Estimation of shift parameters of a quantum state
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Eq. (27) exactly coincides with the one reported in Ref. [9] and reduces to a MT-like bound when further restricting to a time-independent generator.
“Moreover, we can immediately see that it exactly coincides with the one reported in Ref. [9] and reduces to a MT-like bound, when further restricting to the case of a time-independent generator of the dynamics.”
From Generalized Geometric Quantum Speed Limits (2016) · cites this paper as [9]
Cites
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Fundamentals of Quantum Optics
Klauder, J. R., Sudarshan, E. C. G., & Miller, M. M. (1969) · Physics Today · doi:10.1063/1.3035319 · Cited by 850 · see citing works
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On the Localizability of Quantum Mechanical Systems
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The time of arrival in quantum mechanics I. Formal considerations
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Multiple-parameter quantum estimation and measurement of nonselfadjoint observables
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Estimation of a displacement parameter of a quantum system
Helstrom, C. W. (1974) · International Journal of Theoretical Physics · doi:10.1007/bf01809715 · Cited by 51 · see citing works
Phase operators and phase relations for photon states
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Generalized Geometric Quantum Speed Limits
Pires, D. P., Cianciaruso, M., Céleri, L. C., Adesso, G., & Soares-Pinto, D. O. (2016) · Physical Review X · doi:10.1103/physrevx.6.021031 · Cited by 265 · see citing works
- Authors
- Holevo, A. S.
- Affiliations
- Steklov Mathematical Institute (RU)
- Corresponding author
- Holevo, A.S.
- Venue
- Reports on Mathematical Physics
- Publisher
- Elsevier BV
- Published
- 1978-06
- Volume
- 13
- Issue
- 3
- Pages
- 379-399
- ISSN
- 0034-4877 (ISSN-L)
- OpenAlex
- W1967631009
- Cited by
- 71
- References
- 16
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 3 · 2023: 3 · 2021: 4 · 2020: 2 · 2019: 3 · 2017: 4 · 2016: 1 · 2015: 3 · 2014: 2 · 2012: 4
- FWCI
- 0.58
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Reports on Mathematical Physics (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 › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Keywords
- quantum estimation theory, uncertainty relations, non-self-adjoint operators, phase estimation
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