DUALITY, MEASUREMENTS, AND FACTORIZATION IN FINITE QUANTUM-SYSTEMS

Citation
A. Vourdas et C. Bendjaballah, DUALITY, MEASUREMENTS, AND FACTORIZATION IN FINITE QUANTUM-SYSTEMS, Physical review. A, 47(5), 1993, pp. 3523-3529
Citations number
35
Categorie Soggetti
Physics
Journal title
ISSN journal
10502947
Volume
47
Issue
5
Year of publication
1993
Part
A
Pages
3523 - 3529
Database
ISI
SICI code
1050-2947(1993)47:5<3523:DMAFIF>2.0.ZU;2-M
Abstract
Finite quantum systems are considered and dual quantities are defined with a finite Fourier transform. Ladder operators that translate the e igenstates of these quantities are shown to form a finite Weyl group. Dual measurements are introduced and shown to obey certain entropic in equalities. A factorization of these systems into subsystems with the use of number-theoretic results is also presented.