Dynamical Casimir Effect for Gaussian Boson Sampling

Joonsuk Huh,Borja Peropadre,Carlos Sabín

doi:10.1038/s41598-018-22086-2

Joonsuk Huh, Borja Peropadre + Show 1 more

Open Access

https://doi.org/10.1038/s41598-018-22086-2

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Abstract

We show that the Dynamical Casimir Effect (DCE), realized on two multimode coplanar waveg-uide resonators, implements a gaussian boson sampler (GBS). The appropriate choice of the mirror acceleration that couples both resonators translates into the desired initial gaussian state and many-boson interference in a boson sampling network. In particular, we show that the proposed quantum simulator naturally performs a classically hard task, known as scattershot boson sampling. Our result unveils an unprecedented computational power of DCE, and paves the way for using DCE as a resource for quantum simulation.

Highlights

The Dynamical Casimir Effect (DCE) consists in the generation of photons out of the vacuum of a quantum field by means of the abrupt modulation of boundary conditions -e.g. a mirror oscillating at speeds comparable to the speed of light
We can think of the DCE as a particular instance of multimode parametric amplification induced by the modulation of boundary conditions, as we shall see in the following
We propose a setup consisting of two superconducting transmission line resonators with different energy spectra that are coupled by a superconducting quantum interferometric device (SQUID)

Summary

Introduction

The Dynamical Casimir Effect (DCE) consists in the generation of photons out of the vacuum of a quantum field by means of the abrupt modulation of boundary conditions -e.g. a mirror oscillating at speeds comparable to the speed of light. Small-scale continuous variable cluster states of four electromagnetic field modes have been shown to be in principle possible[7] While this represents a preliminary step for a continuous variable one-way quantum computer, its scalability has not yet been demonstrated, the usefulness of DCE for quantum computing tasks remains unclear. BS has recently gained a great deal of attention, as it solves a tailor-made problem–the problem of sampling from the output distribution of photons in a linear-optics network–that is widely believed to be intractable in any classical device It represents a promising avenue for proving the long-sought quantum supremacy[9]. We show that suitable choices of the SQUID pumping are able to implement the operations of a GBS -namely two-mode squeezers, beam-splitters and phase shifters In this way, we show how the DCE can be exploited as a quantum simulator of GBS. We will discuss how DCE is by itself a physical effect that is hard to simulate on a classical computer

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