Quantum stabilizer codes embedding qubits into qudits
Open accessAbstract
We study, by means of the stabilizer formalism, a quantum error correcting code which is alternative to the standard block codes since it embeds a qubit into a qudit. The code exploits the noncommutative geometry of discrete phase space to protect the qubit against both amplitude and phase errors. The performance of this code is evaluated on Weyl channels by means of the entanglement fidelity as a function of the error probability. A comparison with standard block codes, like five- and seven-qubit stabilizer codes, shows its superiority.
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By embedding a logical qubit within a bosonic logical qudit, multiple layers of error correction can be implemented inside a single oscillator.
“By embedding a logical qubit within a bosonic logical qudit20,56–58, multiple layers of error correction can be implemented inside a single oscillator.”
From Quantum error correction of qudits beyond break-even (2025) · cites this paper as [56]
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References 29 · Cited by 40
- Authors
- Cafaro, C., Maiolini, F., & Mancini, S.
- Affiliations
- Università di Camerino (IT)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2012-08-08
- Volume
- 86
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2041507772
- Cited by
- 40
- References
- 29
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 7 · 2023: 5 · 2022: 5 · 2021: 7 · 2020: 3 · 2018: 1 · 2016: 2 · 2015: 2 · 2014: 2
- FWCI
- 1.26
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Unicam Scientific Publications (University of Camerino) (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Coding theory and cryptography
- Keywords
- quantum error-correcting codes, stabilizer codes, qudits, discrete phase space, noncommutative geometry, amplitude and phase errors, entanglement fidelity, block codes
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