A 9 × 9 matrix representation of Temperley-Lieb algebra and corresponding entanglement
We present the matrix U. The 9 × 9 U matrix is a representation of specialized Temperley-Lieb algebra. Based on which, a unitary R matrix is generated via the Yang-Baxterization approach. The 9 × 9 R matrix, a solution of the Yang-Baxter equation, is universal for quantum entanglement.
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| Published in | Chinese physics B Vol. 21; no. 2; pp. 94 - 97 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.02.2012
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| Subjects | |
| Online Access | Get full text |
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| Summary: | We present the matrix U. The 9 × 9 U matrix is a representation of specialized Temperley-Lieb algebra. Based on which, a unitary R matrix is generated via the Yang-Baxterization approach. The 9 × 9 R matrix, a solution of the Yang-Baxter equation, is universal for quantum entanglement. |
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| Bibliography: | We present the matrix U. The 9 × 9 U matrix is a representation of specialized Temperley-Lieb algebra. Based on which, a unitary R matrix is generated via the Yang-Baxterization approach. The 9 × 9 R matrix, a solution of the Yang-Baxter equation, is universal for quantum entanglement. Gou Li-Dan Zhu Rui-Han School of Science, Changchun University of Science and Technology, Changchun 130022, China 11-5639/O4 Temperley-Lieb algebra. Yang-Baxter equation, entanglement |
| ISSN: | 1674-1056 2058-3834 |
| DOI: | 10.1088/1674-1056/21/2/020305 |