Orbit classification of qutrit via the Gram matrix.
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....
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
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Institute of Physics
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/16000/ http://psasir.upm.edu.my/id/eprint/16000/1/Orbit%20classification%20of%20qutrit%20via%20the%20Gram%20matrix.pdf |
| _version_ | 1848842837473361920 |
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| author | Tay, Buang Ann Zainuddin, Hishamuddin |
| author_facet | Tay, Buang Ann Zainuddin, Hishamuddin |
| author_sort | Tay, Buang Ann |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T08:05:29Z |
| format | Article |
| id | upm-16000 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:05:29Z |
| publishDate | 2008 |
| publisher | Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-160002016-01-20T07:12:01Z http://psasir.upm.edu.my/id/eprint/16000/ Orbit classification of qutrit via the Gram matrix. Tay, Buang Ann Zainuddin, Hishamuddin 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. Institute of Physics 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/16000/1/Orbit%20classification%20of%20qutrit%20via%20the%20Gram%20matrix.pdf 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 10.1088/0256-307X/25/6/001 English |
| spellingShingle | Tay, Buang Ann Zainuddin, Hishamuddin Orbit classification of qutrit via the Gram matrix. |
| title | Orbit classification of qutrit via the Gram matrix. |
| title_full | Orbit classification of qutrit via the Gram matrix. |
| title_fullStr | Orbit classification of qutrit via the Gram matrix. |
| title_full_unstemmed | Orbit classification of qutrit via the Gram matrix. |
| title_short | Orbit classification of qutrit via the Gram matrix. |
| title_sort | orbit classification of qutrit via the gram matrix. |
| url | http://psasir.upm.edu.my/id/eprint/16000/ http://psasir.upm.edu.my/id/eprint/16000/ http://psasir.upm.edu.my/id/eprint/16000/1/Orbit%20classification%20of%20qutrit%20via%20the%20Gram%20matrix.pdf |