抄録
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 Yang-Mills action in (hep-th/ 0602204) is given for the abelian case.
本文言語 | English |
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ページ(範囲) | 471-485 |
ページ数 | 15 |
ジャーナル | International Journal of Geometric Methods in Modern Physics |
巻 | 4 |
号 | 3 |
DOI | |
出版ステータス | Published - 2007 5月 |
外部発表 | はい |
ASJC Scopus subject areas
- 物理学および天文学(その他)