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Phys. Rev. A 67, 032108 (2003) [6 pages]

Complementarity and duality relations for finite-dimensional systems

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Alfredo Luis*
Departamento de Óptica, Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain

Received 7 December 2002; published 19 March 2003

We generalize to systems with arbitrary finite dimension a measure of quantum fluctuations (the certainty) previously introduced for two-dimensional systems. Using this measure, we study the duality relations satisfied by complementary observables looking for states with minimum joint fluctuations (maximum certainty states). We extend the duality relations to encompass several complementary observables simultaneously.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.032108
DOI:
10.1103/PhysRevA.67.032108
PACS:
03.65.Ca, 42.50.Dv

*Electronic address: alluis@fis.ucm.es