Recovering quantum information through partial access to the environment

TL;DR

This paper explores a feedback-based method for correcting errors in multipartite quantum systems by using partial environmental information, focusing on correlated errors and assessing performance via entanglement fidelity.

Contribution

It introduces a partial control scheme for quantum error correction that leverages local environmental information to recover global quantum states, especially in correlated error scenarios.

Findings

Effective correction of depolarizing errors demonstrated.

Partial access to environment improves error correction in correlated errors.

Performance quantified using entanglement fidelity.

Abstract

We investigate the possibility of correcting errors occurring on a multipartite system through a feedback mechanism that acquires information from partial access to the environment. A partial control scheme of this kind might be useful when dealing with correlated errors. In fact, in such a case, it could be enough to gather local information to decide what kind of global recovery to perform. Then, we apply this scheme to the depolarizing and correlated errors, and quantify its performance by means of the entanglement fidelity.