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This paper characterizes the trade-offs between information and energy transmission over an additive white Gaussian noise channel in the finite block-length regime with finite sets of channel input symbols. These trade-offs are…

Information Theory · Computer Science 2023-05-25 Sadaf Ul Zuhra , Samir M. Perlaza , H. Vincent Poor , Mikael Skoglund

What is the ultimate performance for discriminating two arbitrary quantum channels acting on a finite-dimensional Hilbert space? Here we address this basic question by deriving a general and fundamental lower bound. More precisely, we…

Quantum Physics · Physics 2019-08-09 Stefano Pirandola , Riccardo Laurenza , Cosmo Lupo , Jason L. Pereira

The rapid advancement of generative artificial intelligence has spurred innovative approaches to semantic communication, giving rise to a new paradigm known as generative semantic communication (GSC). The integration of flexible cross-modal…

Signal Processing · Electrical Eng. & Systems 2025-11-03 Yiru Wang , Wanting Yang , Fangli Mou , Zehui Xiong , Zide Fan , Shiwen Mao , Tony Q. S. Quek

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…

Quantum Physics · Physics 2025-08-12 Vishal Singh , Mark M. Wilde

A new approach for upper bounding the channel reliability function using the code spectrum is described. It allows to treat both low and high rate cases in a unified way. In particular, the earlier known upper bounds are improved, and a new…

Information Theory · Computer Science 2007-07-13 Marat V. Burnashev

Gaussian MIMO channel under total transmit and interference power constraints (TPC and IPC) is considered. A closed-form solution for the optimal transmit covariance matrix in the general case is obtained using the KKT-based approach (up to…

Information Theory · Computer Science 2020-02-20 Sergey Loyka

The pure-loss channel is a fundamental model for describing noise in bosonic quantum platforms. It is characterised by a single parameter, the transmissivity, which quantifies the fraction of the input energy that reaches the output of the…

We determine the ultimate classical information capacity of a linear time-invariant bosonic channel with additive phase-insensitive Gaussian noise. This channel can model fiber-optic communication at power levels below the threshold for…

Quantum Physics · Physics 2016-04-06 Bhaskar Roy Bardhan , Jeffrey H. Shapiro

Basing on recently developed convex programming framework in the paper [arXiv:2204.10626], we provide a proof for a long-standing conjecture on optimality of Gaussian encondings for the ultimate communication rate of generalized heterodyne…

Quantum Physics · Physics 2023-07-25 A. S. Holevo , S. N. Filippov

The simulation of charge transport in ultra-scaled electronic devices requires the knowledge of the atomic configuration and the associated potential. Such "atomistic" device simulation is most commonly handled using a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Maarten L. Van de Put , Massimo V. Fischetti , William G. Vandenberghe

Discriminating between noisy quantum processes is a central primitive for quantum communication, metrology, and computing. While discrimination limits for finite-dimensional channels are well understood, the continuous-variable setting,…

Quantum Physics · Physics 2026-03-23 Zixin Huang , Ludovico Lami , Vishal Singh , Mark M. Wilde

We devise the optimal form of Gaussian resource states enabling continuous variable teleportation with maximal fidelity. We show that a nonclassical optimal fidelity of $N$-user teleportation networks is {\it necessary and sufficient} for…

Quantum Physics · Physics 2007-05-23 Gerardo Adesso , Fabrizio Illuminati

Communication channels are said to be underspread if their coherence time is greater than their delay spread. In such cases it can be shown that in the infinite bandwidth limit the information capacity tends to that of a channel with…

Information Theory · Computer Science 2014-06-24 Steven Herbert , Ian Wassell , Tian-Hong Loh

A pure-loss bosonic channel is a simple model for communication over free-space or fiber-optic links. More generally, phase-insensitive bosonic channels model other kinds of noise, such as thermalizing or amplifying processes. Recent work…

Quantum Physics · Physics 2016-03-22 Mark M. Wilde , Joseph M. Renes , Saikat Guha

We study private broadcasting of two messages to two groups of receivers over independent parallel channels. One group consists of an arbitrary number of receivers interested in a common message, whereas the other group has only one…

Information Theory · Computer Science 2013-01-01 Ashish Khisti , Tie Liu

This paper characterizes the trade-offs between information and energy transmission over an additive white Gaussian noise channel in the finite block-length regime with finite channel input symbols. These trade-offs are characterized in the…

Information Theory · Computer Science 2024-08-16 Sadaf ul Zuhra , Samir M. Perlaza , H. Vincent Poor , Mikael Skoglund

We study finite-blocklength bounds for noisy permutation channels whose reachable output polytope may be lower-dimensional than the output simplex. Existing Gaussian achievability analyses focus on strictly positive full-rank square DMC…

Information Theory · Computer Science 2026-05-26 Lugaoze Feng , Guocheng Lv , Xunan Li. , Ye Jin

The coding theorem for the entanglement-assisted communication via infinite-dimensional quantum channel with linear constraint is extended to a natural degree of generality. Relations between the entanglement-assisted classical capacity and…

Mathematical Physics · Physics 2013-05-29 A. S. Holevo , M. E. Shirokov

This paper investigates the asymptotic expansion for the maximum rate of fixed-length codes over a parallel Gaussian channel with feedback under the following setting: A peak power constraint is imposed on every transmitted codeword, and…

Information Theory · Computer Science 2017-07-11 Silas L. Fong , Vincent Y. F. Tan

We find a strong-converse bound on the private capacity of a quantum channel assisted by unlimited two-way classical communication. The bound is based on the max-relative entropy of entanglement and its proof uses a new inequality for the…

Quantum Physics · Physics 2017-07-04 Matthias Christandl , Alexander Müller-Hermes