Tailored Codes for Small Quantum Memories
Name
PhysRevApplied.8.064004.pdf
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223.36 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Robertson, Alan
Granade, Christopher
Bartlett, Stephen D.
Flammia, Steven Thomas
Date Issued
December 2017
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
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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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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DOI of Published Version
https://doi.org/10.1103/PhysRevApplied.8.064004
