DocumentCode :
1297045
Title :
Entanglement-Assisted Communication of Classical and Quantum Information
Author :
Hsieh, Min-Hsiu ; Wilde, Mark M.
Author_Institution :
ERATO-SORST Quantum Comput. & Inf. Project, Japan Sci. & Technol. Agency, Tokyo, Japan
Volume :
56
Issue :
9
fYear :
2010
Firstpage :
4682
Lastpage :
4704
Abstract :
In this paper, we consider the problem of transmitting classical and quantum information reliably over an entanglement-assisted quantum (EAQ) channel. Our main result is a capacity theorem that gives a 3-D achievable rate region. Points in the region are rate triples, consisting of the classical communication rate, the quantum communication rate, and the entanglement consumption rate of a particular coding scheme. The crucial protocol in achieving the boundary points of the capacity region is a protocol that we name the classically enhanced father (CEF) protocol. The CEF protocol is more general than other protocols in the family tree of quantum Shannon theoretic protocols, in the sense that several previously known quantum protocols are now child protocols of it. The CEF protocol also shows an improvement over a timesharing strategy for the case of a qubit dephasing channel-this result justifies the need for simultaneous coding of classical and quantum information over an EAQ channel. Our capacity theorem is of a multiletter nature (requiring a limit over many uses of the channel), but it reduces to a single-letter characterization for at least three channels: the completely depolarizing channel, the quantum erasure channel, and the qubit dephasing channel.
Keywords :
information theory; protocols; quantum communication; quantum entanglement; 3D achievable rate region; capacity theorem; classical communication rate; classical information; classically enhanced father protocol; coding scheme; entanglement consumption rate; entanglement-assisted communication; entanglement-assisted quantum channel; quantum Shannon theoretic protocol; quantum communication rate; quantum erasure channel; quantum information; quantum protocol; qubit dephasing channel; Channel capacity; Channel coding; Codes; Computer science; Helium; Instruments; International collaboration; Noise measurement; Protocols; Quantum computing; Quantum entanglement; Quantum mechanics; Classically enhanced father (CEF) protocol; entanglement-assisted classical and quantum (EACQ) coding; entanglement-assisted quantum (EAQ) channel; quantum Shannon theory;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2010.2053903
Filename :
5550293
Link To Document :
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