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We study the one-shot zero-error classical capacity of a quantum channel assisted by quantum no-signalling correlations, and the reverse problem of exact simulation of a prescribed channel by a noiseless classical one. Quantum no-signalling…

量子物理 · 物理学 2016-01-26 Runyao Duan , Andreas Winter

We consider compound as well as arbitrarily varying classical-quantum channel models. For classical-quantum compound channels, we give an elementary proof of the direct part of the coding theorem. A weak converse under average error…

量子物理 · 物理学 2016-08-14 Igor Bjelaković , Holger Boche , Gisbert Janßen , Janis Nötzel

We calculate the information capacities of a time-correlated amplitude-damping channel, provided the sender and receiver share prior entanglement. Our analytical results show that the noisy channel with zero capacity can transmit…

量子物理 · 物理学 2013-07-23 Nigum Arshed , A. H. Toor

In this work we study nonperturbatively the transmission of classical and quantum information in globally hyperbolic spacetimes, where the communication channel is between two qubit detectors interacting with a quantized massless scalar…

量子物理 · 物理学 2023-06-01 Erickson Tjoa , Kensuke Gallock-Yoshimura

We consider the problem of deterministically cloning quantum channels with respect to the best attainable rate and the highest quality, so-called optimal cloning. We demonstrate that cloning quantum states is, in-fact, equivalent to cloning…

In the theory of quantum communications, a deeper structure has been recently unveiled, showing that the capacity does not completely characterize the channel ability to transmit information due to phenomena -- namely, superadditivity,…

量子物理 · 物理学 2022-12-16 Seid Koudia , Angela Sara Cacciapuoti , Kyrylo Simonov , Marcello Caleffi

Reciprocal pairs of quantum channels are defined as completely positive transformations which admit a rigid, distance-preserving, yet not completely-positive transformation that allows to reproduce the outcome of one from the corresponding…

量子物理 · 物理学 2018-05-23 Matteo Rosati , Vittorio Giovannetti

Applications of the quantum switch on quantum channels have recently become a topic of intense discussion. In the present work, we show that some useless (for communication) channels may provide useful communication under the action of…

量子物理 · 物理学 2023-04-11 Arindam Mitra , Himanshu Badhani , Sibasish Ghosh

A recent method to certify the classical capacity of quantum communication channels is applied for general damping channels in finite dimension. The method compares the mutual information obtained by coding on the computational and a…

量子物理 · 物理学 2020-10-23 Chiara Macchiavello , Massimiliano F. Sacchi , Tito Sacchi

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

Basing on states and channels isomorphism we point out that semidefinite programming can be used as a quick test for nonzero one-way quantum channel capacity. This can be achieved by search of symmetric extensions of states isomorphic to a…

量子物理 · 物理学 2015-06-26 Pawel Horodecki , Marcin L. Nowakowski

We present a family of additive quantum error-correcting codes whose capacities exceeds that of quantum random coding (hashing) for very noisy channels. These codes provide non-zero capacity in a depolarizing channel for fidelity parameters…

量子物理 · 物理学 2009-10-30 David P. DiVincenzo , Peter W. Shor , John A. Smolin

We present a method to detect properties of quantum channels, assuming that some a priori information about the form of the channel is available. The method is based on a correspondence with entanglement detection methods for multipartite…

量子物理 · 物理学 2013-11-13 C. Macchiavello , M. Rossi

The quantization of particle trajectories gives rise to remarkable features such as the coherent superposition of quantum channels and the quantum switch, which offer significant advantages in the communication of both classical and quantum…

量子物理 · 物理学 2025-10-21 Arghyabindu Patra , Abdul Q Batin , Prasanta K. Panigrahi

Noisy quantum channels may be used in many information carrying applications. We show that different applications may result in different channel capacities. Upper bounds on several of these capacities are proved. These bounds are based on…

量子物理 · 物理学 2009-10-30 Howard Barnum , M. A. Nielsen , Benjamin Schumacher

We begin a systematic study of the problem of the zero--error capacity of noisy binary channels with memory and solve some of the non--trivial cases.

组合数学 · 数学 2016-02-22 Gérard Cohen , Emanuela Fachini , János Körner

Information capacity enhancement through the coherent control of channels has attracted much attention of late, with work exploring the effect of coherent control of channel causal orders, channel superpositions, and information encoding.…

Quantum capacity, as the ultimate transmission rate of quantum communication, is characterized by regularized coherent information. In this work, we reformulate approximations of the quantum capacity by operator space norms and give both…

量子物理 · 物理学 2019-11-06 Li Gao , Marius Junge , Nicholas LaRacuente

Quantum channels can describe all transformations allowed by quantum mechanics. We provide an explicit universal protocol to construct all possible quantum channels, using a single qubit ancilla with quantum non-demolition readout and…

We present an upper bound for the quantum channel capacity that is both additive and convex. Our bound can be interpreted as the capacity of a channel for high-fidelity quantum communication when assisted by a family of channels that have…

量子物理 · 物理学 2008-08-28 Graeme Smith , John A. Smolin , Andreas Winter