English

Geometry of Two-Qubit State and Intertwining Quaternionic Conformal Mapping Under Local Unitary Transformations

Quantum Physics 2009-11-13 v1

Abstract

In this paper the geometry of two-qubit systems under local unitary group SO(2)SU(2)SO(2)\otimes SU(2) is discussed. It is shown that the quaternionic conformal map intertwines between this local unitary subgroup of Sp(2)Sp(2) and the quaternionic M\"{o}bius transformation which is rather a generalization of the results of Lee et al (2002 Quantum Inf. Process. 1 129).

Cite

@article{arxiv.0708.3637,
  title  = {Geometry of Two-Qubit State and Intertwining Quaternionic Conformal Mapping Under Local Unitary Transformations},
  author = {G. Najarbashi and S. Ahadpour and M. A. Fasihi and Y. Tavakoli},
  journal= {arXiv preprint arXiv:0708.3637},
  year   = {2009}
}

Comments

16 pages

R2 v1 2026-06-21T09:11:04.227Z