Entanglement and the speed of evolution of multi-partite quantum systems
Open accessAbstract
There exists an interesting relationship between entanglement and the time evolution of composite quantum systems: quantum entanglement enhances the 'speed' of evolution of certain quantum states, as measured by the time needed to reach an orthogonal state. Previous research done on this subject has been focused upon comparing extreme cases (highly entangled states versus separable states) or upon bi-partite systems. In the present contribution we explore the aforementioned connection (between entanglement and time evolution) in the cases of two-qubits and N -qubits systems, taking into account states of intermediate entanglement. In particular, we investigate a family of energetically symmetric states of low entanglement that saturate the quantum speed bound. We show that, as the number of qubits increases, very little entanglement is needed to reach the quantum speed limit.
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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 [10]
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- Authors
- Zander, C., Plastino, A. R., Plastino, A., & Casas, M.
- Affiliations
- University of Pretoria (ZA)
- Consejo Superior de Investigaciones Científicas (ES)
- ORCID
- Casas, M
- Venue
- Journal of Physics A: Mathematical and Theoretical
- Publisher
- IOP Publishing
- Published
- 2007-02-28
- Volume
- 40
- Issue
- 11
- Pages
- 2861-2872
- ISSN
- 1751-8113 (ISSN-L)
- 1751-8121
- OpenAlex
- W2035141247
- Cited by
- 52
- References
- 44
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 2 · 2023: 4 · 2022: 4 · 2021: 3 · 2019: 2 · 2018: 2 · 2017: 5 · 2016: 2 · 2015: 3 · 2014: 3 · 2013: 4 · 2012: 3
- FWCI
- 4.34
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Physics A Mathematical and Theoretical (publishedVersion)
- UpSpace Institutional Repository (University of Pretoria) (submittedVersion)
- Funders
- National Research Foundation
- Ministerio de Economía y Competitividad
- Govern de les Illes Balears
- 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 entanglement, quantum speed limit, n-qubit systems, two-qubit systems, quantum state evolution, separable states
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