Repeated quantum error correction on a continuously encoded qubit by real-time feedback

Abstract

Reliable quantum information processing in the face of errors is a major fundamental and technological challenge. Quantum error correction protects quantum states by encoding a logical quantum bit (qubit) in multiple physical qubits. To be compatible with universal fault-tolerant computations, it is essential that states remain encoded at all times and that errors are actively corrected. Here we demonstrate such active error correction on a continuously protected logical qubit using a diamond quantum processor. We encode the logical qubit in three long-lived nuclear spins, repeatedly detect phase errors by non-destructive measurements, and apply corrections by real-time feedback. The actively error-corrected qubit is robust against errors and encoded quantum superposition states are preserved beyond the natural dephasing time of the best physical qubit in the encoding. These results establish a powerful platform to investigate error correction under different types of noise and mark an important step towards fault-tolerant quantum information processing.

DOI: 10.1038/ncomms11526

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Cite this paper

@inproceedings{Cramer2016RepeatedQE, title={Repeated quantum error correction on a continuously encoded qubit by real-time feedback}, author={Joseph G Cramer and N Kalb and M. A. Rol and Bas Hensen and Machiel S. Blok and Matthew L. Markham and Daniel J. Twitchen and Russell B. Hanson and Tim H. Taminiau}, booktitle={Nature communications}, year={2016} }