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Communications in Nonlinear Science and Numerical Simulation 15 (2010) 752-763
Bases for spin systems and qudits from angular momentum theory
Maurice R. Kibler1

Spin bases of relevance for quantum systems with cyclic symmetry as well as for quantum information and quantum computation are constructed from the theory of angular momentum. This approach is connected to the use of generalized Pauli matrices (in dimension d) arising from a polar decomposition of the group SU(2). Numerous examples are given for d=2, 3 and 4.
1 :  IPNL - Institut de Physique Nucléaire de Lyon
Physique/Physique Quantique
Spin systems – qubits – qudits – generalized Pauli matrices – mutually unbiased bases – generalized Pauli group.
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Kibler_ifacconf.pdf(143.3 KB)