Quantum State Transfer in Interacting, Multiple-Excitation Systems

TL;DR

This paper introduces Monte Carlo methods to identify Hamiltonians capable of high-fidelity quantum state transfer in complex interacting systems, with potential applications in optical and condensed matter platforms.

Contribution

It presents a novel Monte Carlo approach for designing Hamiltonians that enable efficient quantum state transfer in multi-excitation, interacting systems.

Findings

Monte Carlo techniques effectively discover high-fidelity QST Hamiltonians.

Benchmarking on optical cavity-emitter arrays demonstrates practical applicability.

Connections established between QST Hamiltonians and condensed matter models like Hubbard and Anderson.

Abstract

Quantum state transfer (QST) describes the coherent passage of quantum information from one node in a network to another. Experiments on QST span a diverse set of platforms and currently report transport across up to tens of nodes in times of several hundred nanoseconds with fidelities that can approach 90% or more. Theoretical studies examine both the lossless time evolution associated with a given (Hermitian) lattice Hamiltonian and methods based on the master equation that allows for losses. In this paper, we describe Monte Carlo techniques which enable the discovery of a Hamiltonian that gives high-fidelity QST. We benchmark our approach in geometries appropriate to coupled optical cavity-emitter arrays and discuss connections to condensed matter Hamiltonians of localized orbitals coupled to conduction bands. The resulting Jaynes-Cummings-Hubbard and periodic Anderson models can, in principle, be engineered in appropriate hardware to give efficient QST.