Measurement-free quantum error correction optimized for biased noise

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.

💡 Research Summary

This paper presents a measurement‑free quantum error‑correction (QEC) framework specifically tailored to the biased noise that dominates neutral‑atom platforms employing Rydberg interactions. The authors assume that two‑qubit and multi‑qubit entangling gates primarily introduce Pauli‑Z (phase) errors, while single‑qubit operations are comparatively clean. Leveraging this bias, they encode logical qubits in the