# Geometry of Two-Qubit State and Intertwining Quaternionic Conformal Mapping Under Local Unitary Transformations - Quantum Physics

Abstract: In this paper the geometry of two-qubit systems under local unitary group$SO2\otimes SU2$ is discussed. It is shown that the quaternionic conformalmap intertwines between this local unitary subgroup of $Sp2$ and thequaternionic M\-{o}bius transformation which is rather a generalization of theresults of Lee et al 2002 Quantum Inf. Process. 1 129.

Author: G. Najarbashi, S. Ahadpour, M. A. Fasihi, Y. Tavakoli

Source: https://arxiv.org/