Perfect Coding for Dephased Quantum State Transfer

TL;DR

This paper introduces a new family of quantum error correcting codes designed to perfectly correct phase errors during quantum state transfer, optimizing the process and identifying limitations against depolarising noise.

Contribution

The authors develop perfect quantum error correcting codes specifically for phase errors in quantum state transfer, highlighting their effectiveness and limitations.

Findings

Codes correct phase errors at any time on any qubit

Optimal operating regime for corrected state transfer identified

Depolarising noise cannot be corrected by these codes

Abstract

We develop a family of perfect quantum error correcting codes that correct for phase errors that arise on any qubit, at any time, during a perfect state transfer experiment. These ensure that we find the optimal operating regime for corrected state transfer. For a specific class of system, we further show that while dephasing noise can be corrected, depolarising noise cannot.