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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.
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Preprints, Working Papers, ...
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https://hal.sorbonne-universite.fr/hal-02997001
Contributor : Ulysse Chabaud <>
Submitted on : Monday, November 9, 2020 - 8:16:28 PM
Last modification on : Friday, January 8, 2021 - 5:46:04 PM

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  • HAL Id : hal-02997001, version 1
  • ARXIV : 2010.14363

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Ulysse Chabaud, Giulia Ferrini, Frédéric Grosshans, Damian Markham. Classical simulation of Gaussian quantum circuits with non-Gaussian input states. 2020. ⟨hal-02997001⟩

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