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arXiv · 1509.07955

Hierarchy of Spin Operators, Quantum Gates, Entanglement, Tensor Product and Eigenvalues

Willi-Hans Steeb·Yorick Hardy
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Abstract

{\bf 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-$\frac12$ and the case spin-1. The spin-$\frac12$, spin-1, spin-$\frac32$ 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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Willi-Hans Steeb, Yorick Hardy. 2015-09-26. Hierarchy of Spin Operators, Quantum Gates, Entanglement, Tensor Product and Eigenvalues. https://arxiv.org/abs/1509.07955

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