A Sequence of Quantum Gates

Yorick Hardy; Willi-Hans Steeb

doi:10.1142/S0219887812200137

A Sequence of Quantum Gates

Quantum Physics 2012-10-02 v1

Authors: Yorick Hardy , Willi-Hans Steeb

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Abstract

We study a sequence of quantum gates in finite-dimensional Hilbert spaces given by the normalized eigenvectors of the unitary operators. The corresponding sequence of the Hamilton operators is also given. From the Hamilton operators we construct another hierarchy of quantum gates via the Cayley transform.

Keywords

quantum algebra quantum circuit compilation quantum computing

Cite

@article{arxiv.1202.2259,
  title  = {A Sequence of Quantum Gates},
  author = {Yorick Hardy and Willi-Hans Steeb},
  journal= {arXiv preprint arXiv:1202.2259},
  year   = {2012}
}