Orbit Classification of Qutrit via the Gram Matrix

B. A. Tay; Hishamuddin Zainuddin

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Orbit Classification of Qutrit via the Gram Matrix

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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. The rank of the Gram matrix determines the dimensions of the orbits, which fall into three classes for qutrits.

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《中国物理快报：英文版》 |2008年第6期|1923-1926|共4页
作者
B. A. Tay; Hishamuddin Zainuddin;
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Department of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia Laboratory of Computational Science and Informatics, Institute for Mathematical Research, Universiti Putra Malaysia,43400 UPM Serdang, Selangor, Malaysia;

Department of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia Laboratory of Computational Science and Informatics, Institute for Mathematical Research, Universiti Putra Malaysia,43400 UPM Serdang, Selangor, Malaysia;

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中图分类物理学;
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Orbit Classification of Qutrit via the Gram Matrix

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