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We study the binomial channel and the structure of its capacity-achieving input and output distributions. It is known that the capacity-achieving input distribution is discrete and supported on finitely many points. The best previously…

信息论 · 计算机科学 2026-05-13 Mohammadamin Baniasadi , Luca Barletta , Alex Dytso

A class of problems in quantum information theory, having an elementary formulation but still resisting solution, concerns the additivity properties of various quantities characterizing quantum channels, notably the "classical capacity",…

数学物理 · 物理学 2007-05-23 G. G. Amosov , A. S. Holevo , R. F. Werner

Information must take up space, must weigh, and its flux must be limited. Quantum limits on communication and information storage leading to these conclusions are here described. Quantum channel capacity theory is reviewed for both steady…

量子物理 · 物理学 2015-06-26 Jacob D. Bekenstein , Marcelo Schiffer

A universal programmable quantum processor uses program quantum states to apply an arbitrary quantum channel to an input state. We generalize the concept of a finite-dimensional programmable quantum processor to infinite dimension assuming…

量子物理 · 物理学 2021-07-15 Martina Gschwendtner , Andreas Winter

This work considers a Poisson noise channel with an amplitude constraint. It is well-known that the capacity-achieving input distribution for this channel is discrete with finitely many points. We sharpen this result by introducing upper…

信息论 · 计算机科学 2021-07-30 Alex Dytso , Luca Barletta , Shlomo Shamai

We study encodings that give the best known thresholds for the non-zero capacity of quantum channels, i.e., the upper bound for correctable noise, using an entropic approach to calculation of the threshold values. Our results show that…

量子物理 · 物理学 2009-02-22 Jesse Fern , K. Birgitta Whaley

We formulate the Gao-Jafferis-Wall traversable wormhole protocol as a quantum channel and compute its quantum channel capacity. We show that this capacity is governed by the time derivative of an out-of-time-ordered correlator, hence by…

高能物理 - 理论 · 物理学 2026-03-30 Jingru Lu , Zhenbin Yang , Jianming Zheng

This paper deals with the problem of computing the boundary of the capacity region for the memoryless two-user binary-input binary-output multiple-access channel ((2,2;2)-MAC), or equivalently, the computation of input probability…

信息论 · 计算机科学 2009-04-30 J. Bühler , G. Wunder

Quantum channel capacities play a central role in quantum Shannon theory, a formalism built upon rigorous coding theorems for noisy channels. Evaluating exact capacity values for general quantum channels remains intractable due to…

量子物理 · 物理学 2025-10-14 Zhen Wu , Si-Qi Zhou

We investigate the capacity of the $Q$-frequency $S$-user vector adder channel (channel with intensity information) introduced by Chang and Wolf. Both coordinated and uncoordinated types of transmission are considered. Asymptotic (under the…

信息论 · 计算机科学 2014-01-10 Alexey Frolov , Pavel Rybin , Victor Zyablov

The set of doubly-stochastic quantum channels and its subset of mixtures of unitaries are investigated. We provide a detailed analysis of their structure together with computable criteria for the separation of the two sets. When applied to…

量子物理 · 物理学 2014-07-30 Christian B. Mendl , Michael M. Wolf

The problem of mismatched decoding for discrete memoryless channels is addressed. A mismatched cognitive multiple-access channel is introduced, and an inner bound on its capacity region is derived using two alternative encoding methods:…

信息论 · 计算机科学 2013-05-03 Anelia Somekh-Baruch

The capacity of a quantum channel for transmission of classical information depends in principle on whether product states or entangled states are used at the input, and whether product or entangled measurements are used at the output. We…

量子物理 · 物理学 2015-06-26 C. King , M. B. Ruskai

The computational problem of distinguishing two quantum channels is central to quantum computing. It is a generalization of the well-known satisfiability problem from classical to quantum computation. This problem is shown to be…

量子物理 · 物理学 2009-09-24 Bill Rosgen

In this paper, Wielandt's inequality for classical channels is extended to quantum channels. That is, an upper bound to the number of times a channel must be applied, so that it maps any density operator to one with full rank, is found.…

量子物理 · 物理学 2011-06-02 M. Sanz , D. Perez-Garcia , M. M. Wolf , J. I. Cirac

In this article, we are proposing a closed-form solution for the capacity of the single quantum channel. The Gaussian distributed input has been considered for the analytical calculation of the capacity. In our previous couple of papers, we…

信息论 · 计算机科学 2023-02-17 Mouli Chakraborty , Harun Siljak , Indrakshi Dey , Nicola Marchetti

We study the four well-known capacities of a two-parameter family of qubit Pauli channels. These are the channels which are covariant under the SO(2) group and contain the depolarizing channel as a special case. We find exact expressions…

量子物理 · 物理学 2023-09-01 Abbas Poshtvan , Vahid Karimipour

In this paper, we investigate the quantization of the output of a binary input discrete memoryless channel that maximizing the mutual information between the input and the quantized output under an entropy-constrained of the quantized…

信息论 · 计算机科学 2020-01-08 Thuan Nguyen , Thinh Nguyen

A problem in quantum information theory that has received considerable attention in recent years is the question of multiplicativity of the so-called maximal output purity (MOP) of a quantum channel. This quantity is defined as the maximum…

量子物理 · 物理学 2009-11-13 Koenraad M. R. Audenaert

The primary objective of quantum Shannon theory is to evaluate the capacity of quantum channels. In spite of the existence of rigorous coding theorems that quantify the transmission of information through quantum channels, superadditivity…

量子物理 · 物理学 2024-01-17 Rajiuddin Sk , Prasanta K. Panigrahi
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