Dissipation-induced continuous quantum error correction for superconducting circuits

TL;DR

This paper proposes a novel autonomous quantum error correction scheme for superconducting qubits using reservoir engineering, enabling continuous error correction without real-time syndrome analysis.

Contribution

It introduces a reservoir engineering-based AQEC protocol for superconducting circuits, specifically for a three-qubit bit-flip code, with analytical and numerical validation.

Findings

Effective interaction Hamiltonian engineered via continuous drives

Protocol evacuates entropy from bit-flip errors

Analysis of limitations on error correction rates

Abstract

Quantum error correction (QEC) is a crucial step towards long coherence times required for efficient quantum information processing (QIP). One major challenge in this direction concerns the fast real-time analysis of error syndrome measurements and the associated feedback control. Recent proposals on autonomous QEC (AQEC) have opened new perspectives to overcome this difficulty. Here, we design an AQEC scheme based on quantum reservoir engineering adapted to superconducting qubits. We focus on a three-qubit bit-flip code, where three transmon qubits are dispersively coupled to a few low-Q resonator modes. By applying only continuous-wave drives of fixed but well-chosen frequencies and amplitudes, we engineer an effective interaction Hamiltonian to evacuate the entropy created by eventual bit-flip errors. We provide a full analytical and numerical study of the protocol, while introducing the main limitations on the achievable error correction rates.