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We explore complementarity between output and environment of a quantum channel (or, more generally, CP map), making an observation that the output purity characteristics for complementary CP maps coincide. Hence, validity of the…

量子物理 · 物理学 2007-07-05 A. S. Holevo

We study classical capacity regions of quantum Gaussian multiple access channels (MAC). In classical variants of such channels, whilst some capacity superadditivity-type effects such as the so called {\it water filling effect} may be…

量子物理 · 物理学 2013-05-29 L. Czekaj , J. K. Korbicz , R. W. Chhajlany , P. Horodecki

Machine learning techniques are increasingly being used in fundamental research to solve various challenging problems. Here we explore one such technique to address an important problem in quantum communication scenario. While transferring…

量子物理 · 物理学 2022-09-27 Govind Lal Sidhardh , Mir Alimuddin , Manik Banik

A unified approach to prove the converses for the quantum channel capacity theorems is presented. These converses include the strong converse theorems for classical or quantum information transfer with error exponents and novel explicit…

量子物理 · 物理学 2013-03-14 Naresh Sharma , Naqueeb Ahmad Warsi

This article provides an elementary introduction to Gaussian channels and their capacities. We review results on the classical, quantum, and entanglement assisted capacities and discuss related entropic quantities as well as additivity…

量子物理 · 物理学 2009-05-15 J. Eisert , M. M. Wolf

The information capacities and ``distillability'' of a quantum channel are studied in the presence of auxiliary resources. These include prior entanglement shared between the sender and receiver and free classical bits of forward and…

量子物理 · 物理学 2009-11-10 Vittorio Giovannetti

This was significantly extended from the previous article quant-ph/9705043,especially in an information theoretic aspect, by adding new results.

量子物理 · 物理学 2009-10-31 Masahide Sasaki , Kentaro Kato , Masayuki Izutsu , Osamu Hirota

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…

The maximum rate at which classical information can be reliably transmitted per use of a quantum channel strictly increases in general with $N$, the number of channel outputs that are detected jointly by the quantum joint-detection receiver…

信息论 · 计算机科学 2017-07-25 Hye Won Chung , Saikat Guha , Lizhong Zheng

We determine the capacity of compound classical-quantum channels. As a consequence we obtain the capacity formula for the averaged classical-quantum channels. The capacity result for compound channels demonstrates, as in the classical…

量子物理 · 物理学 2009-02-16 Igor Bjelakovic , Holger Boche

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

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…

量子物理 · 物理学 2017-08-17 Alexander S. Holevo

We introduce the informational power of a quantum measurement as the maximum amount of classical information that the measurement can extract from any ensemble of quantum states. We prove the additivity by showing that the informational…

量子物理 · 物理学 2015-05-27 Michele Dall'Arno , Giacomo Mauro D'Ariano , Massimiliano F. Sacchi

Classical communication capacity of a channel can be enhanced either through a device called a 'quantum switch' or by putting the channel in a quantum superposition. The gains in the two cases, although different, have their origin in the…

量子物理 · 物理学 2020-01-27 Nicolas Loizeau , Alexei Grinbaum

A quantum communication channel can be put to many uses: it can transmit classical information, private classical information, or quantum information. It can be used alone, with shared entanglement, or together with other channels. For each…

信息论 · 计算机科学 2010-07-20 Graeme Smith

One of the major achievements of the recently emerged quantum information theory is the introduction and thorough investigation of the notion of quantum channel which is a basic building block of any data-transmitting or data-processing…

量子物理 · 物理学 2012-03-23 A. S. Holevo , V. Giovannetti

We analyze the quantum binary adder channel, i.e. the quantum generalization of the classical, and well-studied, binary adder channel: in this model qubits rather than classical bits are transmitted. This of course is as special case of the…

量子物理 · 物理学 2007-05-23 Gleb V. Klimovitch , Andreas Winter

When can noiseless quantum information be sent across noisy quantum devices? And at what maximum rate? These questions lie at the heart of quantum technology, but remain unanswered because of non-additivity -- a fundamental synergy which…

量子物理 · 物理学 2021-10-04 Vikesh Siddhu

This note is intended to foster a discussion about the extent to which typical problems arising in quantum information theory are algorithmically decidable (in principle rather than in practice). Various problems in the context of…

量子物理 · 物理学 2011-11-24 Michael M. Wolf , Toby S. Cubitt , David Perez-Garcia

In this paper we address the issue of universal or robust communication over quantum channels. Specifically, we consider memoryless communication scenario with channel uncertainty which is an analog of compound channel in classical…

量子物理 · 物理学 2009-11-13 I. Bjelakovic , H. Boche , J. Noetzel