Optimal discrimination between overcomplete states

R. Clarke; V. M. Kendon; E. Riis; S. M. Barnett; A. Chefles

2000 International Quantum Electronics Conference
Technical Digest Series (Optica Publishing Group, 2000),
paper QThJ5

Optimal discrimination between overcomplete states

R. Clarke, V. M. Kendon, E. Riis, S. M. Barnett, and A. Chefles

International Quantum Electronics Conference 2000

Nice France
10–15 September 2000
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Quantum Information (QThJ)

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R. Clarke, V. M. Kendon, E. Riis, S. M. Barnett, and A. Chefles, "Optimal discrimination between overcomplete states," in 2000 International Quantum Electronics Conference, Technical Digest Series (Optica Publishing Group, 2000), paper QThJ5.

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Abstract

We show how to discriminate between overcomplete sets of quantum states with minimum error probabilities. It is not possible to distinguish reliably between non-orthogonal states [1], but given a specific set of N states (N >2 for a two-state system) one can ask how well can they be distinguished. The answer is different depending on whether you want the minimum error, or the maximum information.

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