Entanglement Conditions for Mixed SU(2) and SU(1, 1) Systems
We derive a class of inequalities for detecting entanglement in the mixed SU(2) and SU(1, 1) systems based on the Schrödinger-Robertson indeterminacy relations in conjugation with the partial transposition. These inequalities are in general stronger than those based on the usual Heisenberg uncertain...
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| Published in | International journal of theoretical physics Vol. 47; no. 5; pp. 1432 - 1440 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Boston
Springer US
01.05.2008
Springer Nature B.V |
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| Abstract | We derive a class of inequalities for detecting entanglement in the mixed SU(2) and SU(1, 1) systems based on the Schrödinger-Robertson indeterminacy relations in conjugation with the partial transposition. These inequalities are in general stronger than those based on the usual Heisenberg uncertainty relations for detecting entanglement. Furthermore, based on the complete reduction from SU(2) and SU(1, 1) systems to bosonic systems, we derive some entanglement conditions for two-mode systems. We also use the partial reduction to obtain some inequalities in the mixed SU(2) (or SU(1, 1)) and bosonic systems. |
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| AbstractList | We derive a class of inequalities for detecting entanglement in the mixed SU(2) and SU(1, 1) systems based on the Schrödinger-Robertson indeterminacy relations in conjugation with the partial transposition. These inequalities are in general stronger than those based on the usual Heisenberg uncertainty relations for detecting entanglement. Furthermore, based on the complete reduction from SU(2) and SU(1, 1) systems to bosonic systems, we derive some entanglement conditions for two-mode systems. We also use the partial reduction to obtain some inequalities in the mixed SU(2) (or SU(1, 1)) and bosonic systems. |
| Author | Song, Lijun Wang, Xiaoguang Yan, Dong Pu, Zhongsheng |
| Author_xml | – sequence: 1 givenname: Dong surname: Yan fullname: Yan, Dong email: ydbest@126.com organization: School of Science, Lanzhou University of Technology, Institute of Applied Physics, Changchun University – sequence: 2 givenname: Zhongsheng surname: Pu fullname: Pu, Zhongsheng organization: School of Science, Lanzhou University of Technology – sequence: 3 givenname: Lijun surname: Song fullname: Song, Lijun organization: Institute of Applied Physics, Changchun University, School of Science, Changchun University of Science and Technology – sequence: 4 givenname: Xiaoguang surname: Wang fullname: Wang, Xiaoguang organization: Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University |
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| Keywords | Heisenberg uncertainty relations Reduction Schrödinger-Robertson indeterminacy relations Entanglement conditions Partial transposition |
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| SubjectTerms | Conjugation Elementary Particles Entanglement Inequalities Mathematical and Computational Physics Physics Physics and Astronomy Quantum Field Theory Quantum Physics Reduction Theoretical |
| Title | Entanglement Conditions for Mixed SU(2) and SU(1, 1) Systems |
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