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Quantum-enhanced measurements hold the promise to improve high-precisionsensing ranging from the definition of time standards to the determination offundamental constants of nature. However, quantum sensors lose theirsensitivity in the presence of noise. To protect them, the use of quantum errorcorrecting codes has been proposed. Trapped ions are an excellent technologicalplatform for both quantum sensing and quantum error correction. Here we presenta quantum error correction scheme that harnesses dissipation to stabilize atrapped-ion qubit. In our approach, always-on couplings to an engineeredenvironment protect the qubit against spin- or phase flips. Our dissipativeerror correction scheme operates in a fully autonomous manner without the needto perform measurements or feedback operations. We show that the resultingenhanced coherence time translates into a significantly enhanced precision forquantum measurements. Our work constitutes a stepping stone towards theparadigm of self-correcting quantum information processing.

Autonomous Quantum Error Correction and Application to Quantum Sensing with Trapped Ions