bosonic Gaussian channels. Among these are the coherent information, the entanglement assisted classical capacity, the one-shot classical capacity, and a…

量子物理 · 物理学 2007-05-23 A. S. Holevo , R. F. Werner

This paper was presented in poster form at and in the proceedings of the QCMC 2008. It is a summary of a fuller paper to appear separately. The classical product state capacity of a noisy quantum channel with memory is investigated. A…

量子物理 · 物理学 2012-08-16 I. Akhalwaya , J. Wouters , M. Fannes , F. Petruccione

Almost all modern communication systems rely on electromagnetic fields as a means of information transmission, and finding the capacities of these systems is a problem of significant practical importance. The Additive White Gaussian Noise…

量子物理 · 物理学 2013-02-05 Robert Koenig , Graeme Smith

I show that classical capacity per unit cost of noisy bosonic Gaussian channels can be attained by employing generalized on-off keying modulation format and a projective measurement of individual output states. This means that neither…

量子物理 · 物理学 2021-08-30 Marcin Jarzyna

The quantum channel capacity gives the ultimate limit for the rate at which quantum data can be reliably transmitted through a noisy quantum channel. Degradable quantum channels are among the few channels whose quantum capacities are known.…

量子物理 · 物理学 2011-03-31 Markus Grassl , Zhengfeng Ji , Zhaohui Wei , Bei Zeng

The one-shot classical capacity of a quantum channel quantifies the amount of classical information that can be transmitted through a single use of the channel such that the error probability is below a certain threshold. In this work, we…

量子物理 · 物理学 2013-01-29 Ligong Wang , Renato Renner

We study information transmission over a fully correlated amplitude damping channel acting on two qubits. We derive the single-shot classical channel capacity and show that entanglement is needed to achieve the channel best performance. We…

量子物理 · 物理学 2013-11-01 A. D'Arrigo , G. Benenti , G. Falci , C. Macchiavello

Fundamental limits on communication rates over quantum channels are given by mathematical expressions involving entropic formulas. Often, it is unclear if these expressions are computable. This thesis describes contributions to the study of…

量子物理 · 物理学 2023-04-28 Mohammad A. Alhejji

We introduce potential capacities of quantum channels in an operational way and provide upper bounds for these quantities, which quantify the ultimate limit of usefulness of a channel for a given task in the best possible context.…

量子物理 · 物理学 2016-02-17 Andreas Winter , Dong Yang

The classical capacity of a quantum channel with arbitrary Markovian correlated noise is evaluated. For the general case of a channel with long-term memory, which corresponds to a Markov chain which does not converge to equilibrium, the…

量子物理 · 物理学 2015-05-13 Nilanjana Datta , Tony Dorlas