Tight upper bound of the maximum speed of evolution of a quantum state
Open accessAbstract
I report a tight upper bound of the maximum speed of evolution from one quantum state $\ensuremath{\rho}$ to another ${\ensuremath{\rho}}^{\ensuremath{'}}$ with fidelity $F(\ensuremath{\rho},{\ensuremath{\rho}}^{\ensuremath{'}})$ less than or equal to an arbitrary but fixed value under the action of a time-independent Hamiltonian. Since the bound is directly proportional to the average absolute deviation from the median of the energy of the state $\mathcal{D}E$, one may interpret $\mathcal{D}E$ as a meaningful measure of the maximum information-processing capability of a system.
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Entanglement can speed up time evolution in multipartite systems.
“Furthermore, it was recognized [5] that entanglement can speed up time evolution in multipartite systems.”
From Kind of entanglement that speeds up quantum evolution (2012) · cites this paper as [5]
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Self-citation
- Authors
- Chau, H. F.
- Affiliations
- University of Hong Kong (HK)
- Corresponding author
- Chau, H. F.
- ORCID
- Chau, H. F.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2010-06-30
- Volume
- 81
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2043060172
- Cited by
- 37
- References
- 8
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2023: 5 · 2022: 5 · 2021: 2 · 2019: 1 · 2018: 1 · 2017: 1 · 2016: 4 · 2015: 4 · 2014: 2 · 2013: 4 · 2012: 3
- FWCI
- 2.71
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- The HKU Scholars Hub (University of Hong Kong) (submittedVersion)
- arXiv (Cornell University)
- Topics
- 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
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum state evolution, upper bounds, fidelity, time-independent Hamiltonian, information processing skills, quantum dynamics
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