Journal article Open Access

Multistate and multihypothesis discrimination with open quantum systems

Kiilerich, Alexander Holm; Mølmer, Klaus


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  <identifier identifierType="URL">https://zenodo.org/record/1566638</identifier>
  <creators>
    <creator>
      <creatorName>Kiilerich, Alexander Holm</creatorName>
      <givenName>Alexander Holm</givenName>
      <familyName>Kiilerich</familyName>
      <affiliation>Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, 8000 Aarhus C, Denmark</affiliation>
    </creator>
    <creator>
      <creatorName>Mølmer, Klaus</creatorName>
      <givenName>Klaus</givenName>
      <familyName>Mølmer</familyName>
      <affiliation>Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, 8000 Aarhus C, Denmark</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Multistate and multihypothesis discrimination with open quantum systems</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2018</publicationYear>
  <subjects>
    <subject>nanoqtech</subject>
    <subject>rare earth</subject>
    <subject>quantum technologies</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2018-05-14</date>
  </dates>
  <resourceType resourceTypeGeneral="JournalArticle"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/1566638</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1103/PhysRevA.97.052113</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://zenodo.org/communities/nanoqtech-h2020</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;We show how an upper bound for the ability to discriminate any number&amp;nbsp;N&amp;nbsp;of candidates for the Hamiltonian governing the evolution of an open quantum system may be calculated by numerically efficient means. Our method applies an effective master equation analysis to evaluate the pairwise overlaps between candidate full states of the system and its environment pertaining to the Hamiltonians. These overlaps are then used to construct an&amp;nbsp;N-dimensional representation of the states. The optimal positive-operator valued measure (POVM) and the corresponding probability of assigning a false hypothesis may subsequently be evaluated by phrasing optimal discrimination of multiple non-orthogonal quantum states as a semi-definite programming problem. We investigate the structure of the optimal POVM and we provide three realistic examples of hypothesis testing with open quantum systems.&lt;/p&gt;</description>
  </descriptions>
  <fundingReferences>
    <fundingReference>
      <funderName>European Commission</funderName>
      <funderIdentifier funderIdentifierType="Crossref Funder ID">10.13039/501100000780</funderIdentifier>
      <awardNumber awardURI="info:eu-repo/grantAgreement/EC/H2020/712721/">712721</awardNumber>
      <awardTitle>Nanoscale Systems for Optical Quantum Technologies</awardTitle>
    </fundingReference>
  </fundingReferences>
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