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Quantum 2.0 Conference and Exhibition

Experimental demonstration of Gaussian boson sampling with displacement

Guillaume Thekkadath, S. Sempere-Llagostera, Bryn A. Bell, Raj B. Patel, M.S. Kim, Ian A. Walmsley

Published Jan 1, 2022• 1 citation
Publisher

Abstract

We inject squeezed vacuum and weak coherent light into a multiport interferometer and measure the output photon statistics. Our work explores the capabilities of a displacement field in Gaussian boson sampling.
DOI
10.1364/quantum.2022.qw4b.6

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It is strongly believed that the evolution of bosons undergoing arbitrary linear unitary transformations quickly becomes hard to predict using classical computers as we increase the number of particles and modes. Photons propagating in a multiport interferometer naturally solve this so-called boson sampling problem: sample the outputs of a multi-photon experiment in a linear-optical interferometer. This motivates the development of technologies that enable precise control of multiphoton interference in large interferometers.
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Gaussian boson sampling (GBS) is a quantum sampling task in which one has to draw samples from the photon-number distribution of a large-dimensional nonclassical squeezed state of light.In an effort to make this task intractable for a classical computer, experiments building GBS machines have mainly focused on increasing the dimensionality and squeezing strength of the nonclassical light.However, no experiment has yet demonstrated the ability to displace the squeezed state in phase space, which is generally required for practical applications of GBS.In this work, we build a GBS machine that achieves the displacement by injecting a laser beam alongside a two-mode squeezed vacuum state into a 15-mode interferometer.We focus on two new capabilities.Firstly, we use the displacement to reconstruct the multimode Gaussian state at the output of the interferometer.Our reconstruction technique is in situ and requires only three measurement settings regardless of the state dimension.Secondly, we study how the addition of classical laser light in our GBS machine affects the complexity of sampling its output photon statistics.We introduce and validate approximate semiclassical models that reduce the computational cost when a significant fraction of the detected light is classical.