Optimal single-shot strategies for discrimination of quantum measurements

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Publikace nespadá pod Pedagogickou fakultu, ale pod Fakultu informatiky. Oficiální stránka publikace je na webu muni.cz.
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SEDLÁK Michal ZIMAN Mário

Rok publikování 2014
Druh Článek v odborném periodiku
Časopis / Zdroj Physical Review A
Fakulta / Pracoviště MU

Fakulta informatiky

Citace
www http://dx.doi.org/10.1103/PhysRevA.90.052312
Doi http://dx.doi.org/10.1103/PhysRevA.90.052312
Obor Teorie informace
Klíčová slova quantum measurement; hypothesis testing; quantum key distribution
Popis We study discrimination of m quantum measurements in the scenario when the unknown measurement with n outcomes can be used only once. We show that ancilla-assisted discrimination procedures provide a nontrivial advantage over simple (ancilla-free) schemes for perfect distinguishability and we prove that inevitably m <= n. We derive necessary and sufficient conditions of perfect distinguishability of general binary measurements. We show that the optimization of the discrimination of projective qubit measurements and their mixtures with white noise is equivalent to the discrimination of specific quantum states. In particular, the optimal protocol for discrimination of projective qubit measurements with fixed failure rate (exploiting maximally entangled test state) is described. While minimum error discrimination of two projective qubit measurements can be realized without any need of entanglement, we show that discrimination of three projective qubit measurements requires a bipartite probe state. Moreover, when the measurements are not projective, the non-maximally entangled test states can outperform the maximally entangled ones.
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