Published December 2017
| Published + Submitted
Journal Article
Open
Equivalence between contextuality and negativity of the Wigner function for qudits
Abstract
Understanding what distinguishes quantum mechanics from classical mechanics is crucial for quantum information processing applications. In this work, we consider two notions of non-classicality for quantum systems, negativity of the Wigner function and contextuality for Pauli measurements. We prove that these two notions are equivalent for multi-qudit systems with odd local dimension. For a single qudit, the equivalence breaks down. We show that there exist single qudit states that admit a non-contextual hidden variable model description and whose Wigner functions are negative.
Additional Information
© 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Received 27 April 2017. Accepted 29 September 2017. Published 8 December 2017. ND acknowledges funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-2644). CO acknowledges funding from NSERC. JBV acknowledges funding from AQuS. RR is supported by NSERC and Cifar. RR thanks Ana Belén Sainz for discussions. ND thanks Kamil Korzekwa for his comments on a preliminary version of this work. DB acknowledges funding provided by EPSRC Centre for Doctoral Training in Delivering Quantum Technologies. DB and JBV thank the Perimeter Institute for its hospitality and during the conference, 'Contextuality: Conceptual Issues, Operational Signatures, and Applications'.Attached Files
Published - Delfosse_2017_New_J._Phys._19_123024.pdf
Submitted - 1610.07093
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Delfosse_2017_New_J._Phys._19_123024.pdf
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Additional details
- Eprint ID
- 84033
- Resolver ID
- CaltechAUTHORS:20180102-134007465
- PHY-1125565
- NSF
- GBMF-2644
- Gordon and Betty Moore Foundation
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Canadian Institute for Advanced Research (CIFAR)
- Engineering and Physical Sciences Research Council (EPSRC)
- Universität Heidelberg
- Created
-
2018-01-02Created from EPrint's datestamp field
- Updated
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2022-07-12Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter