Hierarchy of Spin Operators, Quantum Gates, Tensor Product and Eigenvalues
Willi-Hans Steeb · arXiv (Cornell University) · 2015
{\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.