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

• URL: http://arxiv.org/abs/2111.13218v2
• Date: Sat, 10 Dec 2022 03:08:19 GMT
• Title: Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements
• Authors: Robert I. Booth, Ulysse Chabaud and Pierre-Emmanuel Emeriau
• Abstract summary: We show that contextuality and Wigner negativity are in fact equivalent for the standard models of continuous-variable quantum computing. Our results 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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