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Cited by 103Quantum Mechanics and ApplicationsScience Education and PedagogyEducational Methods and Outcomes

The rate of evolution of a quantum state

Uffink, Jos·1993·American Journal of Physics
DOI 10.1119/1.17368
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Abstract

Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Twitter Facebook Reddit LinkedIn Tools Icon Tools Reprints and Permissions Cite Icon Cite Search Site Citation Jos Uffink; The rate of evolution of a quantum state. Am. J. Phys. 1 October 1993; 61 (10): 935–936. https://doi.org/10.1119/1.17368 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAmerican Association of Physics TeachersAmerican Journal of Physics Search Advanced Search |Citation Search

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  • An operator's variance does not provide a suitable measure of quantum uncertainty.

    “it was further argued that the variance of an operator is not an adequate measure of quantum uncertainty [19,20]”

    From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [19]

  • Both the Mandelstam-Tamm and Margolus-Levitin bounds are valid, as shown by elementary proofs and by proofs for mixed and entangled states.

    “That both bounds, ( 12) and (16), hold true, however, was illustrated by further elementary proofs by, e.g.Uffink [19], Brody [54], Andrecut and Ali [55], and Kosiński and Zych [56], and by more eleborated proofs for mixed and entangled states [57][58][59].”

    From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [19]

  • The Margolus-Levitin bound avoids the problem that the speed is set by the variance of a quantum observable.

    “The Margolus-Levitin bound, equation ( 16), does not suffer from the conceptual issues that plagued the Mandelstam-Tamm bound-namely that the dynamical speed is determined by the variance of some quantum observable [19].”

    From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [19]

  • For unitary dynamics restricted to orthogonal pure states, the QSL can be made tighter by combining MT and ML as τ ≥ max{πħ/(2ΔE), πħ/(2E)}.

    “Therefore, the quantum speed limit for unitary dynamics, when restricting to orthogonal pure states, can be made tighter by combining these two independent results as τ ≥ maxfπℏ=ð2ΔEÞ; πℏ=ð2EÞg [17].”

    From Generalized Geometric Quantum Speed Limits (2016) · cites this paper as [17]

  • The above expression generalizes in a unified manner previous results derived in Refs. [7-22].

    “The above expression generalizes in an unified manner previous results derived in Refs. [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22].”

    From Energy–time uncertainty relation for driven quantum systems (2013) · cites this paper as [9]

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Authors
Uffink, J.
Affiliations
University of Minnesota (US)
Corresponding author
Uffink, Jos
ORCID
Uffink, Jos
Venue
American Journal of Physics
Publisher
American Association of Physics Teachers (AAPT)
Published
1993-10-01
Volume
61
Issue
10
Pages
935-936
ISSN
  • 0002-9505 (ISSN-L)
  • 1943-2909
DOI
10.1119/1.17368
OpenAlex
W2093543847
Cited by
103
References
0
Citations by year
2026: 3 · 2025: 5 · 2024: 3 · 2023: 5 · 2022: 6 · 2021: 3 · 2020: 8 · 2019: 6 · 2018: 4 · 2017: 9 · 2016: 9 · 2015: 6 · 2014: 5 · 2013: 7
FWCI
0.49
Type
journal article
Language
en
Open access
closed
Locations
American Journal of Physics (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Social Sciences › Education › Science Education and Pedagogy
  • Social Sciences › Education › Educational Methods and Outcomes
Keywords
quantum state evolution, evolutionary rates, quantum dynamics

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