<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Cong W</dc:creator>
  <dc:creator>Cai Y</dc:creator>
  <dc:creator>Bancal JD</dc:creator>
  <dc:creator>Scarani V</dc:creator>
  <dc:date>2017</dc:date>
  <dc:description xmlns:ns0="xml" ns0:lang="en">The Hilbert space dimension of a quantum system is the most basic quantifier of its information content. Lower bounds on the dimension can be certified in a device-independent way, based only on observed statistics. We highlight that some such "dimension witnesses" capture only the presence of systems of some dimension, which in a sense is trivial, not the capacity of performing information processing on them, which is the point of experimental efforts to control high-dimensional systems. In order to capture this aspect, we introduce the notion of irreducible dimension of a quantum behavior. This dimension can be certified, and we provide a witness for irreducible dimension four.</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>https://sonar.ch/global/documents/92208</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.119.080401</dc:relation>
  <dc:relation>info:eu-repo/semantics/altIdentifier/pmid/28952755</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:source>Physical review letters. - 2017</dc:source>
  <dc:title xmlns:ns1="xml" ns1:lang="en">Witnessing Irreducible Dimension.</dc:title>
  <dc:type>http://purl.org/coar/resource_type/c_6501</dc:type>
</oai_dc:dc>