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We study the performance of a partially correlated amplitude damping channel acting on two qubits. We derive lower bounds for the single-shot classical capacity by studying two kinds of quantum ensembles, one which allows to maximize the…

Quantum Physics · Physics 2016-01-13 A. D'Arrigo , G. Benenti , G. Falci , C. Macchiavello

A longstanding open problem in quantum information theory is to find the classical capacity of an optical communication link, modeled as a Gaussian bosonic channel. It has been conjectured that this capacity is achieved by a random coding…

Quantum channels underlie the dynamics of quantum systems, but in many practical settings it is the channels themselves that require processing. We establish universal limitations on the processing of both quantum states and channels,…

Quantum Physics · Physics 2021-07-21 Bartosz Regula , Ryuji Takagi

While capacities of discrete memoryless channels are well studied, it is still not possible to obtain a closed-form expression for the capacity of an arbitrary discrete memoryless channel. This paper describes an elementary technique based…

Information Theory · Computer Science 2020-01-08 Thuan Nguyen , Thinh Nguyen

This paper investigates the design of the capacity-achieving input distribution for the discrete-time Poisson channel (DTPC) under dark current effects with low-precision analog-to-digital converters (ADCs). This study introduces an…

Signal Processing · Electrical Eng. & Systems 2025-09-23 Qianqian Li , Lintao Li , Lixiang Liu , Lei Yang , Caihong Gong , Hua Li , Shiya Hao , Xiaoming Dai

Finding a computable expression for the feedback capacity of channels with colored Gaussian, additive noise is a long standing open problem. In this paper, we solve this problem in the scenario where the channel has multiple inputs and…

Information Theory · Computer Science 2023-01-20 Oron Sabag , Victoria Kostina , Babak Hassibi

A class of cognitive interference channel with state is investigated, in which two transmitters (transmitters 1 and 2) communicate with two receivers (receivers 1 and 2) over an interference channel. The two transmitters jointly transmit a…

Information Theory · Computer Science 2012-07-10 Ruchen Duan Yingbin Liang

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

In some applications, the variance of additive measurement noise depends on the signal that we aim to measure. For instance, additive Gaussian signal-dependent noise (AGSDN) channel models are used in molecular and optical communication.…

Information Theory · Computer Science 2017-06-05 Hamid Ghourchian , Gholamali Aminian , Amin Gohari , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

Channel capacity bounds are derived for a point-to-point indoor visible light communications (VLC) system with signal-dependent Gaussian noise. Considering both illumination and communication, the non-negative input of VLC is constrained by…

Information Theory · Computer Science 2020-11-03 Jin-Yuan Wang , Xian-Tao Fu , Rong-Rong Lu , Jun-Bo Wang , Min Lin , Julian Cheng

This work considers a discrete-time Poisson noise channel with an input amplitude constraint $\mathsf{A}$ and a dark current parameter $\lambda$. It is known that the capacity-achieving distribution for this channel is discrete with…

Information Theory · Computer Science 2024-01-11 Luca Barletta , Alex Dytso , Shlomo Shamai

A class of diamond networks are studied where the broadcast component is modelled by two independent bit-pipes. New upper and low bounds are derived on the capacity which improve previous bounds. The upper bound is in the form of a max-min…

Information Theory · Computer Science 2014-01-24 Shirin Saeedi Bidokhti , Gerhard Kramer

This paper studies the capacity of the peak-and-average-power-limited Gaussian channel when its output is quantized using a dithered, infinite-level, uniform quantizer of step size $\Delta$. It is shown that the capacity of this channel…

Information Theory · Computer Science 2014-04-28 Tobias Koch

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…

Quantum Physics · Physics 2009-02-20 Graeme Smith , Jon Yard

This paper explores the two-user Gaussian interference channel through the lens of a natural deterministic channel model. The main result is that the deterministic channel uniformly approximates the Gaussian channel, the capacity regions…

Information Theory · Computer Science 2008-07-22 Guy Bresler , David Tse

The transmission of classical information over a classical channel gave rise to the classical capacity theorem with the optimal rate in terms of the classical mutual information. Despite classical information being a subset of quantum…

Quantum Physics · Physics 2023-09-26 Zahra Baghali Khanian

We consider the capacity of an energy harvesting communication channel with a finite-sized battery. As an abstraction of this problem, we consider a system where energy arrives at the encoder in multiples of a fixed quantity, and the…

Information Theory · Computer Science 2013-05-20 Kaya Tutuncuoglu , Omur Ozel , Aylin Yener , Sennur Ulukus

We determine the capacity of compound classical-quantum channels. As a consequence we obtain the capacity formula for the averaged classical-quantum channels. The capacity result for compound channels demonstrates, as in the classical…

Quantum Physics · Physics 2009-02-16 Igor Bjelakovic , Holger Boche

Quantum capacities are fundamental quantities that are notoriously hard to compute and can exhibit surprising properties such as superadditivity. Thus, a vast amount of literature is devoted to finding tight and computable bounds on these…

Quantum Physics · Physics 2023-03-02 Christoph Hirche , Felix Leditzky

The quantum capacity of thermal noise channel is studied. The extremal input state is obtained at the postulation that the coherent information is convex or concave at its vicinity. When the input energy tends to infinitive, it is verified…

Quantum Physics · Physics 2007-05-23 Xiao-yu Chen
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