Hierarchy of Spin Operators, Quantum Gates, Entanglement, Tensor Product and Eigenvalues
Abstract
Abstract. We show that two hierarchies of spin Hamilton operators admit the same spectrum. Both Hamilton operators play a central role for quantum gates in particular for the case spin-12 and the case spin-1. The spin-12, spin-1, spin-32 and spin-2 cases are studied in detail. Entanglement and mutually unbiased bases of the eigenvectors is discussed. Two triple Hamilton operators are also investigated. Both are also admitting the same spectrum.
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