Delfosse, N;
Okay, C;
Bermejo-Vega, J;
Browne, DE;
Raussendorf, R;
(2017)
Equivalence between contextuality and negativity of the Wigner function for qudits.
New Journal of Physics
, 19
, Article 123024. 10.1088/1367-2630/aa8fe3.
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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.
| Type: | Article |
|---|---|
| Title: | Equivalence between contextuality and negativity of the Wigner function for qudits |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1367-2630/aa8fe3 |
| Publisher version: | http://dx.doi.org/10.1088/1367-2630/aa8fe3 |
| Language: | English |
| Additional information: | 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. |
| Keywords: | Discrete Wigner functions, contextuality, hidden variable model, quantum computing, QUANTUM COMPUTATION, HIDDEN-VARIABLES, PHASE-SPACE, NONLOCALITY, MECHANICS, THEOREMS |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1523318 |
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