Digital quantum simulation of quantum gravitational entanglement with IBM quantum computers

TL;DR

This paper demonstrates the digital quantum simulation of gravitationally induced entanglement between quantum harmonic oscillators using IBM quantum computers, showcasing a novel approach to studying quantum gravity effects.

Contribution

It introduces a boson-qubit mapping and a digital gate decomposition tailored for IBM devices to simulate gravitational entanglement phenomena.

Findings

Successful simulation of gravitational entanglement effects

High-fidelity results achieved with error mitigation and post-selection

Accessed parameter regimes beyond direct experimental reach

Abstract

We report the digital quantum simulation of a hamiltonian involved in the generation of quantum entanglement by gravitational means. In particular, we focus on a pair of quantum harmonic oscillators, whose interaction via a quantum gravitational field generates single-mode squeezing in both modes at the same time, a non-standard process in quantum optics. We perform a boson-qubit mapping and a digital gate decomposition specific for IBM quantum devices. We use error mitigation and post-selection to achieve high-fidelity, accessing a parameter regime out of direct experimental reach.