Optimal single-shot strategies for discrimination of quantum
measurements

J 2014

Optimal single-shot strategies for discrimination of quantum measurements

SEDLÁK, Michal a Mário ZIMAN

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

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10000 1. Natural Sciences

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

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

Změněno: 28. 4. 2015 13:02, RNDr. Pavel Šmerk, Ph.D.

Anotace

V originále

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

Citovat

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.

@article{1298096,
   author = {Sedlák, Michal and Ziman, Mário},
   article_location = {USA},
   article_number = {5},
   doi = {http://dx.doi.org/10.1103/PhysRevA.90.052312},
   keywords = {quantum measurement; hypothesis testing; quantum key distribution},
   language = {eng},
   issn = {1050-2947},
   journal = {Physical Review A},
   title = {Optimal single-shot strategies for discrimination of quantum measurements},
   url = {http://dx.doi.org/10.1103/PhysRevA.90.052312},
   volume = {90},
   year = {2014}
}

TY  - JOUR
ID  - 1298096
AU  - Sedlák, Michal - Ziman, Mário
PY  - 2014
TI  - Optimal single-shot strategies for discrimination of quantum measurements
JF  - Physical Review A
VL  - 90
IS  - 5
SP  - 052312
EP  - 052312
PB  - The American Physical Society
SN  - 10502947
KW  - quantum measurement
KW  - hypothesis testing
KW  - quantum key distribution
UR  - http://dx.doi.org/10.1103/PhysRevA.90.052312
L2  - http://dx.doi.org/10.1103/PhysRevA.90.052312
N2  - 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.
ER  -

SEDLÁK, Michal a Mário ZIMAN. Optimal single-shot strategies for discrimination of quantum measurements. \textit{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.

Podrobný výpis o publikaci