Optimal single-shot strategies for discrimination of quantum measurements

SEDLÁK, Michal a Mário ZIMAN. Optimal single-shot strategies for discrimination of quantum measurements. Physical Review A. USA: The American Physical Society, 2014, roč. 90, č. 5, s. 052312-52323. ISSN 1050-2947. Dostupné z: https://dx.doi.org/10.1103/PhysRevA.90.052312.

Základní údaje

• Originální název: Optimal single-shot strategies for discrimination of quantum measurements
• Autoři: SEDLÁK, Michal (703 Slovensko) a Mário ZIMAN (703 Slovensko, domácí).
• Vydání: Physical Review A, USA, The American Physical Society, 2014, 1050-2947.

Další údaje

• Originální jazyk: angličtina
• Typ výsledku: Článek v odborném periodiku
• Obor: 10000 1. Natural Sciences
• Stát vydavatele: Spojené státy
• Utajení: není předmětem státního či obchodního tajemství
• WWW: URL
• Impakt faktor: Impact factor: 2.808
• Kód RIV: RIV/00216224:14330/14:00074512
• Organizační jednotka: Fakulta informatiky
• Doi: http://dx.doi.org/10.1103/PhysRevA.90.052312
• UT WoS: 000344914400007
• Klíčová slova anglicky: quantum measurement; hypothesis testing; quantum key distribution

Anotace

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.

Návaznosti

• GAP202/12/1142, projekt VaV: Název: Slabé zdroje entanglementu a náhodnosti

Investor: Grantová agentura ČR, Weak sources of entanglement and randomness