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arXiv · 0708.3637

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

G. Najarbashi·S. Ahadpour·M. A. Fasihi·Y. Tavakoli
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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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G. Najarbashi, S. Ahadpour, M. A. Fasihi, Y. Tavakoli. 2007-08-27. Geometry of Two-Qubit State and Intertwining Quaternionic Conformal Mapping Under Local Unitary Transformations. https://doi.org/10.1088/1751-8113/40/24/014

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