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The quantum analog of the classical erasure channel provides a simple example of a channel whose asymptotic capacity for faithful transmission of intact quantum states, with and without the assistance of a two-way classical side channel,…

量子物理 · 物理学 2008-11-26 Charles H. Bennett , David P. DiVincenzo , John A. Smolin

We study the problem of transmission of information over classical and classical-quantum channels in the one-shot regime where the underlying codes are constrained to be group codes. In the achievability part, we introduce a new input…

信息论 · 计算机科学 2024-06-21 James Chin-Jen Pang , Sandeep Pradhan , Hessam Mahdavifar

We construct new polar coding schemes for the transmission of quantum or private classical information over arbitrary quantum channels. In the former case, our coding scheme achieves the symmetric coherent information and in the latter the…

量子物理 · 物理学 2014-07-29 Joseph M. Renes , Mark M. Wilde

Classical, i.e. non-quantum, communications include configurations with multiple-input multiple-output (MIMO) channels. Some associated signal processing tasks consider these channels in a symmetric way, i.e. by assigning the same role to…

量子物理 · 物理学 2022-10-03 Yannick Deville , Alain Deville , Ali Mansour , Razvan Scripcaru , Cornel Ioana

We study message identification over a q-ary uniform permutation channel, where the transmitted vector is permuted by a permutation chosen uniformly at random. For discrete memoryless channels(DMCs), the number of identifiable messages…

信息论 · 计算机科学 2024-09-23 Abhishek Sarkar , Bikash Kumar Dey

Estimating the information transmission capability of a quantum channel remains one of the fundamental problems in quantum information processing. In contrast to classical channels, the information-carrying capability of quantum channels is…

量子物理 · 物理学 2024-07-26 Aditya Nema , Ananda G. Maity , Sergii Strelchuk , David Elkouss

Recently it was shown that the main distinguishing features of quantum mechanics (QM) can be reproduced by a model based on classical random fields, so called prequantum classical statistical field theory (PCSFT). This model provides a…

量子物理 · 物理学 2012-10-17 Andrei Khrennikov , Masanori Ohya , Naboru Watanabe

Shared entanglement is a resource available to parties communicating over a quantum channel, much akin to public coins in classical communication protocols. Whereas shared randomness does not help in the transmission of information, or…

量子物理 · 物理学 2018-03-22 Ashwin Nayak , Julia Salzman

The unavoidable presence of noise is thought to be one of the major problems to solve in order to pave the way for implementing quantum information technologies in realistic physical platforms. However, here we show a clear example in which…

量子物理 · 物理学 2010-11-03 Filippo Caruso , Susana F. Huelga , Martin B. Plenio

We analyse families of codes for classical data transmission over quantum channels that have both a vanishing probability of error and a code rate approaching capacity as the code length increases. To characterise the fundamental tradeoff…

量子物理 · 物理学 2017-08-23 Christopher T. Chubb , Vincent Y. F. Tan , Marco Tomamichel

We propose constructive approaches for the optimization of binary classical communication over a general noisy qubit quantum channel, for both the error probability and the classical capacity functionals. After showing that the optimal…

量子物理 · 物理学 2014-01-09 Nicola Dalla Pozza , Nicola Laurenti , Francesco Ticozzi

Motivated by deterministic identification via classical channels, where the encoder is not allowed to use randomization, we revisit the problem of identification via quantum channels but now with the additional restriction that the message…

量子物理 · 物理学 2024-10-01 Pau Colomer , Christian Deppe , Holger Boche , Andreas Winter

Anonymity is a fundamental cryptographic primitive that hides the identities of both senders and receivers during message transmission over a network. Classical protocols cannot provide information-theoretic security for such task, and…

量子物理 · 物理学 2025-12-25 Srijani Das , Manasi Patra , Tuhin Paul , Anish Majumdar , Ramij Rahaman

We investigate the classical communication over quantum channels when assisted by no-signaling (NS) and positive-partial-transpose-preserving (PPT) codes, for which both the optimal success probability of a given transmission rate and the…

量子物理 · 物理学 2018-07-16 Xin Wang , Wei Xie , Runyao Duan

Differential privacy has been an exceptionally successful concept when it comes to providing provable security guarantees for classical computations. More recently, the concept was generalized to quantum computations. While classical…

量子物理 · 物理学 2023-04-07 Christoph Hirche , Cambyse Rouzé , Daniel Stilck França

This paper considers the problem of efficiently transmitting quantum states through a network. It has been known for some time that without additional assumptions it is impossible to achieve this task perfectly in general -- indeed, it is…

量子物理 · 物理学 2016-05-30 Hirotada Kobayashi , François Le Gall , Harumichi Nishimura , Martin Roetteler

The sending station being the classical device can be eavesdropped by classical means. Dense coding and quantum nature of wave function give the additional resource to raise the safety of the quantum channel as a whole.

量子物理 · 物理学 2007-05-23 A. Ya. Kazakov

Transmitting data reliably over noisy communication channels is one of the most important applications of information theory, and well understood when the channel is accurately modelled by classical physics. However, when quantum effects…

We study entanglement-assisted quantum and classical communication over a single use of a quantum channel, which itself can correspond to a finite number of uses of a channel with arbitrarily correlated noise. We obtain characterizations of…

量子物理 · 物理学 2013-06-20 Nilanjana Datta , Min-Hsiu Hsieh

We investigate how a classical private key can be used by two players, connected by an insecure one-way quantum channel, to perform private communication of quantum information. In particular we show that in order to transmit n qubits…

量子物理 · 物理学 2007-05-23 Michele Mosca , Alain Tapp , Ronald de Wolf