Universality of optimal measurements

Details Universality of optimal measurements Universality of optimal measurements

1999-07-30

arxiv.org/abs/quant-ph/9907098v1

Phys. Rev. A 60, R3339 (1999)

Physics

Quantum Physics

Revtex, 5 pages, no figures

Scientific paper

10.1103/PhysRevA.60.R3339

We present optimal and minimal measurements on identical copies of an unknown state of a qubit when the quality of measuring strategies is quantified with the gain of information (Kullback of probability distributions). We also show that the maximal gain of information occurs, among isotropic priors, when the state is known to be pure. Universality of optimal measurements follows from our results: using the fidelity or the gain of information, two different figures of merits, leads to exactly the same conclusions. We finally investigate the optimal capacity of $N$ copies of an unknown state as a quantum channel of information.

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