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Quantum systems with finite Hilbert space
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Quantum systems with finite Hilbert space are considered, and phase-space methods like the Heisenberg–Weyl group, symplectic transformations and Wigner and Weyl functions are discussed. A factorization of such systems in terms of smaller subsystems, based on the Chinese remainder theorem, is studied. The general formalism is applied to the case of angular momentum. In this context, SU (2) coherent states are used for analytic representations. Links between the theory of finite quantum systems and other fields of research are discussed.
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Durt, T., Englert, B., Bengtsson, I., & Życzkowski, K. (2010) · International Journal of Quantum Information · doi:10.1142/s0219749910006502 · Cited by 751
Discrete phase space based on finite fields
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Quasi-probability representations of quantum theory with applications to quantum information science
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Metadata
- Authors
- Vourdas, A.
- Affiliations
- University of Bradford (GB)
- Corresponding author
- Vourdas, A
- ORCID
- Vourdas, A
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 2004-02-02
- Volume
- 67
- Issue
- 3
- Pages
- 267-320
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W2058124214
- Cited by
- 321
- References
- 156
- Citations by year
- 2026: 10 · 2025: 18 · 2024: 13 · 2023: 8 · 2022: 14 · 2021: 14 · 2020: 9 · 2019: 9 · 2018: 10 · 2017: 12 · 2016: 22 · 2015: 12 · 2014: 18 · 2013: 19 · 2012: 14
- FWCI
- 12.07
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Reports on Progress in Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- finite-dimensional quantum systems, finite-dimensional Hilbert space, Weyl-Heisenberg group, symplectic transformations, Wigner function, Weyl function, Chinese remainder theorem, angular momentum, SU(2) coherent states, analytic signal
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