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Hidden Inverses: Coherent Error Cancellation at the Circuit Level

Publication ,  Journal Article
Zhang, B; Majumder, S; Leung, PH; Crain, S; Wang, Y; Fang, C; Debroy, DM; Kim, J; Brown, KR
Published in: Physical Review Applied
March 1, 2022

Coherent gate errors are a concern in many proposed quantum-computing architectures. Here, we show that certain coherent errors can be reduced by a local optimization that chooses between two forms of the same Hermitian and unitary quantum gate. We refer to this method as hidden inverses, and it relies on constructing the same gate from either one sequence of physical operations or the inverted sequence of inverted operations. We use parity-controlled Z rotations as our model circuit and numerically show the utility of hidden inverses as a function of circuit width n. We experimentally demonstrate the effectiveness for n=2 and n=4 qubits in a trapped-ion quantum computer. We numerically compare the method to other gate-level compilations for reducing coherent errors.

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Published In

Physical Review Applied

DOI

EISSN

2331-7019

Publication Date

March 1, 2022

Volume

17

Issue

3

Related Subject Headings

  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

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Zhang, B., Majumder, S., Leung, P. H., Crain, S., Wang, Y., Fang, C., … Brown, K. R. (2022). Hidden Inverses: Coherent Error Cancellation at the Circuit Level. Physical Review Applied, 17(3). https://doi.org/10.1103/PhysRevApplied.17.034074
Zhang, B., S. Majumder, P. H. Leung, S. Crain, Y. Wang, C. Fang, D. M. Debroy, J. Kim, and K. R. Brown. “Hidden Inverses: Coherent Error Cancellation at the Circuit Level.” Physical Review Applied 17, no. 3 (March 1, 2022). https://doi.org/10.1103/PhysRevApplied.17.034074.
Zhang B, Majumder S, Leung PH, Crain S, Wang Y, Fang C, et al. Hidden Inverses: Coherent Error Cancellation at the Circuit Level. Physical Review Applied. 2022 Mar 1;17(3).
Zhang, B., et al. “Hidden Inverses: Coherent Error Cancellation at the Circuit Level.” Physical Review Applied, vol. 17, no. 3, Mar. 2022. Scopus, doi:10.1103/PhysRevApplied.17.034074.
Zhang B, Majumder S, Leung PH, Crain S, Wang Y, Fang C, Debroy DM, Kim J, Brown KR. Hidden Inverses: Coherent Error Cancellation at the Circuit Level. Physical Review Applied. 2022 Mar 1;17(3).

Published In

Physical Review Applied

DOI

EISSN

2331-7019

Publication Date

March 1, 2022

Volume

17

Issue

3

Related Subject Headings

  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences