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Title: Mutually unbiased bases for the rotor degree of freedom
Authors: Lü, X.
Raynal, P. 
Englert, B.-G. 
Issue Date: 22-May-2012
Citation: Lü, X., Raynal, P., Englert, B.-G. (2012-05-22). Mutually unbiased bases for the rotor degree of freedom. Physical Review A - Atomic, Molecular, and Optical Physics 85 (5) : -. ScholarBank@NUS Repository.
Abstract: We consider the existence of a continuous set of mutually unbiased bases for the continuous and periodic degree of freedom that describes motion on a circle (rotor degree of freedom). By a singular mapping of the circle to the line, we find a first, but somewhat unsatisfactory, continuous set which does not relate to an underlying Heisenberg pair of complementary observables. Then, by a nonsingular mapping of the discrete angular momentum basis of the rotor onto the Fock basis for linear motion, we construct such a Heisenberg pair for the rotor and use it to obtain a second, fully satisfactory, set of mutually unbiased bases. © 2012 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
ISSN: 10502947
DOI: 10.1103/PhysRevA.85.052316
Appears in Collections:Staff Publications

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