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Entangled States with Positive Partial Transpose in Any-Dimensional Quantum System |
| WU Yu-Chun1;CHEN Ping-Xing1,2;ZHOU Zheng-Wei1;GUO Guang-Can1 |
| 1Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026
2Department of Applied Physics, National University of Defence Technology, Changsha 410073 |
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| Cite this article: |
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WU Yu-Chun, CHEN Ping-Xing, ZHOU Zheng-Wei et al 2005 Chin. Phys. Lett. 22 529-532 |
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Abstract It is well known that the positive partial transpose (PPT) criterion for determining separability is an operational separability criterion. However, in a high-dimensional (>6) situation, this criterion is not
sufficient. How can we judge whether an entangled state in any high-dimensional quantum system is PPT or not? Here we propose a linear algebra method for checking the positivity of the partial transpose of a state and present a set of entangled mixed states with non-positive partial transpose.
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| Keywords:
03.67.Hk
03.65.Ud
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Published: 01 March 2005
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| PACS: |
03.67.Hk
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(Quantum communication)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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