Abstract

We propose the simulation of quantum-optical systems in the ultrastrong-coupling regime using a variational quantum algorithm. More precisely, we introduce a short-depth variational form to prepare the groundstate of the multimode Dicke model on a quantum processor and present proof-of-principle results obtained via cloud access to an IBM device. We moreover provide an algorithm for characterizing the groundstate by Wigner state tomography. Our work is a first step towards digital quantum simulation of quantum-optical systems with potential applications to the spin-boson, Kondo and Jahn-Teller models.

Highlights

  • Quantum simulation is one promising application of quantum processors which aims to circumvent the limitations of classical computers at simulating matter

  • Many other realizations of what is known as variational quantum algorithm (VQA) have appeared [2,3,4,5]

  • [2,3,4,5] and optimization [8], the applicability of VQAs to other domains is a subject of debate and interest [9,10]

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Summary

INTRODUCTION

Quantum simulation is one promising application of quantum processors which aims to circumvent the limitations of classical computers at simulating matter. Provided that g is greater than the decoherence rates of the atom and the cavity, this regime is referred to as strong coupling, and it is widely exploited for quantum-information processing purposes [17]. In the large-g limit, the mean cavity-mode photon number and its quantum fluctuations become large enough to make the numerical simulation of many-particle systems difficult or unpractical. This motivates the search for efficient analytical and numerical methods [11,12,13,21,22,23,24] and quantum-simulation algorithms [14,15,19,25,26,27]

POLARON VARIATIONAL FORM
VARIATIONAL QUANTUM ALGORITHM
STATE TOMOGRAPHY AND THE EFFECT OF NOISE
CONCLUSION AND OUTLOOK
Polaron transformation for the multimode quantum Rabi Hamiltonian
Quantum-circuit compilation of the polaron variational form
VQA simulations with different hardware-noise levels
Simulations on the quantum processor
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