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The Canonical Coset Decomposition of Unitary Matrices Through Householder Transformations

Mathematical Physics 2010-08-17 v1 math.MP Quantum Physics

Abstract

This paper reveals the relation between the canonical coset decomposition of unitary matrices and the corresponding decomposition via Householder reflections. These results can be used to parametrize unitary matrices via Householder reflections.

Keywords

Cite

@article{arxiv.1008.2477,
  title  = {The Canonical Coset Decomposition of Unitary Matrices Through Householder Transformations},
  author = {Renan Cabrera and Traci Strohecker and Herschel Rabitz},
  journal= {arXiv preprint arXiv:1008.2477},
  year   = {2010}
}