More on the Isomorphism $SU(2)\otimes SU(2)\cong SO(4)$
| dc.creator | Fujii, Kazuyuki | |
| dc.creator | Oike, Hiroshi | |
| dc.creator | Suzuki, Tatsuo | |
| dc.date | 2006-08-24 | |
| dc.date | 2007-01-12 | |
| dc.date.accessioned | 2026-07-07T11:07:46Z | |
| dc.date.available | 2026-07-07T11:07:46Z | |
| dc.description | In this paper we revisit the isomorphism $SU(2)\otimes SU(2)\cong SO(4)$ to apply to some subjects in Quantum Computation and Mathematical Physics. The unitary matrix $Q$ 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 $SU(2n)/SO(2n)$ which characterizes entanglements in the case of $n=2$ is studied, and a clear-cut calculation of the universal Yang-Mills action in (hep-th/0602204) is given for the abelian case. | |
| dc.description | Latex ; 19 pages ; 5 figures ; minor changes. To appear in International Journal of Geometric Methods in Modern Physics (vol.4, no.3) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0608186 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0608186 | |
| dc.identifier | Int.J.Geom.Meth.Mod.Phys.4:471-485,2007 | |
| dc.identifier | doi:10.1142/S0219887807002120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/189954 | |
| dc.subject | Quantum Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | More on the Isomorphism $SU(2)\otimes SU(2)\cong SO(4)$ | |
| dc.type | text |