Accessible information and optimal strategies for real symmetrical quantum sources

Details Accessible information and optimal strategies for real symmetrical quantum sources Accessible information and optimal strategies for real symmetrical quantum sources

1998-12-22

arxiv.org/abs/quant-ph/9812062v3

Phys.Rev. A59 (2002) 3325

Physics

Quantum Physics

RevTeX, 16 pages, 4 eps figures with psfig, submitted to Phys. Rev. A, corrected output error of Fig. 1 in the previous versio

Scientific paper

10.1103/PhysRevA.59.3325

We study the problem of optimizing the Shannon mutual information for sources of real quantum states i.e. sources for which there is a basis in which all the states have only real components. We consider in detail the sources ${\cal E}_M$ of $M$ equiprobable qubit states lying symmetrically around the great circle of real states on the Bloch sphere and give a variety of explicit optimal strategies. We also consider general real group-covariant sources for which the group acts irreducibly on the subset of all real states and prove the existence of a real group-covariant optimal strategy, extending a theorem of Davies (E. B. Davies, IEEE. Inf. Theory {\bf IT-24}, 596 (1978)). Finally we propose an optical scheme to implement our optimal strategies, enough simple to be realized with present technology.

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