Elementary proof of the bound on the speed of quantum evolution
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An elementary proof is given of the bound on "ortogonalization time".
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The Margolus-Levitin theorem states that the shortest time for a quantum state to evolve into an orthogonal state is limited by the initial energy.
“The Margolus-Levitin theorem [6] suggests that the shortest time for a quantum state to evolve into an orthogonal state is limited by the initial energy.”
From Quantum speed limit for perfect state transfer in one dimension (2006) · cites this paper as [6]
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Cites
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
A unitarity bound on the evolution of nonstationary states
Fleming, G. N. (1973) · Il Nuovo Cimento A · doi:10.1007/bf02819419 · Cited by 218 · see citing works
The rate of evolution of a quantum state
Uffink, J. (1993) · American Journal of Physics · doi:10.1119/1.17368 · Cited by 103 · see citing works
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Research works printed but not linked: 8
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Cited by
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Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Deffner, S., & Campbell, S. (2017) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/aa86c6 · Cited by 585 · see citing works
Fundamental Limit on the Rate of Quantum Dynamics: The Unified Bound Is Tight
Levitin, L. B., & Toffoli, T. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.160502 · Cited by 302 · see citing works
Quantum speed limit for perfect state transfer in one dimension
Yung, M.-H. (2006) · Physical Review A · doi:10.1103/physreva.74.030303 · Cited by 128 · see citing works
Entanglement 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
- Authors
- Kosiński, P., & Zych, M.
- Affiliations
- University of Łódź (PL)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2006-02-14
- Volume
- 73
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2040238505
- Cited by
- 30
- References
- 4
- Citations by year
- 2024: 1 · 2023: 2 · 2022: 1 · 2021: 3 · 2020: 1 · 2019: 2 · 2017: 6 · 2016: 2 · 2015: 2 · 2014: 1 · 2013: 1 · 2012: 1
- FWCI
- 1.51
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- 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
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- quantum state evolution, elementary proof
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