Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Physical Review Letters Year : 2022

Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements

Abstract

Quantum computers will provide considerable speedups with respect to their classical counterparts. However, the identification of the innately quantum features that enable these speedups is challenging. In the continuous-variable setting - a promising paradigm for the realisation of universal, scalable, and fault-tolerant quantum computing - contextuality and Wigner negativity have been perceived as two such distinct resources. Here we show that they are in fact equivalent for the standard models of continuous-variable quantum computing. While our results provide a unifying picture of continuous-variable resources for quantum speedup, they also pave the way towards practical demonstrations of continuous-variable contextuality, and shed light on the significance of negative probabilities in phase-space descriptions of quantum mechanics.

Dates and versions

hal-03516755 , version 1 (07-01-2022)

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Cite

Robert Booth, Ulysse Chabaud, Pierre-Emmanuel Emeriau. Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements. Physical Review Letters, 2022, 129 (23), pp.230401. ⟨10.1103/PhysRevLett.129.230401⟩. ⟨hal-03516755⟩
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