Holonomic quantum computation
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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 computation with photons.
“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]
The Davies approach is based on weak coupling and is consistent with thermodynamics at all temperatures.
“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 Davies approach, the Markov approximation is a consequence of weak coupling and time coarse-graining, which leads to cancellation of non-Markovian oscillating terms.
“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]
The Davies weak-coupling derivation is invalid for time-dependent Hamiltonians, except in the adiabatic case.
“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]
The Davies derivation does not invoke a flatness condition on G(ω) but is still subject to the KMS condition.
“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]
The Davies approach does not require the high-T limit.
“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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- 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 › Computer Science › Artificial Intelligence › 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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