Please use this identifier to cite or link to this item: https://doi.org/10.1098/rsta.2011.0353
Title: Classical to quantum in large-number limit
Authors: Modi, K. 
Fazio, R.
Pascazio, S.
Vedral, V. 
Yuasa, K.
Keywords: Large-number limit
Purity
Quantumness witness
Issue Date: 13-Oct-2012
Citation: Modi, K., Fazio, R., Pascazio, S., Vedral, V., Yuasa, K. (2012-10-13). Classical to quantum in large-number limit. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 370 (1976) : 4810-4820. ScholarBank@NUS Repository. https://doi.org/10.1098/rsta.2011.0353
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.
Source Title: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
URI: http://scholarbank.nus.edu.sg/handle/10635/116260
ISSN: 1364503X
DOI: 10.1098/rsta.2011.0353
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