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All sets of incompatible measurements give an advantage in quantum state discrimination

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All sets of incompatible measurements give an advantage in quantum state discrimination. / Skrzypczyk, Paul; Supic, Ivan; Cavalcanti, Daniel.

In: Physical Review Letters, Vol. 122, No. 13, 130403, 02.04.2019.

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Skrzypczyk, Paul ; Supic, Ivan ; Cavalcanti, Daniel. / All sets of incompatible measurements give an advantage in quantum state discrimination. In: Physical Review Letters. 2019 ; Vol. 122, No. 13.

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@article{78771a68efe84763b2c43e8b50abe489,
title = "All sets of incompatible measurements give an advantage in quantum state discrimination",
abstract = "Some quantum measurements cannot be performed simultaneously; i.e., they are incompatible. Here we show that every set of incompatible measurements provides an advantage over compatible ones in a suitably chosen quantum state discrimination task. This is proven by showing that the robustness of incompatibility, a quantifier of how much noise a set of measurements tolerates before becoming compatible, has an operational interpretation as the advantage in an optimally chosen discrimination task. We also show that if we take a resource-theory perspective of measurement incompatibility, then the guessing probability in discrimination tasks of this type forms a complete set of monotones that completely characterize the partial order in the resource theory. Finally, we make use of previously known relations between measurement incompatibility and Einstein-Podolsky-Rosen steering to also relate the latter with quantum state discrimination.",
keywords = "quantum measurements, quantum nonlocality, resource theories",
author = "Paul Skrzypczyk and Ivan Supic and Daniel Cavalcanti",
year = "2019",
month = "4",
day = "2",
doi = "10.1103/PhysRevLett.122.130403",
language = "English",
volume = "122",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society (APS)",
number = "13",

}

RIS - suitable for import to EndNote

TY - JOUR

T1 - All sets of incompatible measurements give an advantage in quantum state discrimination

AU - Skrzypczyk, Paul

AU - Supic, Ivan

AU - Cavalcanti, Daniel

PY - 2019/4/2

Y1 - 2019/4/2

N2 - Some quantum measurements cannot be performed simultaneously; i.e., they are incompatible. Here we show that every set of incompatible measurements provides an advantage over compatible ones in a suitably chosen quantum state discrimination task. This is proven by showing that the robustness of incompatibility, a quantifier of how much noise a set of measurements tolerates before becoming compatible, has an operational interpretation as the advantage in an optimally chosen discrimination task. We also show that if we take a resource-theory perspective of measurement incompatibility, then the guessing probability in discrimination tasks of this type forms a complete set of monotones that completely characterize the partial order in the resource theory. Finally, we make use of previously known relations between measurement incompatibility and Einstein-Podolsky-Rosen steering to also relate the latter with quantum state discrimination.

AB - Some quantum measurements cannot be performed simultaneously; i.e., they are incompatible. Here we show that every set of incompatible measurements provides an advantage over compatible ones in a suitably chosen quantum state discrimination task. This is proven by showing that the robustness of incompatibility, a quantifier of how much noise a set of measurements tolerates before becoming compatible, has an operational interpretation as the advantage in an optimally chosen discrimination task. We also show that if we take a resource-theory perspective of measurement incompatibility, then the guessing probability in discrimination tasks of this type forms a complete set of monotones that completely characterize the partial order in the resource theory. Finally, we make use of previously known relations between measurement incompatibility and Einstein-Podolsky-Rosen steering to also relate the latter with quantum state discrimination.

KW - quantum measurements

KW - quantum nonlocality

KW - resource theories

UR - http://www.scopus.com/inward/record.url?scp=85064040805&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.122.130403

DO - 10.1103/PhysRevLett.122.130403

M3 - Article

VL - 122

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

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ER -