Classical to quantum in large-number limit

Kavan Modi, Rosario Fazio, Saverio Pascazio, Vlatko Vedral, Kazuya Yuasa

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)4810-4820
    Number of pages11
    JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Volume370
    Issue number1976
    DOIs
    Publication statusPublished - 2012 Oct 13

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    resources
    Nuclear magnetic resonance
    nuclear magnetic resonance
    purity
    Nuclear Magnetic Resonance
    Resources
    Quantum State
    Quantum Systems
    Correspondence
    Necessary

    Keywords

    • Large-number limit
    • Purity
    • Quantumness witness

    ASJC Scopus subject areas

    • Mathematics(all)
    • Physics and Astronomy(all)
    • Engineering(all)

    Cite this

    Classical to quantum in large-number limit. / Modi, Kavan; Fazio, Rosario; Pascazio, Saverio; Vedral, Vlatko; Yuasa, Kazuya.

    In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 370, No. 1976, 13.10.2012, p. 4810-4820.

    Research output: Contribution to journalArticle

    Modi, Kavan ; Fazio, Rosario ; Pascazio, Saverio ; Vedral, Vlatko ; Yuasa, Kazuya. / Classical to quantum in large-number limit. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2012 ; Vol. 370, No. 1976. pp. 4810-4820.
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