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quant-ph1999
Geometric Phases for Three State Systems
Mark S. Byrd
The adiabatic geometric phases for general three state systems are discussed. An explicit parameterization for space of states of these systems is given. The abelian and non-abelia…
math-ph1999
Clifford Periodicity from Finite Groups
Luis J. Boya, Mark S. Byrd
We deduce the periodicity 8 for the type of and representations of the orthogonal groups from simple combinatorial properties of the finite Clifford groups gene…