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As our main result we show that, in order to achieve the randomness assisted message - and entanglement transmission capacities of a finite arbitrarily varying quantum channel it is not necessary that sender and receiver share…

Quantum Physics · Physics 2015-06-12 Holger Boche , Janis Noetzel

The capability of a given channel to communicate information is, a priori, distinct from its capability to distribute shared randomness. In this article we define randomness distribution capacities of quantum channels assisted by forward,…

Quantum Physics · Physics 2018-05-22 Raul Garcia-Patron , William Matthews , Andreas Winter

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

In "Reliable Communication in the Absence of a Common Clock" (Yeung et al., 2009), the authors introduce general run-length sets, which form a class of constrained systems that permit run-lengths from a countably infinite set. For a…

Information Theory · Computer Science 2010-01-14 Georg Böcherer , Rudolf Mathar , Valdemar Cardoso da Rocha Junior , Cecilio Pimentel

Consider communication over a channel whose probabilistic model is completely unknown vector-wise and is not assumed to be stationary. Communication over such channels is challenging because knowing the past does not indicate anything about…

Information Theory · Computer Science 2013-03-21 Yuval Lomnitz , Meir Feder

The capacity of a classical-quantum channel (or in other words the classical capacity of a quantum channel) is considered in the most general setting, where no structural assumptions such as the stationary memoryless property are made on a…

Quantum Physics · Physics 2016-11-17 Masahito Hayashi , Hiroshi Nagaoka

In this paper, we derive outer bounds on the capacity region of two classes of the general two-user discrete memoryless broadcast channels with side-information at the transmitter. The first class comprises the classical broadcast channel…

Information Theory · Computer Science 2011-10-11 K. G. Nagananda , Chandra R Murthy , Shalinee Kishore

We derive a regularized formula for the common randomness assisted entanglement transmission capacity of finite arbitrarily varying quantum channels (AVQC's). For finite AVQC's with positive capacity for classical message transmission we…

Quantum Physics · Physics 2015-03-17 R. Ahlswede , I. Bjelakovic , H. Boche , J. Noetzel

Common randomness (CR), as a resource, is not commonly exploited in existing practical communication systems. In the CR generation framework, both the sender and receiver aim to generate a common random variable observable to both, ideally…

Signal Processing · Electrical Eng. & Systems 2024-06-27 Rami Ezzine , Wafa Labidi , Christian Deppe , Holger Boche

We establish the capacity of a class of communication channels introduced in [1]. The $n$-letter input from a finite alphabet is passed through a discrete memoryless channel $P_{Z|X}$ and then the output $n$-letter sequence is uniformly…

Information Theory · Computer Science 2023-10-30 Jennifer Tang , Yury Polyanskiy

We define the common randomness assisted capacity of an arbitrarily varying channel (AVWC) when the Eavesdropper is kept ignorant about the common randomness. We prove a multi-letter capacity formula for this model. We prove that, if enough…

Information Theory · Computer Science 2016-04-04 Janis Nötzel , Moritz Wiese , Holger Boche

A set of m terminals, observing correlated signals, communicate interactively to generate common randomness for a given subset of them. Knowing only the communication, how many direct queries of the value of the common randomness will…

Information Theory · Computer Science 2013-05-08 Himanshu Tyagi , Prakash Narayan

We analyze the quantum capacity of a unital quantum channel, using ideas from the proof of near-optimality of Petz recovery map [Barnum and Knill 2000] and give an upper bound on the quantum capacity in terms of regularized output $2$-norm…

Quantum Physics · Physics 2018-03-07 Anurag Anshu

We study common randomness where two parties have access to i.i.d. samples from a known random source, and wish to generate a shared random key using limited (or no) communication with the largest possible probability of agreement. This…

Computational Complexity · Computer Science 2017-07-26 Badih Ghazi , T. S. Jayram

In this paper, we study capacity scaling laws of the deterministic dissemination (DD) in random wireless networks under the generalized physical model (GphyM). This is truly not a new topic. Our motivation to readdress this issue is…

Information Theory · Computer Science 2015-04-20 Cheng Wang , Jieren Zhou , Tianci Liu , Lu Shao , Huiya Yan , Xiang-Yang Li , Changjun Jiang

The performance of the generalized belief propagation algorithm for computing the noiseless capacity and mutual information rates of finite-size two-dimensional and three-dimensional run-length limited constraints is investigated. For each…

Information Theory · Computer Science 2012-05-29 Giovanni Sabato , Mehdi Molkaraie

We derive universal codes for transmission of broadcast and confidential messages over classical-quantum-quantum and fully quantum channels. These codes are robust to channel uncertainties considered in the compound model. To construct…

Quantum Physics · Physics 2020-05-20 Holger Boche , Gisbert Janßen , Sajad Saeedinaeeni

The present paper is devoted to investigation of the classical capacity of infinite-dimensional quantum measurement channels. A number of usable conditions are introduced that enable us to apply previously obtained general results to…

Quantum Physics · Physics 2020-08-31 A. S. Holevo , A. A. Kuznetsova

This paper provides new insight into the classical problem of determining both the capacity of the discrete-time channel with uniform output quantization and the capacity achieving input distribution. It builds on earlier work by Gallager…

Information Theory · Computer Science 2009-01-19 Yiyue Wu , Linda M. Davis , Robert Calderbank

This paper addresses the problem of generating a common random string with min-entropy k using an unlimited supply of noisy EPR pairs or quantum isotropic states, with minimal communication between Alice and Bob. The paper considers two…

Quantum Physics · Physics 2023-11-27 Yangjing Dong , Penghui Yao