On the Representations of the Semisimple Lie Groups. II
Abstract
The explicit determination of the matrices of the generators of the unitary groups, SUn, is carried out and discussed in two alternative treatments: (a) by purely algebraic infinitesimal methods, and (b) by Young-pattern techniques employing the Schwinger-Bargmann boson operator methods. The implication of this result for a tableau calculus is discussed and a determination of the [λ] × [1] Wigner coefficient for all SUn is indicated.
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The angle between generalized Bloch vectors is a distance for unitarily connectable elements of state space and induces an attainable bound for unitary evolution of mixed qubits.
“We propose the use of the angle between generalized Bloch vectors [45,46] as a distance for those elements of the state space that can be unitarily connected, and show that it induces an attainable bound for the unitary evolution of mixed qubits.”
From Tightening Quantum Speed Limits for Almost All States (2018) · cites this paper as [45]
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Tightening Quantum Speed Limits for Almost All States
Campaioli, F., Pollock, F. A., Binder, F. C., & Modi, K. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.060409 · Cited by 148 · see citing works
- Authors
- Baird, G. E., & Biedenharn, L. C.
- Affiliations
- Duke University (US)
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1963-12-01
- Volume
- 4
- Issue
- 12
- Pages
- 1449-1466
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2074642041
- Cited by
- 436
- References
- 27
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 6 · 2023: 9 · 2022: 4 · 2021: 5 · 2020: 4 · 2019: 3 · 2018: 3 · 2017: 2 · 2016: 5 · 2015: 2 · 2014: 18 · 2013: 2
- FWCI
- 11.83
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Mathematical Physics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Algebra and Geometry
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Finite Group Theory Research
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Keywords
- semisimple Lie groups, unitary groups, matrix representation, Young tableaux, Wigner coefficients, tableau calculus
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