Quantum Simulations of Loop Quantum Gravity

TL;DR

This paper reviews recent advances in quantum simulation techniques for Loop Quantum Gravity, highlighting the use of various quantum computing platforms to model complex quantum space-time geometries.

Contribution

It provides a comprehensive review of three state-of-the-art quantum simulation approaches for LQG using different quantum hardware technologies.

Findings

Superconducting qubit simulations of LQG states

Linear optical qubit implementations for LQG

NMR-based quantum simulations of LQG

Abstract

Loop Quantum Gravity (LQG) is one of the leading approaches to unify quantum physics and General Relativity (GR). The Hilbert space of LQG is spanned by spin-networks which describe the local geometry of quantum space-time. Simulation of LQG spin-network states and their dynamics is classically intractable and is widely believed to fall in the Bounded Quantum Polynomial (BQP) time complexity class. There have been many recent attempts to simulate these states using novel and off the shelf quantum computing technologies. In this article, we review three such efforts which utilize superconducting qubits, linear optical qubits and Nuclear Magnetic Resonance (NMR) qubits respectively. The articles chosen for this review represent state of the art in quantum simulations of LQG.