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Bases for spin systems and qudits from angular momentum theory

Abstract : 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.
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Maurice Kibler. Bases for spin systems and qudits from angular momentum theory. Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2010, 15, pp.752-763. ⟨10.1016/j.cnsns.2009.05.017⟩. ⟨in2p3-00333758⟩

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