Quantum simulation of many-body spin interactions with ultracold polar molecules

TL;DR

This paper proposes a digital quantum simulation architecture using ultracold polar molecules in optical lattices to emulate complex many-body spin interactions, including the Kitaev toric code, with potential for experimental realization.

Contribution

It introduces a novel approach combining ultracold polar molecules and digital quantum simulation to efficiently model many-body spin systems like the Kitaev toric code.

Findings

Design of a quantum simulation architecture for many-body spin interactions

Analysis of experimental requirements for implementation

Potential to simulate both coherent and dissipative dynamics

Abstract

We present an architecture for the quantum simulation of many-body spin interactions based on ultracold polar molecules trapped in optical lattices. Our approach employs digital quantum simulation, i.e., the dynamics of the simulated system is reproduced by the quantum simulator in a stroboscopic pattern, and allows to simulate both coherent and dissipative dynamics. We discuss the realization of Kitaev's toric code Hamiltonian, a paradigmatic model involving four-body interactions, and we analyze the requirements for an experimental implementation.