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Tailored Codes for Small Quantum Memories

Author(s)
Robertson, Alan; Granade, Christopher; Bartlett, Stephen D.; Flammia, Steven Thomas
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Abstract
We demonstrate that small quantum memories, realized via quantum error correction in multiqubit devices, can benefit substantially by choosing a quantum code that is tailored to the relevant error model of the system. For a biased noise model, with independent bit and phase flips occurring at different rates, we show that a single code greatly outperforms the well-studied Steane code across the full range of parameters of the noise model, including for unbiased noise. In fact, this tailored code performs almost optimally when compared with 10 000 randomly selected stabilizer codes of comparable experimental complexity. Tailored codes can even outperform the Steane code with realistic experimental noise, and without any increase in the experimental complexity, as we demonstrate by comparison in the observed error model in a recent seven-qubit trapped ion experiment.
Date issued
2017-12
URI
http://hdl.handle.net/1721.1/112980
Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Journal
Physical Review Applied
Publisher
American Physical Society
Citation
Robertson, Alan et al. "Tailored Codes for Small Quantum Memories." Physical Review Applied 8, 6 (December 2017): 064004 © 2017 American Physical Society
Version: Final published version
ISSN
2331-7019

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