Symplectic transformations and quantum tomography in finite quantum systems

نویسنده

  • A Vourdas
چکیده

Quantum systems where the position and momentum are in the ring Zd (d is an odd integer) are considered. Symplectic transformations are studied, and the order of Sp(2,Zd) is calculated. Quantum tomography is also discussed. It is shown that measurements (used in the inverse Radon transform) need to be made on J2(d) lines (where J2(d) is the Jordan totient function). PACS number: 03.65.Ca

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تاریخ انتشار 2009