Adaptively correcting quantum errors with entanglement

TL;DR

This paper introduces an adaptive entanglement-assisted quantum error-correcting protocol that efficiently balances correction of phase and bit errors, optimizing performance in asymmetric error environments with polynomial-time decoding.

Contribution

It develops a novel entanglement-assisted QECC framework that adaptively trades off error correction capabilities between phase and bit errors based on current error asymmetry.

Findings

Achieves high error correction performance in both symmetric and asymmetric error scenarios.

Requires only one ebit regardless of error asymmetry.

Decodes in polynomial time.

Abstract

Contrary to the assumption that most quantum error-correcting codes (QECC) make, it is expected that phase errors are much more likely than bit errors in physical devices. By employing the entanglement-assisted stabilizer formalism, we develop a new kind of error-correcting protocol which can flexibly trade error correction abilities between the two types of errors, such that high error correction performance is achieved both in symmetric and in asymmetric situations. The characteristics of the QECCs can be optimized in an adaptive manner during information transmission. The proposed entanglement-assisted QECCs require only one ebit regardless of the degree of asymmetry at a given moment and can be decoded in polynomial time.