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The full solution of the optimization problem giving the Gaussian capacity of the single-mode fiducial Gaussian quantum channel is provided. Since it was shown that the Gaussian capacity of an arbitrary (phase-sensitive or insensitive)…

Quantum Physics · Physics 2016-09-19 Joachim Schäfer , Evgueni Karpov , Oleg V. Pilyavets , Nicolas J. Cerf

We present an algorithm for calculation of the Gaussian classical capacity of a quantum bosonic memory channel with additive Gaussian noise. The algorithm, restricted to Gaussian input states, is applicable to all channels with noise…

Quantum Physics · Physics 2015-03-17 Joachim Schäfer , Evgueni Karpov , Nicolas J. Cerf

We present a new achievable rate region for the two-user binary-input classical-quantum broadcast channel. The result is a generalization of the classical Marton-Gelfand-Pinsker region and is provably larger than the best previously known…

Quantum Physics · Physics 2015-10-06 Christoph Hirche , Ciara Morgan

The problem of transmitting a common message to multiple users over the Gaussian multiple-input multiple-output broadcast channel is considered, where each user is equipped with an arbitrary number of antennas. A closed-loop scenario is…

Information Theory · Computer Science 2016-11-17 Anatoly Khina , Idan Livni , Ayal Hitron , Uri Erez

The Gaussian parallel relay network, in which two parallel relays assist a source to convey information to a destination, was introduced by Schein and Gallager. An upper bound on the capacity can be obtained by considering broadcast cut…

Information Theory · Computer Science 2016-04-13 Satyajit Thakor , Syed Abbas

In this paper, we investigate the signal shaping in a two-user discrete time memoryless Gaussian multiple-access channel (MAC) with computation. It is shown that by optimizing input probability distribution, the transmission rate per…

Information Theory · Computer Science 2017-01-26 Zhiyong Chen , Hui Liu

The achievable rate of information transfer in optical communications is determined by the physical properties of the communication channel, such as the intrinsic channel noise. Bosonic phase-noise channels, a class of non-Gaussian…

Quantum Physics · Physics 2019-08-08 M. T. DiMario , L. Kunz , K Banaszek , F. E. Becerra

The stability of Bernstein's characterization of Gaussian distributions is extended to vectors by utilizing characteristic functions. Stability is used to develop a soft doubling argument that establishes the optimality of Gaussian vectors…

Information Theory · Computer Science 2023-08-15 Mohammad Mahdi Mahvari , Gerhard Kramer

This paper considers the single antenna, static Gaussian broadcast channel in the finite blocklength regime. Second order achievable and converse rate regions are presented. Both a global reliability requirement and per-user reliability…

Information Theory · Computer Science 2022-10-03 Daniela Tuninetti , Paul Sheldon , Besma Smida , Natasha Devroye

This paper considers a degraded Gaussian broadcast channel over which Gaussian sources are to be communicated. When the sources are independent, this paper shows that hybrid coding achieves the optimal distortion region, the same as that of…

Information Theory · Computer Science 2009-06-16 Rajiv Soundararajan , Sriram Vishwanath

This paper is concerned with general interference channels characterized by a sequence of transition (conditional) probabilities. We present a general formula for the capacity region of the interference channel with two pairs of users. The…

Information Theory · Computer Science 2012-02-03 Lei Lin , Xiao Ma , Xiujie Huang , Baoming Bai

Quantum steering is a crucial quantum resource that lies intermediate between entanglement and Bell nonlocality. Gaussian channels, meanwhile, play a foundational role in diverse quantum protocols, secure communication, and related fields.…

Quantum Physics · Physics 2026-04-13 Ruifen Ma , Yanjing Sun , Xiaofei Qi

We study the amplitude-constrained additive white Gaussian noise channel. It is well known that the capacity-achieving input distribution for this channel is discrete and supported on finitely many points. The best known bounds show that…

Information Theory · Computer Science 2026-03-26 Haiyang Wang , Luca Barletta , Alex Dytso

This paper studies the optimal points in the capacity region of Gaussian multiple access channels (GMACs) with constant fading, multiple antennas and various power constraints. The points of interest maximize general rate objectives that…

Information Theory · Computer Science 2016-01-15 Daniel Calabuig , Ramy H. Gohary , Halim Yanikomeroglu

This work focuses on the construction of optimized binary signaling schemes for two-sender uncoded transmission of correlated sources over non-orthogonal Gaussian multiple access channels. Specifically, signal constellations with binary…

Information Theory · Computer Science 2017-07-20 Jian-Jia Weng , Fady Alajaji , Tamás Linder

This paper studies network information theory problems where the external noise is Gaussian distributed. In particular, the Gaussian broadcast channel with coherent fading and the Gaussian interference channel are investigated. It is shown…

Information Theory · Computer Science 2010-02-12 Emmanuel Abbe , Lizhong Zheng

We compute Shannon capacity of nonlinear channels with regenerative elements. Conditions are found under which capacity of such nonlinear channels is higher than the Shannon capacity of the classical linear additive white Gaussian noise…

Information Theory · Computer Science 2013-05-08 M. A. Sorokina , S. K. Turitsyn

One of the key open problems in network information theory is to obtain the capacity region for the two-user Interference Channel (IC). In this paper, new results are derived for this channel. As a first result, a noisy interference regime…

Information Theory · Computer Science 2013-02-08 Reza K. Farsani

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…

Quantum Physics · Physics 2007-05-23 A. S. Holevo

A formula is derived for the capacity of the Gaussian channel with a benevolent message-cognizant rate-limited helper that provides a noncausal description of the noise to the encoder and decoder. This capacity is strictly larger than when…

Information Theory · Computer Science 2023-10-25 Amos Lapidoth , Ligong Wang , Yiming Yan