Duality, measurements, and factorization in finite quantum systems
- 1 May 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 47 (5) , 3523-3529
- https://doi.org/10.1103/physreva.47.3523
Abstract
Finite quantum systems are considered and dual quantities are defined with a finite Fourier transform. Ladder operators that translate the eigenstates of these quantities are shown to form a finite Weyl group. Dual measurements are introduced and shown to obey certain entropic inequalities. A factorization of these systems into subsystems with the use of number-theoretic results is also presented.Keywords
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