Extended Weyl-Heisenberg algebra, phase operator, unitary depolarizers and 
generalized Bell states

Daoud, M.; El Kinani, E. H.

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Extended Weyl-Heisenberg algebra, phase operator, unitary depolarizers and generalized Bell states

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Daoud, M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Daoud, M., & El Kinani, E. H. (2011). Extended Weyl-Heisenberg algebra, phase operator, unitary depolarizers and generalized Bell states. Physics Letters A, 375(25), 2492-2497.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-8C93-B

Abstract

Finite dimensional representations of extended Weyl-Heisenberg algebra are studied both from mathematical and applied viewpoints. They are used to define unitary phase operator and the corresponding eigenstates (phase states). It is also shown that the unitary depolarizers can be constructed in a general setting in terms of phase operators. Generation of generalized Bell states using the phase operator is presented and their expressions in terms of the elements of mutually unbiased bases are given. (C) 2011 Published by Elsevier B.V.