Bases for spin systems and qudits from angular momentum theory

Details Bases for spin systems and qudits from angular momentum theory Bases for spin systems and qudits from angular momentum theory

2008-10-24

arxiv.org/abs/0810.4418v1

Communications in Nonlinear Science and Numerical Simulation 15 (2010) 752-763

Physics

Quantum Physics

6 pages

Scientific paper

10.1016/j.cnsns.2009.05.017

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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