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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

We show that entanglement is a useful resource to enhance the mutual information of the depolarizing channel when the noise on consecutive uses of the channel has some partial correlations. We obtain a threshold in the degree of memory,…

量子物理 · 物理学 2009-11-07 Chiara Macchiavello , G. Massimo Palma

Following initial work by Gregoratti and Werner [J. Mod. Optics 50, 913-933, 2003 and quant-ph/0403092] and Hayden and King [quant-ph/0409026], we study the problem of the capacity of a quantum channel assisted by a "friendly (channel)…

量子物理 · 物理学 2017-08-01 Andreas Winter

We discuss the estimation of channel parameters for a noisy quantum channel - the so-called Pauli channel - using finite resources. It turns out that prior entanglement considerably enhances the fidelity of the estimation when we compare it…

量子物理 · 物理学 2009-11-07 Dietmar G. Fischer , Holger Mack , Markus A. Cirone , Matthias Freyberger

We consider interactions as bidirectional channels. We investigate the capacities for interaction Hamiltonians and nonlocal unitary gates to generate entanglement and transmit classical information. We give analytic expressions for the…

量子物理 · 物理学 2016-11-17 C. H. Bennett , A. W. Harrow , D. W. Leung , J. A. Smolin

The uncertainty relation reveals the intrinsic difference between the classical world and the quantum world. We investigate the quantum uncertainty relation of quantum channel in qubit systems. Under two general measurement bases, we first…

量子物理 · 物理学 2024-09-02 Shi-Yun Kong , Ming-Jing Zhao , Zhi-Xi Wang , Shao-Ming Fei

The squashed entanglement of a quantum channel is an additive function of quantum channels, which finds application as an upper bound on the rate at which secret key and entanglement can be generated when using a quantum channel a large…

量子物理 · 物理学 2016-04-26 Kaushik P. Seshadreesan , Masahiro Takeoka , Mark M. Wilde

The single-letter characterisation of the entanglement-assisted capacity of a quantum channel is one of the seminal results of quantum information theory. In this paper, we consider a modified communication scenario in which the receiver is…

量子物理 · 物理学 2024-09-16 Kaiyuan Ji , Bartosz Regula , Mark M. Wilde

Quantum correlation often refers to correlations exhibited by two or more local subsystems under a suitable measurement. These correlations are beyond the framework of classical statistics and the associated classical probability…

量子物理 · 物理学 2022-11-09 Biveen Shajilal , Elanor Huntington , Ping Koy Lam , Syed Assad

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

Entanglement and entanglement-assisted are useful resources to enhance the mutual information of the Pauli channels, when the noise on consecutive uses of the channel has some partial correlations. In this Paper, we study…

量子物理 · 物理学 2015-06-26 A. Fahmi , M. Golshani

The capacity of noisy quantum channels characterizes the highest rate at which information can be reliably transmitted and it is therefore of practical as well as fundamental importance. Capacities of classical channels are computed using…

量子物理 · 物理学 2021-07-02 Navneeth Ramakrishnan , Raban Iten , Volkher B. Scholz , Mario Berta

Quantum communication relies on the existence of high quality quantum channels to exchange information. In practice, however, all communication links are affected by noise from the environment. Here we investigate the ability of quantum…

量子物理 · 物理学 2025-08-12 Vishal Singh , Mark M. Wilde

The tight, in a sense, lower estimates of diamond-norm distance from a given quantum channel to the sets of degradable, antidegradable and entanglement-breaking channels are obtained via the tight continuity bounds for quantum mutual…

量子物理 · 物理学 2019-10-18 M. E. Shirokov , A. V. Bulinski

We determine the optimal rates of universal quantum codes for entanglement transmission and generation under channel uncertainty. In the simplest scenario the sender and receiver are provided merely with the information that the channel…

量子物理 · 物理学 2015-05-13 I. Bjelakovic , H. Boche , J. Noetzel

The one-shot success probability of a noisy classical channel for transmitting one classical bit is the optimal probability with which the bit can be sent via a single use of the channel. Prevedel et al. (PRL 106, 110505 (2011)) recently…

量子物理 · 物理学 2013-06-05 Brett Hemenway , Carl A. Miller , Yaoyun Shi , Mary Wootters

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on…

高能物理 - 理论 · 物理学 2011-02-09 Mark P. Hertzberg , Frank Wilczek

We introduce the use of entanglement entropy as a tool for studying the amount of information shared between the nodes of quantum complex networks. By considering the ground state of a network of coupled quantum harmonic oscillators, we…

物理与社会 · 物理学 2013-05-16 Alessio Cardillo , Fernando Galve , David Zueco , Jesús Gómez-Gardeñes

The capacity of quantum channel with product input states was formulated by the quantum coding theorem. However, whether entangled input states can enhance the quantum channel is still open. It turns out that this problem is reduced to…

量子物理 · 物理学 2007-05-23 Susumu Osawa , Hiroshi Nagaoka

One of the major achievements of the recently emerged quantum information theory is the introduction and thorough investigation of the notion of quantum channel which is a basic building block of any data-transmitting or data-processing…

量子物理 · 物理学 2012-03-23 A. S. Holevo , V. Giovannetti