Optimal Quantum Cloning Machines
Open accessAbstract
We present quantum cloning machines that transform $N$ identical qubits into $M>N$ identical copies and we prove that the fidelity (quality) of these copies is optimal. The connection between cloning and measurement is discussed in detail. When the number of clones $M$ tends towards infinity, the fidelity of each clone tends towards the optimal fidelity that can be obtained by a measurement on the input qubits. More generally, quantum cloning machines are universal devices to translate quantum information into classical information.
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Knowing the unitarity of a channel in addition to the average gate fidelity gives improved bounds on the diamond norm distance of a given channel to the identity.
“Knowing the unitarity of a channel in addition to the average gate fidelity, gives improved bounds on the diamond norm distance of a given channel to the identity [59]”
From Simple formulation of no-cloning and no-hiding that admits efficient and robust verification (2024) · cites this paper as [59]
The passages labeled Abstract (page unavailable) derive bounds on quantum-cloning fidelity under unitary-evolution constraints, not bounds on a channel’s diamond-norm distance to the identity. Searches for channel unitarity, average gate fidelity, and diamond-norm bounds found no passage addressing the attributed claim. (LLM, conf=0.76)
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A single quantum cannot be cloned
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Research works printed but not linked: 8
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Gisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.145 · Cited by 8,515 · see citing works
Self-citationQuantum information with continuous variables
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Simple formulation of no-cloning and no-hiding that admits efficient and robust verification
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- Authors
- Gisin, N., & Massar, S.
- Affiliations
- University of Geneva (CH)
- Tel Aviv University (IL)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1997-09-15
- Volume
- 79
- Issue
- 11
- Pages
- 2153-2156
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2072785549
- Cited by
- 722
- References
- 3
- Citations by year
- 2026: 5 · 2025: 22 · 2024: 20 · 2023: 12 · 2022: 13 · 2021: 16 · 2020: 14 · 2019: 49 · 2018: 11 · 2017: 22 · 2016: 34 · 2015: 15 · 2014: 19 · 2013: 22 · 2012: 31
- FWCI
- 30.75
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- 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
- quantum cloning machines, qubits, quantum measurement, quantum information, no-cloning theorem
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