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

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

2007-08-27

arxiv.org/abs/0708.3637v1

J.Phy.A 40 6481-6489 (2007)

Physics

Quantum Physics

16 pages

Scientific paper

10.1088/1751-8113/40/24/014

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 M\"{o}bius transformation which is rather a generalization of the
results of Lee et al (2002 Quantum Inf. Process. 1 129).

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