An energy dispersion estimate
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Claims the paper makes
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Each is checked against this paper’s own text: does it say what the citing paper says it does?
Uhlmann generalized the Mandelstam-Tamm bound to mixed states and driven dynamics.
“Equipped with the latter, Uhlmann was able to generalise the Mandelstam-Tamm bound to mixed states and driven dynamics [66].”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [66]
For isolated systems, the Bures angle serves as a measure of distinguishability for defining quantum speed.
“For isolated systems it quickly became clear that the Bures angle (25) would do the job [66,67]”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [66]
Poincaré recurrences are not expected until times of order t ∼ e^{e^S}.
“Poincar´ e recurrences are not expected until times of order t ∼ e e S [14, 15].”
From Scrambling the spectral form factor: Unitarity constraints and exact results (2017) · cites this paper as [14]
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References 9 · Cited by 125
- Authors
- Uhlmann, A.
- Affiliations
- Leipzig University (DE)
- Corresponding author
- Uhlmann, Armin
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1992-01
- Volume
- 161
- Issue
- 4
- Pages
- 329-331
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2077981746
- Cited by
- 125
- References
- 9
- Citations by year
- 2026: 5 · 2025: 5 · 2024: 13 · 2023: 12 · 2022: 15 · 2021: 8 · 2020: 7 · 2019: 5 · 2018: 11 · 2017: 7 · 2016: 9 · 2015: 8 · 2014: 4 · 2013: 5 · 2012: 3
- FWCI
- 0.46
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters A (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- energy dispersion, energy uncertainty, density matrix, Hamiltonian dynamics, Bures metric, geodesics, quantum state evolution, time-energy uncertainty relation
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