Phase-engineered bosonic quantum codes
Abstract
Continuous-variable systems protected by bosonic quantum codes have emerged as a promising platform for quantum information. To date, the design of code words has centered on optimizing the state occupation in the relevant basis to generate the distance needed for error correction. Here, we show tuning the phase degree of freedom in the design of code words can affect, and potentially enhance, the protection against Markovian errors that involve excitation exchange with the environment. As illustrations, we first consider phase engineering bosonic codes with uniform spacing in the Fock basis that correct excitation loss with a Kerr unitary and show that these modified codes feature destructive interference between error code words and, with an adapted "two-level" recovery, the error protection is significantly enhanced. We then study protection against energy decay with the presence of mode nonlinearities and analyze the role of phase for optimal code designs. We extend the principle of phase engineering to bosonic codes defined in other bases and multiqubit codes, demonstrating its broad applicability in quantum error correction.
Additional Information
© 2021 American Physical Society. (Received 1 January 2021; accepted 2 June 2021; published 29 June 2021) We thank L. Pryadko, P. Faist, M. Zhang, S. Zhou, and W. Ma for helpful discussions. We acknowledge support from the ARL-CDQI (Grants No. W911NF-15-2-0067 and No. W911NF-18-2-0237), ARO (Grants No. W911NF-18-1-0020 and No. W911NF-18-1-0212), ARO MURI (Grant No. W911NF-16-1-0349), AFOSR MURI (Grants No. FA9550-14-1-0052 and No. FA9550-15-1-0015), DOE (Grants No. DE-SC0019406), NSF (Grant No. EFMA-1640959), and the Packard Foundation (Grant No. 2013-39273). This work was done before K.N. joined AWS Center for Quantum Computing.Attached Files
Published - PhysRevA.103.062427.pdf
Submitted - 1901.05358.pdf
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Additional details
- Alternative title
- Designing good bosonic quantum codes via creating destructive interference
- Eprint ID
- 109764
- Resolver ID
- CaltechAUTHORS:20210709-212642251
- Army Research Laboratory
- W911NF-15-2-0067
- Army Research Laboratory
- W911NF-18-2-0237
- Army Research Office (ARO)
- W911NF-18-1-0020
- Army Research Office (ARO)
- W911NF-18-1-0212
- Army Research Office (ARO)
- W911NF-16-1-0349
- Air Force Office of Scientific Research (AFOSR)
- FA9550-14-1-0052
- Air Force Office of Scientific Research (AFOSR)
- FA9550-15-1-0015
- Department of Energy (DOE)
- DE-SC0019406
- NSF
- EFMA-1640959
- David and Lucile Packard Foundation
- 2013-39273
- Created
-
2021-07-09Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics