ua nt - p h / 06 08 18 6 v 2 1 2 Ja n 20 07 More on the Isomorphism SU ( 2 ) ⊗ SU ( 2
نویسندگان
چکیده
In this paper we revisit the isomorphism SU(2) ⊗ SU(2) ∼= 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 E-mail address : [email protected] E-mail address : [email protected] E-mail address : [email protected] 1 Yang–Mills action in (hep-th/0602204) is given for the abelian case.
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