English

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

Quantum Physics 2018-07-02 v2

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-12\frac12 and the case spin-1. The spin-12\frac12, spin-1, spin-32\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.

Keywords

Cite

@article{arxiv.1509.07955,
  title  = {Hierarchy of Spin Operators, Quantum Gates, Entanglement, Tensor Product and Eigenvalues},
  author = {Willi-Hans Steeb and Yorick Hardy},
  journal= {arXiv preprint arXiv:1509.07955},
  year   = {2018}
}

Comments

entanglement added, mutually unbiased bases added, triple spin added, author added

R2 v1 2026-06-22T11:06:03.624Z