MORE ON THE ISOMORPHISM SU(2) ⊗ SU(2) ≅ SO(4)-Reference-Cited by-同舟云学术

MORE ON THE ISOMORPHISM SU(2) ⊗ SU(2) ≅ SO(4)

Published:2007-05 Issue:03 Volume:04 Page:471-485
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

FUJII KAZUYUKI¹,OIKE HIROSHI²,SUZUKI TATSUO³

Affiliation:

1. Department of Mathematical Sciences, Yokohama City University, Yokohama, 236–0027, Japan

2. Takado 85–5, Yamagata, 990–2464, Japan

3. Department of Mathematical Sciences, Waseda University, Tokyo, 169–8555, Japan

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887807002120

Reference12 articles.

1. Geometric theory of nonlocal two-qubit operations

2. UNIVERSAL YANG–MILLS ACTION ON FOUR-DIMENSIONAL MANIFOLDS

3. Conservation of Isotopic Spin and Isotopic Gauge Invariance

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