Stationary quantum source coding
Author(s) -
Dėnes Petz,
Milán Mosonyi
Publication year - 2001
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.1398335
Subject(s) - mathematics , shannon's source coding theorem , quantum no deleting theorem , shannon–fano coding , variable length code , ergodic theory , quantum information , quantum capacity , quantum , discrete mathematics , quantum channel , pure mathematics , coding (social sciences) , quantum network , quantum mechanics , physics , joint quantum entropy , statistics , maximum entropy thermodynamics
In this paper the quantum source coding theorem is obtained for a completelyergodic source. This results extends Shannon's classical theorem as well asSchumacher's quantum noiseless coding theorem for memoryless sources. Thecontrol of the memory effects requires earlier results of Hiai and Petz on highprobability subspaces.Comment: 8 page
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