Quantum state transfer in a disordered one-dimensional lattice

TL;DR

This paper explores how applying minimal control signals at the ends of a disordered one-dimensional lattice can enable perfect quantum state transfer despite disorder, highlighting the interplay between control and disorder in quantum transport.

Contribution

It demonstrates that end-only control signals can achieve perfect quantum state transfer in disordered lattices up to a certain disorder threshold.

Findings

Control signals enable perfect transfer at moderate disorder levels.

Transfer fails at high disorder strengths.

Results elucidate the balance between disorder effects and control in quantum systems.

Abstract

We investigate the effect of disorder on the transfer of quantum states across a one-dimensional lattice with varying levels of control resources. We find that the application of properly designed control signals, even when applied only to the two ends of the lattice, allows perfect state transfer up to disorder strengths that would not allow a generic quantum state to propagate the length of the lattice. At sufficiently large disorder strengths, however, the local control signals fail to send the quantum state from one end of the system to the other end. Our results shed light on the interplay between disorder and controlled transport in one-dimensional systems.