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Journal Articles Physical Review Research Year : 2021

Classical simulation of Gaussian quantum circuits with non-Gaussian input states

Abstract

We consider Gaussian quantum circuits supplemented with non-Gaussian input states and derive sufficient conditions for efficient classical strong simulation of these circuits. In particular, we generalise the stellar representation of continuous-variable quantum states to the multimode setting and relate the stellar rank of the input non-Gaussian states, a recently introduced measure of non- Gaussianity, to the cost of evaluating classically the output probability densities of these circuits. Our results have consequences for the strong simulability of a large class of near-term continuous-variable quantum circuits.

Dates and versions

hal-02997001 , version 1 (09-11-2020)

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Ulysse Chabaud, Giulia Ferrini, Frédéric Grosshans, Damian Markham. Classical simulation of Gaussian quantum circuits with non-Gaussian input states. Physical Review Research, 2021, 3 (3), pp.033018. ⟨10.1103/PhysRevResearch.3.033018⟩. ⟨hal-02997001⟩
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