Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions

TL;DR

This paper introduces a scalable quantum simulation method for complex interacting fermion lattice models using trapped ions, enabling efficient study of systems difficult for classical computers.

Contribution

It presents a novel approach to simulate many-body fermionic systems with arbitrary interactions and dimensions using trapped ions, employing a polynomial-resource protocol.

Findings

Efficient simulation of nonlinear fermionic interactions in arbitrary dimensions.

Mapping fermionic operators to nonlocal spin operators for simulation.

Protocol employs polynomial resources, making large-scale simulations feasible.

Abstract

We propose a method of simulating efficiently many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily distant couplings. We map products of fermionic operators onto nonlocal spin operators and decompose the resulting dynamics in efficient steps with Trotter methods, yielding an overall protocol that employs only polynomial resources. The proposed scheme can be relevant in a variety of fields as condensed-matter or high-energy physics, where quantum simulations may solve problems intractable for classical computers.