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Orbit classification of qutrit via the Gram matrix.


Citation

Tay, Buang Ann and Zainuddin, Hishamuddin (2008) Orbit classification of qutrit via the Gram matrix. Chinese Physics Letters, 25 (6). pp. 1923-1926. ISSN 0256-307X

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


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: 10.1088/0256-307X/25/6/001
Publisher: Institute of Physics
Keywords: Qutrit; Gram matrix; Density matrix.
Depositing User: Najwani Amir Sariffudin
Date Deposited: 22 Aug 2013 07:29
Last Modified: 20 Jan 2016 07:12
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/0256-307X/25/6/001
URI: http://psasir.upm.edu.my/id/eprint/16000
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