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Efficient Quantum Error Correction of Dephasing Induced by a Common Fluctuator

Author(s)
Layden, David; Chen, Mo; Cappellaro, Paola
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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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.
Date issued
2020-01-17
URI
https://hdl.handle.net/1721.1/125373
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
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
ISSN
2331-7019

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