Quantum rate-distortion theory for memoryless sources

Author

Devetak, Igor ; Berger, Toby

Author_Institution

Dept. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA

Volume

48

Issue

6

fYear

2002

fDate

6/1/2002 12:00:00 AM

Firstpage

1580

Lastpage

1589

Abstract

We formulate quantum rate-distortion theory in the most general setting where classical side information is included in the tradeoff. Using a natural distortion measure based on entanglement fidelity and specializing to the case of an unrestricted classical side channel, we find the exact quantum rate-distortion function for a source of isotropic qubits. An upper bound we believe to be exact is found in the case of biased sources. We establish that in this scenario optimal rate-distortion codes produce no entropy exchange with the environment of any individual qubit

Keywords

information theory; memoryless systems; quantum communication; rate distortion theory; source coding; biased sources; classical side information; entanglement fidelity; entropy exchange; isotropic qubits; memoryless sources; natural distortion measure; optimal rate-distortion codes; quantum information theory; quantum rate-distortion theory; source coding; unrestricted classical side channel; upper bound; Distortion measurement; Entropy; IEEE activities; Information Theory Society; Information theory; Quantum entanglement; Quantum mechanics; Random variables; Rate-distortion; Source coding;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2002.1003840

Filename

1003840