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Optimizing Stabilizer Parities for Improved Logical Qubit Memories.

Publication ,  Journal Article
Debroy, DM; Egan, L; Noel, C; Risinger, A; Zhu, D; Biswas, D; Cetina, M; Monroe, C; Brown, KR
Published in: Physical review letters
December 2021

We study variants of Shor's code that are adept at handling single-axis correlated idling errors, which are commonly observed in many quantum systems. By using the repetition code structure of the Shor's code basis states, we calculate the logical channel applied to the encoded information when subjected to coherent and correlated single qubit idling errors, followed by stabilizer measurement. Changing the signs of the stabilizer generators allows us to change how the coherent errors interfere, leading to a quantum error-correcting code which performs as well as a classical repetition code of equivalent distance against these errors. We demonstrate a factor of 3.78±1.20 improvement of the logical T2^{*} in a distance-3 logical qubit implemented on a trapped-ion quantum computer. Even-distance versions of our Shor-code variants are decoherence-free subspaces and fully robust to identical and independent coherent idling noise.

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Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

December 2021

Volume

127

Issue

24

Start / End Page

240501

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Debroy, D. M., Egan, L., Noel, C., Risinger, A., Zhu, D., Biswas, D., … Brown, K. R. (2021). Optimizing Stabilizer Parities for Improved Logical Qubit Memories. Physical Review Letters, 127(24), 240501. https://doi.org/10.1103/physrevlett.127.240501
Debroy, Dripto M., Laird Egan, Crystal Noel, Andrew Risinger, Daiwei Zhu, Debopriyo Biswas, Marko Cetina, Chris Monroe, and Kenneth R. Brown. “Optimizing Stabilizer Parities for Improved Logical Qubit Memories.Physical Review Letters 127, no. 24 (December 2021): 240501. https://doi.org/10.1103/physrevlett.127.240501.
Debroy DM, Egan L, Noel C, Risinger A, Zhu D, Biswas D, et al. Optimizing Stabilizer Parities for Improved Logical Qubit Memories. Physical review letters. 2021 Dec;127(24):240501.
Debroy, Dripto M., et al. “Optimizing Stabilizer Parities for Improved Logical Qubit Memories.Physical Review Letters, vol. 127, no. 24, Dec. 2021, p. 240501. Epmc, doi:10.1103/physrevlett.127.240501.
Debroy DM, Egan L, Noel C, Risinger A, Zhu D, Biswas D, Cetina M, Monroe C, Brown KR. Optimizing Stabilizer Parities for Improved Logical Qubit Memories. Physical review letters. 2021 Dec;127(24):240501.

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

December 2021

Volume

127

Issue

24

Start / End Page

240501

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences