2015/09/26 by Steeb, Willi-Hans, Hardy, Yorick
#FOS: Physical sciences #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.1509.07955
\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.