Classical to quantum in large-number limit (Articolo in rivista)

Type
Label
  • Classical to quantum in large-number limit (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1098/rsta.2011.0353 (literal)
Alternative label
  • Modi K.; Fazio R.; Pascazio S.; Vedral V.; Yuasa K. (2012)
    Classical to quantum in large-number limit
    in Philosophical transactions - Royal Society. Mathematical, Physical and engineering sciences (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Modi K.; Fazio R.; Pascazio S.; Vedral V.; Yuasa K. (literal)
Pagina inizio
  • 4810 (literal)
Pagina fine
  • 4820 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.scopus.com/inward/record.url?eid=2-s2.0-84866388602&partnerID=q2rCbXpz (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 370 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 1976 (literal)
Note
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Department of Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom; Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore; Department of Physics, National University of Singapore, Singapore, Singapore; NEST, Scuola Normale Superiore and Istituto Nanoscienze, CNR, 56127 Pisa, Italy; Dipartimento di Fisica and MECENAS, Università di Bari, 70125 Bari, Italy; INFN, Sezione di Bari, 70125 Bari, Italy; Department of Physics, Waseda University, Tokyo 169-8555, Japan (literal)
Titolo
  • Classical to quantum in large-number limit (literal)
Abstract
  • We construct a quantumness witness following the work of Alicki & van Ryn (AvR). We reformulate the AvR test by defining it for quantum states rather than for observables. This allows us to identify the necessary quantities and resources to detect quantumness for any given system. The first quantity turns out to be the purity of the system. When applying the witness to a system with even moderate mixedness, the protocol is unable to reveal any quantumness. We then show that having many copies of the system leads the witness to reveal quantumness. This seems contrary to the Bohr correspondence, which asserts that, in the large-number limit, quantum systems become classical, whereas the witness shows quantumness when several non-quantum systems, as determined by the witness, are considered together. However, the resources required to detect the quantumness increase dramatically with the number of systems. We apply the quantumness witness for systems that are highly mixed but in the large-number limit that resembles nuclear magnetic resonance (NMR) systems. We make several conclusions about detecting quantumness in NMR-like systems. © 2012 The Royal Society. (literal)
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