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In this paper we consider the classical capacity problem for Gaussian measurement channels without imposing any kind of threshold condition. We prove Gaussianity of the average state of the optimal ensemble in general and discuss the…

量子物理 · 物理学 2022-04-04 A. S. Holevo

Two new classes of quantum channels, which we call more capable and less noisy, are introduced. The more capable class consists of channels such that the quantum capacities of the complementary channels to the environments are zero. The…

量子物理 · 物理学 2012-01-26 Shun Watanabe

The long-standing conjectures of the optimality of Gaussian inputs for Gaussian channel and Gaussian additivity are solved for a broad class of covariant or contravariant Bosonic Gaussian channels (which includes in particular thermal,…

量子物理 · 物理学 2015-03-04 V. Giovannetti , A. S. Holevo , R. Garcia-Patron

A long-standing problem on the classical capacity of bosonic Gaussian channels has recently been resolved by proving the minimum output entropy conjecture. It is also known that the ultimate capacity quantified by the Holevo bound can be…

量子物理 · 物理学 2015-05-07 Jaehak Lee , Se-Wan Ji , Jiyong Park , Hyunchul Nha

Gaussian quantum channels have recently attracted a growing interest, since they may lead to a tractable approach to the generally hard problem of evaluating quantum channel capacities. However, the analysis performed so far has always been…

量子物理 · 物理学 2010-02-18 Nicolas J. Cerf , Julien Clavareau , Jérémie Roland , Chiara Macchiavello

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

We study the quantum capacity of continuous variable dephasing channel, which is a notable example of non-Gaussian quantum channel. We prove that a single letter formula applies. We then consider input energy restriction and show that by…

量子物理 · 物理学 2021-03-24 Amir Arqand , Laleh Memarzadeh , Stefano Mancini

Determining the ultimate classical information carrying capacity of electromagnetic waves requires quantum-mechanical analysis to properly account for the bosonic nature of these waves. Recent work has established capacity theorems for…

量子物理 · 物理学 2008-02-10 Saikat Guha , Jeffrey H. Shapiro , Baris I. Erkmen

We address the classical capacity of a quantum bosonic memory channel with additive noise, subject to an input energy constraint. The memory is modeled by correlated noise emerging from a Gauss-Markov process. Under reasonable assumptions,…

量子物理 · 物理学 2009-12-08 Joachim Schäfer , David Daems , Evgueni Karpov , Nicolas J. Cerf

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 prove the multimode conditional quantum Entropy Power Inequality for bosonic quantum systems. This inequality determines the minimum conditional von Neumann entropy of the output of the most general linear mixing of bosonic quantum modes…

量子物理 · 物理学 2025-07-08 Alessandro Falco , Giacomo De Palma

We prove an upper bound on the private capacity of the single-mode noiseless bosonic wiretap channel. Combined with a previous lower bound, we obtain the low photon-number asymptotic expression for the private capacity. We then show that…

量子物理 · 物理学 2012-02-07 Ligong Wang , Jeffrey H. Shapiro , Nivedita Chandrasekaran , Gregory W. Wornell

In this work we design a specific simulation tool for quantum channels which is based on the use of a control system. This allows us to simulate an average quantum channel which is expressed in terms of an ensemble of channels, even when…

量子物理 · 物理学 2018-12-19 Stefano Pirandola , Riccardo Laurenza , Leonardo Banchi

We study quantum channels that vary on time in a deterministic way, that is, they change in an independent but not identical way from one to another use. We derive coding theorems for the classical entanglement assisted and unassisted…

量子物理 · 物理学 2021-02-05 Samad Khabbazi Oskouei , Stefano Mancini

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

This paper derives an outer bound on the capacity region of a general memoryless interference channel with an arbitrary number of users. The derivation follows from a generalization of the techniques developed by Kramer and by Etkin et al…

信息论 · 计算机科学 2016-11-17 Daniela Tuninetti

We present a comprehensive characterization of the interconnections between single-mode, phaseinsensitive Gaussian Bosonic Channels resulting from channel concatenation. This characterization enables us to identify, in the parameter space…

量子物理 · 物理学 2024-09-27 Farzad Kianvash , Marco Fanizza , Vittorio Giovannetti

The two-way capacities of quantum channels determine the ultimate entanglement and secret-key distribution rates achievable by two distant parties that are connected by a noisy transmission line, in absence of quantum repeaters. Since…

量子物理 · 物理学 2025-01-27 Francesco Anna Mele , Ludovico Lami , Vittorio Giovannetti

Quantum entropy inequalities are studied. Some quantum entropy inequalities are obtained by several methods. For entanglement breaking channel, we show that the entanglement-assisted classical capacity is upper bounded by $\log d$. A…

量子物理 · 物理学 2009-11-07 Heng Fan

A general quantum noisy channel is analyzed, wherein the transmitted qubits may experience symmetry-breaking decoherence, along with memory effects. We find the optimal basis not to be fully entangled, but a combination of factorized and…

量子物理 · 物理学 2015-05-13 Goren Gordon , Gershon Kurizki