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The quantum capacity of a pure quantum channel and that of classical-quantum-classical channel are discussed in detail based on the fully quantum mechanical mutual entropy. It is proved that the quantum capacity generalizes the so-called…

量子物理 · 物理学 2007-05-23 Masanori Ohya , Igor V. Volovich

We consider quantum channels with two senders and one receiver. For an arbitrary such channel, we give multi-letter characterizations of two different two-dimensional capacity regions. The first region characterizes the rates at which it is…

信息论 · 计算机科学 2011-10-25 Jon Yard , Igor Devetak , Patrick Hayden

We study the power of quantum channels with little or no capacity for private communication. Because privacy is a necessary condition for quantum communication, one might expect that such channels would be of little use for transmitting…

量子物理 · 物理学 2009-02-20 Graeme Smith , John Smolin

Several information-theoretic studies on channels with output quantization have identified the capacity-achieving input distributions for different fading channels with 1-bit in-phase and quadrature (I/Q) output quantization. However, an…

信息论 · 计算机科学 2022-05-31 Neil Irwin Bernardo , Jingge Zhu , Jamie Evans

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

We consider the problem of compression of the quantum information carried by ensemble of mixed states. We prove that for arbitrary coding schemes the least number of qubits needed to convey the signal states asymptotically faithfully is…

量子物理 · 物理学 2009-10-30 Michal Horodecki

The transfer of an unknown quantum state, from a sender to a receiver, is one of the main requirements to perform quantum information processing tasks. In this respect, the state transfer of a single qubit by means of spin chains has been…

量子物理 · 物理学 2015-10-09 T. J. G. Apollaro , S. Lorenzo , A. Sindona , S. Paganelli , G. L. Giorgi , F. Plastina

The notion of a qubit is ubiquitous in quantum information processing. In spite of the simple abstract definition of qubits as two-state quantum systems, identifying qubits in physical systems is often unexpectedly difficult. There are an…

量子物理 · 物理学 2009-11-07 Lorenza Viola , Emanuel Knill , Raymond Laflamme

The simplest decomposition of a Toffoli gate acting on three qubits requires {\em five} 2-qubit gates. If we restrict ourselves to controlled-sign (or controlled-NOT) gates this number climbs to six. We show that the number of…

量子物理 · 物理学 2009-11-13 T. C. Ralph , K. J. Resch , A. Gilchrist

We present a family of easily computable upper bounds for the Holevo quantity of ensemble of quantum states depending on a reference state as a free parameter. These upper bounds are obtained by combining probabilistic and metric…

量子物理 · 物理学 2019-10-18 M. E. Shirokov

We investigate the problem of teleporting an unknown qubit state to a recipient via a channel of $2\L$ qubits. In this procedure a protocol is employed whereby $\L$ Bell state measurements are made and information based on these…

量子物理 · 物理学 2007-05-23 Jon Links , John Paul Barjaktarevic , Gerard J. Milburn , Ross H. McKenzie

There are only two known kinds of zero-capacity channels. The first kind produces entangled states that have positive partial transpose, and the second one - states that are cloneable. We consider the family of 'hybrid' quantum channels,…

量子物理 · 物理学 2012-08-30 Sergii Strelchuk , Jonathan Oppenheim

In this paper, we consider the minimal entropy of qubit states transmitted through two uses of a noisy quantum channel, which is modeled by the action of a completely positive trace-preserving (or stochastic) map. We provide strong support…

量子物理 · 物理学 2007-05-23 C. King , M. B. Ruskai

We prove additivity of the minimum output entropy and the Holevo capacity for rotationally invariant quantum channels acting on spin-1/2 and spin-1 systems. The physical significance of these channels and their relations to other known…

量子物理 · 物理学 2007-05-23 Nilanjana Datta

We consider quantum channels with one sender and two receivers, used in several different ways for the simultaneous transmission of independent messages. We begin by extending the technique of superposition coding to quantum channels with a…

量子物理 · 物理学 2011-10-25 Jon Yard , Patrick Hayden , Igor Devetak

Superconducting quantum devices are a leading technology for quantum computation, but they suffer from several challenges. Gate errors, coherence errors and a lack of connectivity all contribute to low fidelity results. In particular,…

We realize Landau-Streater (LS) and Werner-Holevo (WH) quantum channels for qutrits on the IBM quantum computers. These channels correspond to interaction between the qutrit and its environment that result in the globally unitarily…

High dimensional Hilbert spaces used for quantum communication channels offer the possibility of large data transmission capabilities. We propose a method of characterizing the channel capacity of an entangled photonic state in high…

量子物理 · 物理学 2013-05-30 P. Ben Dixon , Gregory A. Howland , James Schneeloch , John C. Howell

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 the performance of a partially correlated amplitude damping channel acting on two qubits. We derive lower bounds for the single-shot classical capacity by studying two kinds of quantum ensembles, one which allows to maximize the…

量子物理 · 物理学 2016-01-13 A. D'Arrigo , G. Benenti , G. Falci , C. Macchiavello