Incompatible measurements on quantum causal networks

J 2016

Incompatible measurements on quantum causal networks

SEDLÁK, Michal, Daniel REITZNER, Giulio CHIRIBELLA and Mário ZIMAN

Basic information

Original name

Incompatible measurements on quantum causal networks

Authors

SEDLÁK, Michal (703 Slovakia), Daniel REITZNER (703 Slovakia), Giulio CHIRIBELLA (380 Italy) and Mário ZIMAN (703 Slovakia, guarantor, belonging to the institution)

Edition

Physical Review A, 2016, 2469-9926

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10301 Atomic, molecular and chemical physics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 2.925

RIV identification code

RIV/00216224:14330/16:00088809

Organization unit

Faculty of Informatics

DOI

http://dx.doi.org/10.1103/PhysRevA.93.052323

UT WoS

000376242200005

Keywords in English

quantum foundations; quantum incompatibility; quantum information theory

Změněno: 27/4/2017 07:14, RNDr. Pavel Šmerk, Ph.D.

Abstract

V originále

The existence of incompatible measurements, epitomized by Heisenberg's uncertainty principle, is one of the distinctive features of quantum theory. So far, quantum incompatibility has been studied for measurements that test the preparation of physical systems. Here we extend the notion to measurements that test dynamical processes, possibly consisting of multiple time steps. Such measurements are known as testers and are implemented by interacting with the tested process through a sequence of state preparations, interactions, and measurements. Our first result is a characterization of the incompatibility of quantum testers, for which we provide necessary and sufficient conditions. Then we propose a quantitative measure of incompatibility. We call this measure the robustness of incompatibility and define it as the minimum amount of noise that has to be added to a set of testers in order to make them compatible. We show that (i) the robustness is lower bounded by the distinguishability of the sequence of interactions used by the tester and (ii) maximum robustness is attained when the interactions are perfectly distinguishable. The general results are illustrated in the concrete example of binary testers probing the time evolution of a single-photon polarization.

Links

GA16-22211S, research and development project

Name: Rényiho entropie v kvantovém zpracování informace

Investor: Czech Science Foundation

Citovat

SEDLÁK, Michal, Daniel REITZNER, Giulio CHIRIBELLA and Mário ZIMAN. Incompatible measurements on quantum causal networks. Physical Review A. 2016, vol. 93, No 5, p. 1-23. ISSN 2469-9926. Available from: https://dx.doi.org/10.1103/PhysRevA.93.052323.

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   author = {Sedlák, Michal and Reitzner, Daniel and Chiribella, Giulio and Ziman, Mário},
   article_number = {5},
   doi = {http://dx.doi.org/10.1103/PhysRevA.93.052323},
   keywords = {quantum foundations; quantum incompatibility; quantum information theory},
   language = {eng},
   issn = {2469-9926},
   journal = {Physical Review A},
   title = {Incompatible measurements on quantum causal networks},
   url = {https://doi.org/10.1103/PhysRevA.93.052323},
   volume = {93},
   year = {2016}
}

TY  - JOUR
ID  - 1377518
AU  - Sedlák, Michal - Reitzner, Daniel - Chiribella, Giulio - Ziman, Mário
PY  - 2016
TI  - Incompatible measurements on quantum causal networks
JF  - Physical Review A
VL  - 93
IS  - 5
SP  - 1-23
EP  - 1-23
SN  - 24699926
KW  - quantum foundations
KW  - quantum incompatibility
KW  - quantum information theory
UR  - https://doi.org/10.1103/PhysRevA.93.052323
L2  - https://doi.org/10.1103/PhysRevA.93.052323
N2  - The existence of incompatible measurements, epitomized by Heisenberg's uncertainty principle, is one of the distinctive features of quantum theory. So far, quantum incompatibility has been studied for measurements that test the preparation of physical systems. Here we extend the notion to measurements that test dynamical processes, possibly consisting of multiple time steps. Such measurements are known as testers and are implemented by interacting with the tested process through a sequence of state preparations, interactions, and measurements. Our first result is a characterization of the incompatibility of quantum testers, for which we provide necessary and sufficient conditions. Then we propose a quantitative measure of incompatibility. We call this measure the robustness of incompatibility and define it as the minimum amount of noise that has to be added to a set of testers in order to make them compatible. We show that (i) the robustness is lower bounded by the distinguishability of the sequence of interactions used by the tester and (ii) maximum robustness is attained when the interactions are perfectly distinguishable. The general results are illustrated in the concrete example of binary testers probing the time evolution of a single-photon polarization.
ER  -

SEDLÁK, Michal, Daniel REITZNER, Giulio CHIRIBELLA and Mário ZIMAN. Incompatible measurements on quantum causal networks. \textit{Physical Review A}. 2016, vol.~93, No~5, p.~1-23. ISSN~2469-9926. Available from: https://dx.doi.org/10.1103/PhysRevA.93.052323.

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