Angular Momentum and Mutually Unbiased Bases

Details Angular Momentum and Mutually Unbiased Bases Angular Momentum and Mutually Unbiased Bases

2005-10-17

arxiv.org/abs/quant-ph/0510124v1

International Journal of Modern Physics B 20 (2006) 1792-1801

Physics

Quantum Physics

To be published in International Journal of Modern Physics B

Scientific paper

10.1142/S0217979206034297

The Lie algebra of the group SU(2) is constructed from two deformed oscillator algebras for which the deformation parameter is a root of unity. This leads to an unusual quantization scheme, the {J2,Ur} scheme, an alternative to the familiar {J2,Jz} quantization scheme corresponding to common eigenvectors of the Casimir operator J2 and the Cartan operator Jz. A connection is established between the eigenvectors of the complete set of commuting operators {J2,Ur} and mutually unbiased bases in spaces of constant angular momentum.

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