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

arXiv
Authors: Ulysse Chabaud, Giulia Ferrini, Frédéric Grosshans, Damian Markham

Year

2020

Paper ID

19611

Status

Preprint

Abstract Read

~2 min

Abstract Words

83

Citations

N/A

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.

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  • We consider Gaussian quantum circuits supplemented with non-Gaussian input states and derive sufficient conditions for efficient classical strong simulation of these circuits.

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