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Quantum spherical codes

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Jain, Shubham P., Iosue, Joseph T., Barg, Alexander, Albert, Victor V.·2024·Nature Physics
DOI 10.1038/s41567-024-02496-y
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  • Many multi-mode cat-state generalizations boast superior performance compared to trivial multi-mode generalizations based on independent copies of single-mode codes or simple concatenation schemes.

    “Many of them boast superior performance compared to trivial multi-mode generalizations based on independent copies of single-mode codes or simple concatenation schemes, and have opened up fascinating new directions in bosonic coding theory.”

    From Quantum error correction and fault tolerance: A comprehensive tutorial (2026) · cites this paper as [157]

    In ‘Overall advantage of a qudit encoding’ (page unavailable), the paper reports that its intrinsically two-mode Möbius–Kantor code outperforms a two-mode tensor product of single-mode cat codes in the numerical comparisons. Appendix D also reports advantages for simplex codes over single-mode cat codes. These results support the comparison with independent-copy codes, but the passages do not establish superior performance over simple concatenation schemes or for many multimode generalizations broadly. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

  • Quantum spherical codes, tiger codes, and quantum cubature codes take superpositions of discrete and continuous constellations in higher-dimensional complex spheres or multiple spherical shells.

    “Quantum spherical codes [157] and tiger codes [158] take superpositions of discrete and continuous constellations in higher-dimensional complex spheres, while quantum cubature codes [156] consider constellations spread across multiple spherical shells of different radii, that is, different energies.”

    From Quantum error correction and fault tolerance: A comprehensive tutorial (2026) · cites this paper as [157]

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Cited by

Sorted by citations

Authors
Jain, S. P., Iosue, J. T., Barg, A., & Albert, V. V.
Affiliations
  • Joint Center for Quantum Information and Computer Science (US)
  • University of Maryland, College Park (US)
Corresponding author
Albert, Victor V.
ORCID
Venue
Nature Physics
Publisher
Springer Science and Business Media LLC
Published
2024-05-15
Volume
20
Issue
8
Pages
1300-1305
ISSN
  • 1745-2473 (ISSN-L)
  • 1745-2481
DOI
10.1038/s41567-024-02496-y
OpenAlex
W4396929311
Cited by
18
References
7
Citations by year
2026: 8 · 2025: 8 · 2024: 2
FWCI
2.67
Type
journal article
Language
en
Open access
Licence
Locations
  • Nature Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion, cc-by)
  • arXiv (Cornell University) (cc-by)
Funders
National Science Foundation (OMA-2120757, CCF-2110113, CCF-2104489, CCF-2330909)
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 correction, cat codes, spherical designs, Calderbank-Shor-Steane codes, dephasing noise, photonic resonators, quantum memory

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