Quantum error correction with higher Gottesman-Kitaev-Preskill codes: Minimal measurements and linear optics
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With a focus on fault tolerance, the authors propose multiple schemes to diagnose errors, or obtain syndrome information, in quantum error-correction codes. They show that when GKP codes are concatenated with a stabilizer code, the number of measurements needed to make a full error diagnosis is lower than previously thought. Their methods use simple linear optical operations combined with ``off-line'' squeezing, rather than the noisy in-line squeezing required by previous schemes.
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Such a concatenation requires entangling gates, which for GKP qudits can be realized with the same operations used for entangling GKP qubits.
“Such a concatenation requires entangling gates, which for GKP qudits can be realized with the same operations used for entangling GKP qubits20,53–55.”
From Quantum error correction of qudits beyond break-even (2025) · cites this paper as [54]
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- Authors
- Schmidt, F., & van Loock, P.
- Affiliations
- Johannes Gutenberg University Mainz (DE)
- ORCID
- Schmidt, Frank
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2022-04-20
- Volume
- 105
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 2469-9926
- 2469-9934
- OpenAlex
- W3207454018
- Cited by
- 20
- References
- 58
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 6 · 2023: 5
- FWCI
- 1.32
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Bundesministerium für Bildung und Forschung
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- Gottesman-Kitaev-Preskill code, quantum error correction, fault tolerance, syndrome measurement, stabilizer codes, concatenated codes, linear optics, continuous-variable quantum error correction
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