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Orbit Classification of Qutrit via the Gram Matrix |
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| Authors: | B A Tay Hishamuddin Zainuddin |
| Institution: | Department of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, MalaysiaLaboratory of Computational Science and Informatics, Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia |
| Abstract: | We classify the orbits generated by unitary transformation on the density matrices of the three-state quantum systems (qutrits) via the Gram matrix. The Gram matrix is a real symmetric matrix formed from the Hilbert--Schmidt scalar products of the vectors lying in the tangent space to the orbits. Therank of the Gram matrix determines the dimensions of the orbits, which fall into three classes for qutrits. |
| Keywords: | 02 20 -a 03 65 Ta 03 67 -a |
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