Error-correcting Bacon-Shor code with continuous measurement of noncommuting operators
Abstract
We analyze the continuous operation of the nine-qubit error correcting Bacon-Shor code with all noncommuting gauge operators measured at the same time. The error syndromes are continuously monitored using cross-correlations of sets of three measurement signals. We calculate the logical error rates due to $$X$$, $$Y$$ and $$Z$$ errors in the physical qubits and compare the continuous implementation with the discrete operation of the code. We find that both modes of operation exhibit similar performances when the measurement strength from continuous measurements is sufficiently strong. Here, we also estimate the value of the crossover error rate of the physical qubits, below which continuous error correction gives smaller logical error rates. Continuous operation has the advantage of passive monitoring of errors and avoids the need for additional circuits involving ancilla qubits.
- Authors:
-
[1];
- Univ. of California, Berkeley, CA (United States)
- Google Inc., Venice, CA (United States); Univ. of California, Riverside, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); US Army Research Office (ARO)
- OSTI Identifier:
- 1633297
- Grant/Contract Number:
- AC02-05CH11231; W911NF-17-C-0050
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 2; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Atalaya, Juan, Korotkov, Alexander N., and Whaley, K. Birgitta. Error-correcting Bacon-Shor code with continuous measurement of noncommuting operators. United States: N. p., 2020.
Web. doi:10.1103/physreva.102.022415.
Atalaya, Juan, Korotkov, Alexander N., & Whaley, K. Birgitta. Error-correcting Bacon-Shor code with continuous measurement of noncommuting operators. United States. https://doi.org/10.1103/physreva.102.022415
Atalaya, Juan, Korotkov, Alexander N., and Whaley, K. Birgitta. Thu .
"Error-correcting Bacon-Shor code with continuous measurement of noncommuting operators". United States. https://doi.org/10.1103/physreva.102.022415. https://www.osti.gov/servlets/purl/1633297.
@article{osti_1633297,
title = {Error-correcting Bacon-Shor code with continuous measurement of noncommuting operators},
author = {Atalaya, Juan and Korotkov, Alexander N. and Whaley, K. Birgitta},
abstractNote = {We analyze the continuous operation of the nine-qubit error correcting Bacon-Shor code with all noncommuting gauge operators measured at the same time. The error syndromes are continuously monitored using cross-correlations of sets of three measurement signals. We calculate the logical error rates due to $X$, $Y$ and $Z$ errors in the physical qubits and compare the continuous implementation with the discrete operation of the code. We find that both modes of operation exhibit similar performances when the measurement strength from continuous measurements is sufficiently strong. Here, we also estimate the value of the crossover error rate of the physical qubits, below which continuous error correction gives smaller logical error rates. Continuous operation has the advantage of passive monitoring of errors and avoids the need for additional circuits involving ancilla qubits.},
doi = {10.1103/physreva.102.022415},
journal = {Physical Review A},
number = 2,
volume = 102,
place = {United States},
year = {Thu Aug 20 00:00:00 EDT 2020},
month = {Thu Aug 20 00:00:00 EDT 2020}
}
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