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QUANTUM INFORMATION ENTROPY FOR A MULTILEVEL SYSTEM

M. ABDEL-ATY

Mathematics Department, College of Science, University of Bahrain, P.O. Box 32038, Bahrain

Corresponding author.

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S. S. HASSAN

Mathematics Department, College of Science, University of Bahrain, P.O. Box 32038, Bahrain

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M. SEBAWE ABDALLA

Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

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, and

A.-S. F. OBADA

Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt

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https://doi.org/10.1142/S0217979207038381Cited by:1 (Source: Crossref)

Abstract

We study the uncertainty relations between photon number and canonical phase of a multilevel system. All the relevant quantities can be sampled directly from the measured phase-dependent quadrature distribution. Some comments are made on the extension of these relations to the case where the Hilbert space is of infinite dimension. We describe its theoretical basis and discuss its practical relevance, especially in comparison with already known results. Numerical calculations under specified initial conditions are presented.

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Vol. 21, No. 32

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Received 21 December 2006

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QUANTUM INFORMATION ENTROPY FOR A MULTILEVEL SYSTEM

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