Simulability of non-classical continuous-variable quantum circuits

• URL: http://arxiv.org/abs/2410.09226v2
• Date: Mon, 11 Nov 2024 13:03:35 GMT
• Title: Simulability of non-classical continuous-variable quantum circuits
• Authors: Massimo Frigerio, Antoine Debray, Nicolas Treps, Mattia Walschaers,
• Abstract summary: In continuous-variable quantum computation, identifying key elements that enable a quantum computational advantage is a long-standing issue. We develop a comprehensive and versatile framework that enables the identification of a potential quantum computational advantage. It can be straightforwardly applied to current continuous-variables quantum circuits, while also constraining the amount of losses above which any potential quantum advantage can be ruled out.
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• Abstract: In continuous-variable quantum computation, identifying key elements that enable a quantum computational advantage is a long-standing issue. Starting from the standard results on the necessity of Wigner negativity, we develop a comprehensive and versatile framework that not only enables the identification of a potential quantum computational advantage, but also allows to pinpoint the contribution of each quantum gate in achieving this objective. As such, it can be straightforwardly applied to current continuous-variables quantum circuits, while also constraining the tolerable amount of losses above which any potential quantum advantage can be ruled out. We use $(s)$-ordered quasiprobability distributions on phase-space to capture the non-classical features in the protocol, and focus our model entirely on the ordering parameter $s$. This allows us to highlight the resourcefulness and robustness to loss of a universal set of unitary gates comprising three distinct Gaussian gates, and a fourth one, the cubic gate, providing important insight on the role of non-Gaussianity.

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