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

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

Year

2007

Paper ID

49255

Status

Preprint

Abstract Read

~2 min

Abstract Words

54

Citations

N/A

Abstract

In this paper the geometry of two-qubit systems under local unitary group SO(2)otimes SU(2) is discussed. It is shown that the quaternionic conformal map intertwines between this local unitary subgroup of Sp(2) and the quaternionic Möbius transformation which is rather a generalization of the results of Lee et al (2002 Quantum Inf. Process. 1 129).

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  • In this paper the geometry of two-qubit systems under local unitary group SO(2)otimes SU(2) is discussed.

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