English
Related papers

Related papers: Quantum Channels with Memory

200 papers

Quantum information processing and computing tasks can be understood as quantum networks, comprising quantum states and channels and possible physical transformations on them. It is hence pertinent to estimate the change in informational…

Quantum Physics · Physics 2026-03-17 Sohail , Vivek Pandey , Uttam Singh , Siddhartha Das

We study an analog of the well-known Gel'fand Pinsker Channel which uses quantum states for the transmission of the data. We consider the case where both the sender's inputs to the channel and the channel states are to be taken from a…

Quantum Physics · Physics 2016-05-04 Holger Boche , Ning Cai , Janis Nötzel

Simulating quantum physical processes has been one of the major motivations for quantum information science. Quantum channels, which are completely positive and trace preserving processes, are the standard mathematical language to describe…

Quantum Physics · Physics 2024-02-01 Hang Li , Kai Wang , Shijie Wei , Fan Yang , Xinyu Chen , Barry C. Sanders , Dong-Sheng Wang , Gui-Lu Long

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…

Quantum Physics · Physics 2009-10-30 Howard Barnum , M. A. Nielsen , Benjamin Schumacher

The coding theorem for the entanglement-assisted communication via infinite-dimensional quantum channel with linear constraint is extended to a natural degree of generality. Relations between the entanglement-assisted classical capacity and…

Mathematical Physics · Physics 2013-05-29 A. S. Holevo , M. E. Shirokov

We analyze different aspects of multiparty communication over quantum memoryless channels and generalize some of key results known from bipartite channels to that of multiparty scenario. In particular, we introduce multiparty versions of…

Quantum Physics · Physics 2009-11-13 Maciej Demianowicz , Pawel Horodecki

Quantum language models have shown competitive performance on sequential tasks, yet whether trained quantum circuits exploit genuinely quantum resources -- or merely embed classical computation in quantum hardware -- remains unknown. Prior…

Quantum Physics · Physics 2026-03-30 Nathan Roll

We present a framework for quantifying information flow within general quantum processes. For this purpose, we introduce the signaling power of quantum channels and discuss its relevant operational properties. This function supports…

Quantum Physics · Physics 2025-08-08 Leonardo S. V. Santos , Zhen-Peng Xu , Jyrki Piilo , Otfried Gühne

The entanglement-assisted classical capacity of a quantum channel is known to provide the formal quantum generalization of Shannon's classical channel capacity theorem, in the sense that it admits a single-letter characterization in terms…

Quantum Physics · Physics 2016-05-31 Nilanjana Datta , Marco Tomamichel , Mark M. Wilde

For a continuous-input-continuous-output arbitrarily distributed quantum channel carrying classical information, the channel capacity can be computed in terms of the distribution of the channel envelope, received signal strength over a…

Information Theory · Computer Science 2022-06-09 Mouli Chakraborty , Harun Siljak , Indrakshi Dey , Nicola Marchetti

This paper was presented in poster form at and in the proceedings of the QCMC 2008. It is a summary of a fuller paper to appear separately. The classical product state capacity of a noisy quantum channel with memory is investigated. A…

Quantum Physics · Physics 2012-08-16 I. Akhalwaya , J. Wouters , M. Fannes , F. Petruccione

Most communication channels are subjected to noise. One of the goals of Information Theory is to add redundancy in the transmission of information so that the information is transmitted reliably and the amount of information transmitted…

Information Theory · Computer Science 2018-03-21 David Elkouss , David Pérez-García

We study a dephasing channel with memory, modelled by a Markov chain. We show that even weak memory effects have a detrimental impact on the performance of quantum error correcting schemes designed for uncorrelated errors. We also discuss…

Quantum Physics · Physics 2008-08-26 Antonio D'Arrigo , Elena De Leo , Giuliano Benenti , Giuseppe Falci

The study of mutual entropy (information) and capacity in classica l system was extensively done after Shannon by several authors like Kolmogor ov and Gelfand. In quantum systems, there have been several definitions of t he mutual entropy…

Quantum Physics · Physics 2007-05-23 Masanori Ohya

We study a dephasing channel with memory, described by a Hamiltonian model in which the system-environment interaction is described by a stochastic process. We propose a useful way to describe the channel uses correlations. Moreover, we…

Quantum Physics · Physics 2009-09-02 A. D'Arrigo , G. Benenti , G. Falci

Quantum amplifier channels are at the core of several physical processes. Not only do they model the optical process of spontaneous parametric down-conversion, but the transformation corresponding to an amplifier channel also describes the…

Quantum Physics · Physics 2017-02-02 Haoyu Qi , Mark M. Wilde

It is well known that quantum theory forbids the exact copying of an unknown quantum state. Therefore in broadcasting of classical information by a quantum channel an additional contribution to the error in the decoding is expected. We…

Quantum Physics · Physics 2007-05-23 A. E. Allahverdyan , D. B. Saakian

We consider ergodic causal classical-quantum channels (cq-channels) which additionally have a decaying input memory. In the first part we develop some structural properties of ergodic cq-channels and provide equivalent conditions for…

Quantum Physics · Physics 2016-11-18 Igor Bjelakovic , Holger Boche

A chain of interacting spin behaves like a quantum mediator (quantum link) which allows two distant parties that control the ends of the chain to exchange quantum messages. We show that over repeated uses without resetting the study of a…

Quantum Physics · Physics 2009-11-13 Vittorio Giovannetti , Daniel Burgarth , Stefano Mancini

The bosonic quantum channels have recently attracted a growing interest, motivated by the hope that they open a tractable approach to the generally hard problem of evaluating quantum channel capacities. These studies, however, have always…

Quantum Physics · Physics 2007-05-23 Nicolas J. Cerf , Julien Clavareau , Chiara Macchiavello , Jeremie Roland