High-dimensional one-way quantum processing implemented on d-level cluster states
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The Steane code allows for transversal logical H and CNOT gates, while the tetrahedral code allows for transversal logical T gate, thus forming a universal logical gate set.
“The Steane code allows for transversal logical H and CNOT gates, while the tetrahedral code allows for transversal logical T gate, thus forming a universal logical gate set.”
From Quantum error correction and fault tolerance: A comprehensive tutorial (2026) · cites this paper as [276]
The Methods discuss Hadamard gates applied to qudits in cluster states and say those states can be used for universal computation, but do not discuss transversal logical gates. Searches for the Steane code with H and CNOT and the tetrahedral code with T returned no passage addressing the claimed code properties. (LLM, conf=0.74)
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- Authors
- Reimer, C., Sciara, S., Roztocki, P., Islam, M., Romero Cortés, L., Zhang, Y., Fischer, B., Loranger, S., Kashyap, R., Cino, A., Chu, S. T., Little, B. E., Moss, D. J., Caspani, L., Munro, W. J., Azaña, J., Kues, M., & Morandotti, R.
- Affiliations
- Harvard University (US)
- Institut National de la Recherche Scientifique (CA)
- Polytechnique Montréal (CA)
- University of Palermo (IT)
- City University of Hong Kong (HK)
- Chinese Academy of Sciences (CN)
- Swinburne University of Technology (AU)
- University of Strathclyde (GB)
- National Institute of Informatics (JP)
- University of Electronic Science and Technology of China (CN)
- Corresponding author
- Kues, Michael
- Morandotti, Roberto
- ORCID
- Venue
- Nature Physics
- Published
- 2018-12-03
- Volume
- 15
- Issue
- 2
- Pages
- 148-153
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W2901714149
- Cited by
- 617
- References
- 10
- Citations by year
- 2026: 30 · 2025: 43 · 2024: 94 · 2023: 123 · 2022: 101 · 2021: 135 · 2020: 68 · 2019: 23
- FWCI
- 31.80
- Type
- journal article
- Language
- en
- Open access
- green
- eprints.gla.ac.uk
- Licence
- cc-by-sa
- www.springer.com/tdm (tdm)
- Locations
- Nature Physics (publishedVersion)
- ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam) (acceptedVersion, cc-by-sa)
- Strathprints: The University of Strathclyde institutional repository (University of Strathclyde) (acceptedVersion)
- Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion)
- Espace ÉTS (ETS) (submittedVersion)
- Institutional Repository of Xi'an Institute of Optics and Fine Mechanics, Chinese Academy of Sciences (Xian Institute of Optics and Precision Mechanics) (submittedVersion, cc-by-nc-sa)
- IrInSubria (University of Insubria) (submittedVersion)
- Nova Science Publishers (Nova Science Publishers, Inc.) (submittedVersion, other-oa)
- PolyPublie (École Polytechnique de Montréal) (submittedVersion)
- Swinburne figshare (Swinburne University of Technology) (submittedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- high-dimensional quantum information, one-way quantum computation, multipartite entanglement, noise robustness, projection measurement, integrated photonics, two-photon entanglement, quantum state generation
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