More on the Isomorphism $SU(2)\otimes SU(2)\cong SO(4)$
Quantum Physics
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper we revisit the isomorphism to apply to some subjects in Quantum Computation and Mathematical Physics. The unitary matrix by Makhlin giving the isomorphism as an adjoint action is studied and generalized from a different point of view. Some problems are also presented. In particular, the homogeneous manifold which characterizes entanglements in the case of is studied, and a clear-cut calculation of the universal Yang-Mills action in (hep-th/0602204) is given for the abelian case.
Cite
@article{arxiv.quant-ph/0608186,
title = {More on the Isomorphism $SU(2)\otimes SU(2)\cong SO(4)$},
author = {Kazuyuki Fujii and Hiroshi Oike and Tatsuo Suzuki},
journal= {arXiv preprint arXiv:quant-ph/0608186},
year = {2008}
}
Comments
Latex ; 19 pages ; 5 figures ; minor changes. To appear in International Journal of Geometric Methods in Modern Physics (vol.4, no.3)