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Process positive operator valued measure: A mathematical framework for the description of process tomography experiments

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F08%3A00025145" target="_blank" >RIV/00216224:14330/08:00025145 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Process positive operator valued measure: A mathematical framework for the description of process tomography experiments

  • Original language description

    In this paper we shall introduce the mathematical framework for the description of measurements of quantum processes. Using this framework the process estimation problems can be treated in the similar way as the state estimation problems, only replacingthe concept of positive operator valued measure (POVM) by the concept of process POVM (PPOVM). In particular, we will show that any measurement of qudit channels can be described by a collection of effects (positive operators) defined on two-qudit system. However, the effects forming a PPOVM are not normalized in the usual sense. We will demonstrate the usage of this formalism in discrimination problems by showing that perfect channel discrimination is equivalent to a specific unambiguous state discrimination.

  • Czech name

    Procesové POVM: Matematický nástroj pro popis experimentů procesové tomografie

  • Czech description

    Článek uvádí matematický formalismus pro popis měření kvantových procesů.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F07%2F0603" target="_blank" >GA201/07/0603: Quantum multipartite computation, communication and security</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Physical Review A

  • ISSN

    1050-2947

  • e-ISSN

  • Volume of the periodical

    77

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    4

  • Pages from-to

  • UT code for WoS article

    000257288800034

  • EID of the result in the Scopus database