Efficient Quantum Error Correction of Dephasing Induced by a Common Fluctuator
Name
PhysRevLett.124.020504.pdf
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300.32 KB
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Adobe PDF
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390b2645b5ff69f9e46c6e70a9ffbf18
Author(s)
Layden, David
Chen, Mo
Cappellaro, Paola
Date Issued
January 17, 2020
Journal
Physical review letters
Publisher
American Physical Society
Citation
Layde, David, Mo Chen and Paola Cappellaro et al. “Efficient Quantum Error Correction of Dephasing Induced by a Common Fluctuator.” Physical review letters 124 (2020): 020504 © 2020 The Author(s)
Version
Final published version
Abstract
Quantum error correction is expected to be essential in large-scale quantum technologies. However, the substantial overhead of qubits it requires is thought to greatly limit its utility in smaller, near-term devices. Here we introduce a new family of special-purpose quantum error-correcting codes that offer an exponential reduction in overhead compared to the usual repetition code. They are tailored for a common and important source of decoherence in current experiments, whereby a register of qubits is subject to phase noise through coupling to a common fluctuator, such as a resonator or a spin defect. The smallest instance encodes one logical qubit into two physical qubits, and corrects decoherence to leading-order using a constant number of one- and two-qubit operations. More generally, while the repetition code on n qubits corrects errors to order t^{O(n)}, with t the time between recoveries, our codes correct to order t^{O(2^{n})}. Moreover, they are robust to model imperfections in small- and intermediate-scale devices, where they already provide substantial gains in error suppression. As a result, these hardware-efficient codes open a potential avenue for useful quantum error correction in near-term, pre-fault tolerant devices.
MIT Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Massachusetts Institute of Technology. Department of Mechanical Engineering
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.124.020504
