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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Foundations

Equivalence between contextuality and negativity of the Wigner function for qudits

arXiv

Authors: Nicolas Delfosse, Cihan Okay, Juan Bermejo-Vega, Dan E. Browne, Robert Raussendorf

Year

2016

Paper ID

42800

Status

Preprint

Abstract Read

~2 min

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Abstract

Contextuality and negativity of the Wigner function are two notions of non-classicality for quantum systems. Howard, Wallman, Veitch and Emerson proved recently that these two notions coincide for qudits in odd prime dimension. This equivalence is particularly important since it promotes contextuality as a ressource that magic states must possess in order to allow for a quantum speed-up. We propose a simple proof of the equivalence between contextuality and negativity of the Wigner function based on character theory. This simplified approach allows us to generalize this equivalence to multiple qudits and to any qudit system of odd local dimension.

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Contextuality and negativity of the Wigner function are two notions of non-classicality for quantum systems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.07093 [2] arXiv https://arxiv.org/abs/1610.07093 [3] Publisher https://arxiv.org/abs/1610.07093

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