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Robustness of Measurement, Discrimination Games, and Accessible Information

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Robustness of Measurement, Discrimination Games, and Accessible Information. / Skrzypczyk, Paul; Linden, Noah.

In: Physical Review Letters, Vol. 122, No. 14, 140402, 12.04.2019.

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@article{343d30040dc443f292b84f365d15b257,
title = "Robustness of Measurement, Discrimination Games, and Accessible Information",
abstract = "We introduce a resource theory of measurement informativeness. This allows us to define an associated quantifier, which we call the robustness of measurement. It describes how much {"}noise{"} must be added to a measurement before it becomes completely uninformative. We show that this geometric quantifier has operational significance in terms of the advantage the measurement provides over guessing at random in a suitably chosen state discrimination game and that it is the single-shot generalization of the accessible information of a certain quantum-to-classical channel. Using this insight, we further show that the recently introduced robustness of asymmetry or coherence is the single-shot generalization of the accessible information of an ensemble. Finally, we discuss more generally the connection between robustness-based measures, discrimination problems, and information-theoretic quantities.",
author = "Paul Skrzypczyk and Noah Linden",
year = "2019",
month = "4",
day = "12",
doi = "10.1103/PhysRevLett.122.140403",
language = "English",
volume = "122",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society (APS)",
number = "14",

}

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TY - JOUR

T1 - Robustness of Measurement, Discrimination Games, and Accessible Information

AU - Skrzypczyk, Paul

AU - Linden, Noah

PY - 2019/4/12

Y1 - 2019/4/12

N2 - We introduce a resource theory of measurement informativeness. This allows us to define an associated quantifier, which we call the robustness of measurement. It describes how much "noise" must be added to a measurement before it becomes completely uninformative. We show that this geometric quantifier has operational significance in terms of the advantage the measurement provides over guessing at random in a suitably chosen state discrimination game and that it is the single-shot generalization of the accessible information of a certain quantum-to-classical channel. Using this insight, we further show that the recently introduced robustness of asymmetry or coherence is the single-shot generalization of the accessible information of an ensemble. Finally, we discuss more generally the connection between robustness-based measures, discrimination problems, and information-theoretic quantities.

AB - We introduce a resource theory of measurement informativeness. This allows us to define an associated quantifier, which we call the robustness of measurement. It describes how much "noise" must be added to a measurement before it becomes completely uninformative. We show that this geometric quantifier has operational significance in terms of the advantage the measurement provides over guessing at random in a suitably chosen state discrimination game and that it is the single-shot generalization of the accessible information of a certain quantum-to-classical channel. Using this insight, we further show that the recently introduced robustness of asymmetry or coherence is the single-shot generalization of the accessible information of an ensemble. Finally, we discuss more generally the connection between robustness-based measures, discrimination problems, and information-theoretic quantities.

UR - http://www.scopus.com/inward/record.url?scp=85064258002&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.122.140403

DO - 10.1103/PhysRevLett.122.140403

M3 - Article

VL - 122

JO - Physical Review Letters

T2 - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 14

M1 - 140402

ER -