The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Holonomic quantum computation
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“Furthermore, since the SU(2) gauge field description is valid for photons down to quantum scale, this approach might be applicable to the design of geometric gates for realizing non-Abelian holonomic quantum computation64,65 with photons.”
From Non-Abelian gauge field optics (2019) · cites this paper as [64]
In the citing paper
“The Davies approach is based not on the highT limit, but rather on the physically plausible idea of weak coupling. This is natural and consistent with thermodynamics at all temperatures.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
In the citing paper
“In the Davies approach the Markov approximation is a consequence of weak coupling (and hence slow dynamics of the system in the interaction picture), and time coarse-graining, which leads to cancellation of the non-Markovian oscillating terms.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
In the citing paper
“The price we pay is the invalidity of this approach for timedependent Hamiltonians, except in the adiabatic case.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
In the citing paper
“More specifically, Davies' derivation does not invoke a flatness condition on G ( ω ) but is, of course, still subject to the KMS condition.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
In the citing paper
“Hence, while the Davies approach does not require the highT limit, it imposes severe restrictions on the speed of quantum gates.”
From Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit (2006) · cites this paper as [43]
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Citations
Cites
Appearance of Gauge Structure in Simple Dynamical Systems
Wilczek, F., & Zee, A. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.2111 · Cited by 1,775
DiVincenzo, D. P. (1995) · Science · doi:10.1126/science.270.5234.255 · Cited by 1,651
Geometry, Topology and Physics
Nakahara, M. (1990) · doi:10.1887/0750306068 · Cited by 1,620
Wilczek, F. A., & Shapere, A. D. (1989) · Advanced series in mathematical physics · doi:10.1142/0613 · Cited by 1,616
Steane, A. (1998) · Reports on Progress in Physics · doi:10.1088/0034-4885/61/2/002 · Cited by 1,391
Two-bit gates are universal for quantum computation
DiVincenzo, D. P. (1995) · Physical Review A · doi:10.1103/physreva.51.1015 · Cited by 1,069
Almost Any Quantum Logic Gate is Universal
Lloyd, S. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.346 · Cited by 690
Universality in quantum computation
Deutsch, D. E., Barenco, A., & Ekert, A. (1995) · Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences · doi:10.1098/rspa.1995.0065 · Cited by 346
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections
Bott, R., & Chern, S.-S. (1965) · Acta Mathematica · doi:10.1007/bf02391818 · Cited by 294
Geometric phase, bundle classification, and group representation
Mostafazadeh, A. (1996) · Journal of Mathematical Physics · doi:10.1063/1.531457 · Cited by 16
Research works printed but not linked: 1
- E. Demler, S.C. Zhang, LANL e-print archive cond-mat/9805404. · arXiv
Cited by
Sorted by citations
Noisy intermediate-scale quantum algorithms
Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 2,231
Albash, T., & Lidar, D. A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015002 · Cited by 1,546
Geometric Manipulation of Trapped Ions for Quantum Computation
Duan, L.-M., Cirac, J. I., & Zoller, P. (2001) · Science · doi:10.1126/science.1058835 · Cited by 793
Dynamics of Loschmidt echoes and fidelity decay
Gorin, T., Prosen, T., Seligman, T. H., & Žnidarič, M. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.09.003 · Cited by 623
Robustness of adiabatic quantum computation
Childs, A. M., Farhi, E., & Preskill, J. P. (2001) · Physical Review A · doi:10.1103/physreva.65.012322 · Cited by 468
Metadata
- Authors
- Zanardi, P., & Rasetti, M.
- Affiliations
- Politecnico di Torino (IT)
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1999-12
- Volume
- 264
- Issue
- 2-3
- Pages
- 94-99
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2025206681
- Cited by
- 1,006
- References
- 10
- Citations by year
- 2026: 28 · 2025: 38 · 2024: 42 · 2023: 68 · 2022: 57 · 2021: 55 · 2020: 50 · 2019: 40 · 2018: 40 · 2017: 28 · 2016: 48 · 2015: 24 · 2014: 41 · 2013: 35 · 2012: 34
- FWCI
- 21.94
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Letters A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- PORTO@Iris (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- holonomic quantum computation, Berry phase, non-Abelian holonomy, adiabatic evolution, control field, universal quantum computation
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