Autonomous Quantum Error Correction of Spin-Oscillator Hybrid Qubits

TL;DR

This paper introduces a measurement-free autonomous quantum error correction scheme for spin-oscillator hybrid qubits, enhancing hardware efficiency and simplifying error correction in quantum systems.

Contribution

It presents a novel Lindbladian-based approach that stabilizes hybrid qubits without measurements, compatible with existing experimental platforms like trapped ions.

Findings

Engineered Lindbladian creates an attractive steady-state for the code space.

The scheme simplifies system-bath coupling compared to traditional dissipation engineering.

Compatible with simple logical gates and demonstrated primitives in experimental platforms.

Abstract

We propose a novel measurement-free scheme for stabilizing a spin-oscillator hybrid qubit via autonomous quantum error correction. The engineered Lindbladian renders the code space into an attractive steady-state subspace, realized by coupling the storage mode to a rapidly cooled bath through a controlled beam-splitter and spin-dependent displacement interactions. The continuous variable-discrete variable hybrid approach to autonomous quantum error correction preserves the hardware efficiency of conventional dissipation engineering while simplifying the required system-bath coupling. The construction is compatible with simple logical gates and leverages primitives already demonstrated in experimental platforms, such as trapped-ion systems, suggesting a practical route to hardware-efficient, noise-biased logical qubits without repeated syndrome measurements and feedforward.