Quantum Data Compression and Relative Entropy Revisited

Details Quantum Data Compression and Relative Entropy Revisited Quantum Data Compression and Relative Entropy Revisited

2008-05-02

arxiv.org/abs/0805.0328v2

Phys.Rev.A. 78 (2008) 022311

Physics

Quantum Physics

7 pages, no figures, minor revision

Scientific paper

10.1103/PhysRevA.78.022311

B. Schumacher and M. Westmoreland have established a quantum analog of a well-known classical information theory result on a role of relative entropy as a measure of non-optimality in (classical) data compression. In this paper, we provide an alternative, simple and constructive proof of this result by constructing quantum compression codes (schemes) from classical data compression codes. Moreover, as the quantum data compression/coding task can be effectively reduced to a (quasi-)classical one, we show that relevant results from classical information theory and data compression become applicable and therefore can be extended to the quantum domain.

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