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The aim of this work is to study the zero-error capacity of pure-state classical-quantum channels in the setting of list decoding. We provide an achievability bound for list-size two and a converse bound holding for every fixed list size.…

Quantum Physics · Physics 2026-04-17 Marco Dalai , Filippo Girardi , Ludovico Lami

We study the effects of quantum entanglement on the performance of two classical zero-error communication tasks among multiple parties. Both tasks are generalizations of the two-party zero-error channel-coding problem, where a sender and a…

Quantum Physics · Physics 2015-01-21 Teresa Piovesan , Giannicola Scarpa , Christian Schaffner

Quantum computers are on the brink of surpassing the capabilities of even the most powerful classical computers. This naturally raises the question of how one can trust the results of a quantum computer when they cannot be compared to…

We look into the task of differentiating between any two quantum channels and reconstructing them from the obtained measurement statistics with possibly limited information about the experimental set-up. We employ the communication matrix…

Quantum Physics · Physics 2025-11-19 Samgeeth Puliyil , Leevi Leppäjärvi , Mário Ziman

We present two approaches for transmitting classical information over quantum broadcast channels. The first technique is a quantum generalization of the superposition coding scheme for the classical broadcast channel. We use a quantum…

Quantum Physics · Physics 2015-11-12 Ivan Savov , Mark M. Wilde

We discuss concepts of message identification in the sense of Ahlswede and Dueck via general quantum channels, extending investigations for classical channels, initial work for classical-quantum (cq) channels and "quantum fingerprinting".…

Quantum Physics · Physics 2016-09-08 Andreas Winter

We establish a universal complementarity relation between the capacity of classical information transmission by employing a multiparty quantum state as a multiport quantum channel, and the genuine multipartite entanglement of the quantum…

Quantum Physics · Physics 2013-10-30 R. Prabhu , Aditi Sen De , Ujjwal Sen

In this paper we consider the classical capacity problem for Gaussian measurement channels without imposing any kind of threshold condition. We prove Gaussianity of the average state of the optimal ensemble in general and discuss the…

Quantum Physics · Physics 2022-04-04 A. S. Holevo

Quantum data access and quantum processing can make certain classically intractable learning tasks feasible. However, quantum capabilities will only be available to a select few in the near future. Thus, reliable schemes that allow…

Quantum Physics · Physics 2024-02-07 Matthias C. Caro , Marcel Hinsche , Marios Ioannou , Alexander Nietner , Ryan Sweke

The class MA consists of languages that can be efficiently verified by classical probabilistic verifiers using a single classical certificate, and the class QMA consists of languages that can be efficiently verified by quantum verifiers…

Quantum Physics · Physics 2007-05-23 Hirotada Kobayashi , Keiji Matsumoto , Tomoyuki Yamakami

We study the concepts of compatibility and separability and their implications for quantum and classical systems. These concepts are illustrated on a macroscopic model for the singlet state of a quantum system of two entangled spin 1/2 with…

Quantum Physics · Physics 2012-03-28 Diederik Aerts , Christian de Ronde , Bart D'Hooghe

The discrete memoryless interference channel is modelled as a conditional probability distribution with two outputs depending on two inputs and has widespread applications in practical communication scenarios. In this paper, we introduce…

Quantum Physics · Physics 2015-03-19 Ivan Savov , Omar Fawzi , Mark M. Wilde , Pranab Sen , Patrick Hayden

In this letter, we prove that the classical capacity of quantum channel for $M$ symmetric states is achieved by an uniform distribution on a priori probabilities. We also investigate non-symmetric cases such as a ternary amplitude shift…

Quantum Physics · Physics 2009-10-31 Kentaro Kato , Masao Osaki , Osamu Hirota

In this paper we analyze the capacity of a general model for arbitrarily varying classical-quantum channels (AVCQCs) when the sender and the receiver use correlation as a resource. In this general model, a jammer has side information about…

Information Theory · Computer Science 2020-06-11 Holger Boche , Minglai Cai , Ning Cai

An experimental success criterion for continuous-variable quantum teleportation and memories is to surpass a limit of the average fidelity achieved by the classical measure-and-prepare schemes with respect to a Gaussian distributed set of…

Quantum Physics · Physics 2011-04-25 Ryo Namiki

Continuous-variable quantum information, encoded into infinite-dimensional quantum systems, is a promising platform for the realization of many quantum information protocols, including quantum computation, quantum metrology, quantum…

Quantum Physics · Physics 2021-06-17 Ya-Dong Wu , Ge Bai , Giulio Chiribella , Nana Liu

The state of a quantum system, consisting of two distinct subsystems, is called separable if it can be prepared by two distant experimenters who receive instructions from a common source, via classical communication channels. A necessary…

Quantum Physics · Physics 2009-10-30 Asher Peres

The more than thirty years old issue of the (classical) information capacity of quantum communication channels was dramatically clarified during the last years, when a number of direct quantum coding theorems was discovered. The present…

Quantum Physics · Physics 2017-08-17 Alexander S. Holevo

The quantum capacity of a memoryless channel is often used as a single figure of merit to characterize its ability to transmit quantum information coherently. The capacity determines the maximal rate at which we can code reliably over…

Quantum Physics · Physics 2016-05-10 Marco Tomamichel , Mario Berta , Joseph M. Renes

A secure quantum identification system combining a classical identification procedure and quantum key distribution is proposed. Each identification sequence is always used just once and new sequences are ``refuelled'' from a shared provably…

Quantum Physics · Physics 2009-10-31 Miloslav Dusek , Ondrej Haderka , Martin Hendrych , Robert Myska
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