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Comparison of ancilla preparation and measurement procedures for the Steane [[7,1,3]] code on a model ion-trap quantum computer

Publication ,  Journal Article
Tomita, Y; Gutiérrez, M; Kabytayev, C; Brown, KR; Hutsel, MR; Morris, AP; Stevens, KE; Mohler, G
Published in: Physical Review A - Atomic, Molecular, and Optical Physics
October 30, 2013

We schedule the Steane [[7,1,3]] error correction on a model ion-trap architecture with ballistic transport. We compare the level-1 error rates for syndrome extraction using the Shor method of ancilla prepared in verified cat states to the DiVincenzo-Aliferis method without verification. The study examines how the quantum error correction circuit latency and error vary with the number of available ancilla and the choice of protocol for ancilla preparation and measurement. We find that, with few exceptions, the DiVincenzo-Aliferis method without cat-state verification outperforms the standard Shor method. We also find that an additional ancilla always reduces the latency but does not significantly change the error due to the high memory fidelity. © 2013 American Physical Society.

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Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

October 30, 2013

Volume

88

Issue

4

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Tomita, Y., Gutiérrez, M., Kabytayev, C., Brown, K. R., Hutsel, M. R., Morris, A. P., … Mohler, G. (2013). Comparison of ancilla preparation and measurement procedures for the Steane [[7,1,3]] code on a model ion-trap quantum computer. Physical Review A - Atomic, Molecular, and Optical Physics, 88(4). https://doi.org/10.1103/PhysRevA.88.042336
Tomita, Y., M. Gutiérrez, C. Kabytayev, K. R. Brown, M. R. Hutsel, A. P. Morris, K. E. Stevens, and G. Mohler. “Comparison of ancilla preparation and measurement procedures for the Steane [[7,1,3]] code on a model ion-trap quantum computer.” Physical Review A - Atomic, Molecular, and Optical Physics 88, no. 4 (October 30, 2013). https://doi.org/10.1103/PhysRevA.88.042336.
Tomita Y, Gutiérrez M, Kabytayev C, Brown KR, Hutsel MR, Morris AP, et al. Comparison of ancilla preparation and measurement procedures for the Steane [[7,1,3]] code on a model ion-trap quantum computer. Physical Review A - Atomic, Molecular, and Optical Physics. 2013 Oct 30;88(4).
Tomita, Y., et al. “Comparison of ancilla preparation and measurement procedures for the Steane [[7,1,3]] code on a model ion-trap quantum computer.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 88, no. 4, Oct. 2013. Scopus, doi:10.1103/PhysRevA.88.042336.
Tomita Y, Gutiérrez M, Kabytayev C, Brown KR, Hutsel MR, Morris AP, Stevens KE, Mohler G. Comparison of ancilla preparation and measurement procedures for the Steane [[7,1,3]] code on a model ion-trap quantum computer. Physical Review A - Atomic, Molecular, and Optical Physics. 2013 Oct 30;88(4).

Published In

Physical Review A - Atomic, Molecular, and Optical Physics

DOI

EISSN

1094-1622

ISSN

1050-2947

Publication Date

October 30, 2013

Volume

88

Issue

4

Related Subject Headings

  • General Physics
  • 03 Chemical Sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences