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Handling leakage with subsystem codes

Publication ,  Journal Article
Brown, NC; Newman, M; Brown, KR
Published in: New Journal of Physics
July 30, 2019

Leakage is a particularly damaging error that occurs when a qubit state falls out of its two-level computational subspace. Compared to independent depolarizing noise, leaked qubits may produce many more configurations of harmful correlated errors during error-correction. In this work, we investigate different local codes in the low-error regime of a leakage gate error model. When restricting to bare-Ancilla extraction, we observe that subsystem codes are good candidates for handling leakage, as their locality can limit damaging correlated errors. As a case study, we compare subspace surface codes to the subsystem surface codes introduced by Bravyi et al. In contrast to depolarizing noise, subsystem surface codes outperform same-distance subspace surface codes below error rates as high as 7.5 × 10-4 while offering better per-qubit distance protection. Furthermore, we show that at low to intermediate distances, Bacon-Shor codes offer better per-qubit error protection against leakage in an ion-Trap motivated error model below error rates as high as 1.2 × 10-3. For restricted leakage models, this advantage can be extended to higher distances by relaxing to unverified two-qubit cat state extraction in the surface code. These results highlight an intrinsic benefit of subsystem code locality to error-corrective performance.

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Published In

New Journal of Physics

DOI

ISSN

1367-2630

Publication Date

July 30, 2019

Volume

21

Issue

7

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 02 Physical Sciences
 

Citation

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Brown, N. C., Newman, M., & Brown, K. R. (2019). Handling leakage with subsystem codes. New Journal of Physics, 21(7). https://doi.org/10.1088/1367-2630/ab3372
Brown, N. C., M. Newman, and K. R. Brown. “Handling leakage with subsystem codes.” New Journal of Physics 21, no. 7 (July 30, 2019). https://doi.org/10.1088/1367-2630/ab3372.
Brown NC, Newman M, Brown KR. Handling leakage with subsystem codes. New Journal of Physics. 2019 Jul 30;21(7).
Brown, N. C., et al. “Handling leakage with subsystem codes.” New Journal of Physics, vol. 21, no. 7, July 2019. Scopus, doi:10.1088/1367-2630/ab3372.
Brown NC, Newman M, Brown KR. Handling leakage with subsystem codes. New Journal of Physics. 2019 Jul 30;21(7).
Journal cover image

Published In

New Journal of Physics

DOI

ISSN

1367-2630

Publication Date

July 30, 2019

Volume

21

Issue

7

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 02 Physical Sciences