Journal of Physics A Mathematical and Theoretical

Symplectic transformations and quantum tomography in finite quantum systems

Apostol Vourdas, Cyril Banderier

Published Jan 4, 2010• 25 citations

Abstract

Quantum systems where the position and momentum are in the ring ( d is an odd integer) are considered. Symplectic transformations are studied, and the order of is calculated. Quantum tomography is also discussed. It is shown that measurements (used in the inverse Radon transform) need to be made on J 2 ( d ) lines (where J 2 ( d ) is the Jordan totient function).

DOI: 10.1088/1751-8113/43/4/042001

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