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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

We study message identification over the noisy permutation channel. For discrete memoryless channels (DMCs), the number of identifiable messages grows doubly exponentially, and the maximum second-order exponent is same as the Shannon…

信息论 · 计算机科学 2025-06-18 Abhishek Sarkar , Bikash Kumar Dey

Given one or more uses of a classical channel, only a certain number of messages can be transmitted with zero probability of error. The study of this number and its asymptotic behaviour constitutes the field of classical zero-error…

量子物理 · 物理学 2010-11-01 Toby S. Cubitt , Debbie Leung , William Matthews , Andreas Winter

Due to turbulence and tracking errors, free-space optical channels involving mobile transceivers are characterized by a signal's partial loss or complete erasure. This work presents an error correction protocol capable of protecting a…

量子物理 · 物理学 2023-07-12 E. Villaseñor , M. S. Winnel , T. C. Ralph , R. Aguinaldo , J. Green , R. Malaney

In this work we improve the quantum communication rates of various quantum channels of interest using permutation-invariant quantum codes. We focus in particular on parametrized families of quantum channels and aim to improve bounds on…

量子物理 · 物理学 2025-08-14 Sujeet Bhalerao , Felix Leditzky

Completely depolarising channels are often regarded as the prototype of physical processes that are useless for communication: any message that passes through them along a well-defined trajectory is completely erased. When two such channels…

量子物理 · 物理学 2021-11-10 Giulio Chiribella , Matt Wilson , H. F. Chau

Encoding schemes and error-correcting codes are widely used in information technology to improve the reliability of data transmission over real-world communication channels. Quantum information protocols can further enhance the performance…

Building large-scale quantum communication networks has its unique challenges. Here, we demonstrate that a network-wide synergistic usage of quantum memories distributed in a quantum communication network offers a fundamental advantage. We…

量子物理 · 物理学 2025-12-17 Xiangyi Meng , Nicolò Lo Piparo , Kae Nemoto , István A. Kovács

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…

量子物理 · 物理学 2015-01-21 Teresa Piovesan , Giannicola Scarpa , Christian Schaffner

This work is motivated by a quite general question: Under which circumstances are the capacities of information transmission systems continuous? The research is explicitly carried out on arbitrarily varying quantum channels (AVQCs). We give…

量子物理 · 物理学 2015-06-18 H. Boche , J. Noetzel

We give a capacity formula for the classical communication over a noisy quantum channel, when local operations and global permutations allowed in the encoding and bipartite states preshared between the sender and the receiver. The two…

量子物理 · 物理学 2020-01-10 Kun Wang , Masahito Hayashi

The quantum capacity captures the value of a quantum channel for transmitting quantum information, establishing the fundamental limits on quantum communication. In spite of its central role in quantum information theory, the quantum…

We study various super-activation effects in the following zero-error communication scenario: One sender wants to send classical or quantum information through a noisy quantum channel to one receiver with zero probability of error. First we…

量子物理 · 物理学 2009-06-16 Runyao Duan

We propose a class of quantum no-key protocols for private communication of classical message based on quantum computing of random Boolean permutations, and demonstrate that they are information-theoretic secure. These protocols are…

量子物理 · 物理学 2013-06-17 Li Yang

We initiate the study of zero-error communication via quantum channels when the receiver and sender have at their disposal a noiseless feedback channel of unlimited quantum capacity, generalizing Shannon's zero-error communication theory…

量子物理 · 物理学 2016-08-18 Runyao Duan , Simone Severini , Andreas Winter

Designing encoding and decoding circuits to reliably send messages over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmission rates achievable with asymptotically vanishing error…

量子物理 · 物理学 2024-11-07 Matthias Christandl , Alexander Müller-Hermes

We introduce a new quantum communication protocol for the transmission of quantum information under collective noise. Our protocol utilizes a decoherence-free subspace in such a way that an optimal asymptotic transmission rate is achieved,…

量子物理 · 物理学 2013-01-18 Michael Skotiniotis , Wolfgang Dür , Barbara Kraus

Channel capacities quantify the optimal rates of sending information reliably over noisy channels. Usually, the study of capacities assumes that the circuits which sender and receiver use for encoding and decoding consist of perfectly…

量子物理 · 物理学 2024-04-15 Paula Belzig , Matthias Christandl , Alexander Müller-Hermes

The zero-error capacity of a noisy classical channel quantifies its ability to transmit information with absolute certainty, i.e., without any error. Unlike Shannon's standard channel capacity, which remains unaffected by pre-shared…

We study the problem of decoding classical information encoded on quantum states at the output of a quantum channel, with particular focus on increasing the communication rates towards the maximum allowed by Quantum Mechanics. After a brief…

量子物理 · 物理学 2017-10-25 Matteo Rosati
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