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Simulability of non-classical continuous-variable quantum circuits
- Publication Year :
- 2024
-
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.<br />Comment: 16 pages, 5 figures
- Subjects :
- Quantum Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2410.09226
- Document Type :
- Working Paper