Classical simulation of Gaussian quantum circuits with non-Gaussian input states
Journal article, 2021

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.

Author

Ulysse Chabaud

Sorbonne University

Paris Descartes University

Giulia Ferrini

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Frederic Grosshans

Sorbonne University

Damian Markham

University of Tokyo

Sorbonne University

PHYSICAL REVIEW RESEARCH

2643-1564 (eISSN)

Vol. 3 3 033018

Subject Categories

Other Physics Topics

Probability Theory and Statistics

Mathematical Analysis

DOI

10.1103/PhysRevResearch.3.033018

More information

Latest update

7/27/2021