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Communication over a noisy quantum channel introduces errors in the transmission that must be corrected. A fundamental bound on quantum error correction is the quantum capacity, which quantifies the amount of quantum data that can be…

量子物理 · 物理学 2009-02-20 Graeme Smith , Jon Yard

We discuss concepts of message identification in the sense of Ahlswede and Dueck via general quantum channels, extending investigations for classical channels, initial work for classical-quantum (cq) channels and "quantum fingerprinting".…

量子物理 · 物理学 2016-09-08 Andreas Winter

Recently, the Gaussian optimizer conjecture in quantum information theory was confirmed for bosonic Gaussian gauge-covariant or contravariant channels. These results use the i.i.d. model of the quantum noise. In this paper we consider…

量子物理 · 物理学 2018-12-12 A. S. Holevo

A complete degradability analysis of one-mode Gaussian Bosonic channels is presented. We show that apart from the class of channels which are unitarily equivalent to the channels with additive classical noise, these maps can be…

量子物理 · 物理学 2009-11-13 F. Caruso , V. Giovannetti , A. S. Holevo

In this paper the cognitive interference channel with a common message, a variation of the classical cognitive interference channel in which the cognitive message is decoded at both receivers, is studied. For this channel model new outer…

信息论 · 计算机科学 2012-08-21 Stefano Rini , Carolin Huppert

We study entanglement-assisted quantum and classical communication over a single use of a quantum channel, which itself can correspond to a finite number of uses of a channel with arbitrarily correlated noise. We obtain characterizations of…

量子物理 · 物理学 2013-06-20 Nilanjana Datta , Min-Hsiu Hsieh

We give a short proof that the coherent information is an achievable rate for the transmission of quantum information through a noisy quantum channel. Our method is to produce random codes by performing a unitarily covariant projective…

量子物理 · 物理学 2016-11-17 Patrick Hayden , Michal Horodecki , Andreas Winter , Jon Yard

We determine the capacity of the classical compound quantum wiretapper channel with channel state information at the transmitter. Moreover we derive a lower bound on the capacity of this channel without channel state information and…

量子物理 · 物理学 2012-02-06 Minglai Cai , Ning Cai , Christian Deppe

We study two-receiver Poisson channels using tools derived from stochastic calculus. We obtain a general formula for the mutual information over the Poisson channel that allows for conditioning and the use of auxiliary random variables. We…

信息论 · 计算机科学 2019-11-12 Nirmal V. Shende , Aaron B. Wagner

In a recent series of works [Ebler et al. Phys. Rev. Lett. 120, 120502 (2018); arXiv:1809.06655v2; arXiv:1810.10457v2], it has been proposed that the quantum superposition of causal order -- the quantum switch -- may offer an enhancement of…

量子物理 · 物理学 2019-06-24 Philippe Allard Guérin , Giulia Rubino , Časlav Brukner

Capacity of a quantum channel characterizes the limits of reliable communication through a noisy quantum channel. This fundamental information theoretic question is very well studied specially in the setting of many independent uses of the…

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

The inherent noise and complexity of quantum communication networks leads to challenges in designing quantum network protocols using classical methods. To address this issue, we develop a variational quantum optimization framework that…

量子物理 · 物理学 2023-04-14 Brian Doolittle , Tom Bromley , Nathan Killoran , Eric Chitambar

Being attracted by the property of classical polar code, researchers are trying to find its analogue in quantum fields, which is called quantum polar code. The first step and the key to design quantum polar code is to find out for the…

量子物理 · 物理学 2022-03-25 Zhengzhong Yi , Zhipeng Liang , Xuan Wang

We study the communication capacities of bosonic broadband channels in the presence of different sources of noise. In particular we analyze lossy channels in presence of white noise and thermal bath. In this context, we provide a numerical…

量子物理 · 物理学 2009-11-10 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone , Peter W. Shor

Communication over a random-parameter quantum channel when the decoder is required to reconstruct the parameter sequence is considered. We study scenarios that include either strictly-causal, causal, or non-causal channel side information…

信息论 · 计算机科学 2021-09-28 Uzi Pereg

We introduce a general model for a lossy bosonic memory channel and calculate the classical and the quantum capacity, proving that coherent state encoding is optimal. The use of a proper set of collective field variables allows to unravel…

量子物理 · 物理学 2010-01-20 Cosmo Lupo , Vittorio Giovannetti , Stefano Mancini

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

We prove the equivalence of an arbitrary single-mode Gaussian quantum channel and a newly defined fiducial channel preceded by a phase shift and followed by a Gaussian unitary operation. This equivalence implies that the energy-constrained…

We analyze the quantum binary adder channel, i.e. the quantum generalization of the classical, and well-studied, binary adder channel: in this model qubits rather than classical bits are transmitted. This of course is as special case of the…

量子物理 · 物理学 2007-05-23 Gleb V. Klimovitch , Andreas Winter

Local noise can produce quantum correlations on an initially classically correlated state, provided that it is not represented by a unital or semi-classical channel \cite{DagmarBruss}. We find the power of any given local channel for…

量子物理 · 物理学 2015-06-12 Tahere Abad , Vahid Karimipour , Laleh Memarzadeh