Minimax quantum state discrimination

Details Minimax quantum state discrimination Minimax quantum state discrimination

2005-04-07

arxiv.org/abs/quant-ph/0504048v5

Phys. Rev. A 72, 032310 (2005)

Physics

Quantum Physics

5 pages, no figures; the title is changed. Some improvements. Corollary 1 has been corrected (now Remark 1). Phys. Rev. A in p

Scientific paper

We derive the optimal measurement for quantum state discrimination without a priori probabilities, i.e. in a minimax strategy instead of the usually considered Bayesian one. We consider both minimal-error and unambiguous discrimination problems, and provide the relation between the optimal measurements according to the two schemes. We show that there are instances in which the minimum risk cannot be achieved by an orthogonal measurement, and this is a common feature of the minimax estimation strategy.

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