Implementation of a three-qubit quantum error correction code in a cavity-QED setup

TL;DR

This paper proposes a scheme to implement a three-qubit quantum error correction code using Rydberg atoms interacting with microwave cavity fields, demonstrating effective correction of phase noise errors.

Contribution

It introduces a novel cavity-QED based implementation of the three-qubit quantum repetition code with encoding and decoding in separate microwave cavities.

Findings

Errors due to phase noise can be efficiently corrected.

The scheme is compatible with current cavity-QED technology.

Effective quantum error correction is achievable in this setup.

Abstract

The correction of errors is of fundamental importance for the development of contemporary computing devices and of robust communication protocols. In this paper we propose a scheme for the implementation of the three-qubit quantum repetition code, exploiting the interaction of Rydberg atoms with the quantized mode of a microwave cavity field. Quantum information is encoded within two circular Rydberg states of the atoms and encoding and decoding process are realized within two separate microwave cavities. We show that errors due to phase noise fluctuations could be efficiently corrected using a state-of-the-art apparatus.