Measurement-free quantum error correction optimized for biased noise

TL;DR

This paper develops optimized measurement-free quantum error correction protocols tailored for biased noise environments, particularly suited for neutral atom platforms, enhancing logical qubit fidelity without measurements.

Contribution

It introduces novel measurement-free error correction schemes optimized for biased noise, improving robustness and error suppression in neutral atom quantum computing.

Findings

Protocols reduce logical error rates significantly.

Enhanced robustness to single-qubit gate errors.

Break-even point surpasses fully fault-tolerant schemes.

Abstract

In this paper, we derive optimized measurement-free protocols for quantum error correction and the implementation of a universal gate set optimized for an error model that is noise biased . The noise bias is adapted for neutral atom platforms, where two- and multi-qubit gates are realized with Rydberg interactions and are thus expected to be the dominating source of noise. Careful design of the gates allows to further reduce the noise model to Pauli-Z errors. In addition, the presented circuits are robust to arbitrary single-qubit gate errors, and we demonstrate that the break-even point can be significantly improved compared to fully fault-tolerant measurement-free schemes. The obtained logical qubits with their suppressed error rates on logical gate operations can then be used as building blocks in a first step of error correction in order to push the effective error rates below the threshold of a fully fault-tolerant and scalable quantum error correction scheme.