Speed of quantum evolution of entangled two qubits states: Local vs. global evolution
Open accessAbstract
There is a lower bound for the 'speed' of quantum evolution as measured by the time needed to reach an orthogonal state. We show that, for two-qubits systems, states saturating the quantum speed limit tend to exhibit a small amount of local evolution, as measured by the fidelity between the initial and final single qubit states after the time τ required by the composite system to reach an orthogonal state. Consequently, a trade-off between the speed of global evolution and the amount of local evolution seems to be at work.
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When the parameter is time generated by a time-independent Hamiltonian, the Fisher information is time independent and has the form given in Eq. (7).
“Then one can show [10, 12] that the Fisher information is time independent and it has the form”
From Kind of entanglement that speeds up quantum evolution (2012) · cites this paper as [12]
The quantum Fisher information satisfies F(ρ,H) ≤ 4(∆H)^2_ρ/ħ^2, with equality if ρ is pure.
“Note that F ( ρ, H ) can be further estimated as F ( ρ, H ) ≤ 4 (∆ H ) 2 ρ / ℏ 2 [12, 19]. The equality holds if ρ is pure.”
From Kind of entanglement that speeds up quantum evolution (2012) · cites this paper as [12]
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Cites
Ultimate physical limits to computation
Lloyd, S. (2000) · Nature · doi:10.1038/35023282 · Cited by 1,120 · see citing works
The maximum speed of dynamical evolution
Margolus, N., & Levitin, L. B. (1998) · Physica D: Nonlinear Phenomena · doi:10.1016/s0167-2789(98)00054-2 · Cited by 887 · see citing works
Computational Capacity of the Universe
Lloyd, S. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.237901 · Cited by 571 · see citing works
Connection between entanglement and the speed of quantum evolution
Batle, J., Casas, M., Plastino, A., & Plastino, A. R. (2005) · Physical Review A · doi:10.1103/physreva.72.032337 · Cited by 75 · see citing works
Self-citationEntanglement and the lower bounds on the speed of quantum evolution
Borrás, A., Casas, M., Plastino, A. R., & Plastino, A. (2006) · Physical Review A · doi:10.1103/physreva.74.022326 · Cited by 63 · see citing works
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Research works printed but not linked: 1
- N. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge: Cambridge University Press, 2000).
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Kind of entanglement that speeds up quantum evolution
Fröwis, F. (2012) · Physical Review A · doi:10.1103/physreva.85.052127 · Cited by 87 · see citing works
- Authors
- Curilef, S., Zander, C., & Plastino, A. R.
- Affiliations
- Universidad Católica del Norte (CL)
- University of Pretoria (ZA)
- Venue
- Journal of Physics: Conference Series
- Publisher
- IOP Publishing
- Published
- 2008-11-01
- Volume
- 134
- Pages
- 012003
- ISSN
- 1742-6588 (ISSN-L)
- 1742-6596
- OpenAlex
- W2020372437
- Cited by
- 6
- References
- 5
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 1 · 2016: 1 · 2013: 1 · 2012: 1
- FWCI
- 0.00
- Type
- conference paper
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- Journal of Physics Conference Series (publishedVersion)
- Funders
- National Research Foundation
- 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 speed limit, two-qubit systems, entangled states, global evolution, fidelity, orthogonal states, quantum dynamics
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