Chin. Phys. Lett.  2005, Vol. 22 Issue (3): 529-532    DOI:
Original Articles |
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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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.

Keywords: 03.67.Hk      03.65.Ud     
Published: 01 March 2005
PACS:  03.67.Hk (Quantum communication)  
  03.65.Ud (Entanglement and quantum nonlocality)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2005/V22/I3/0529
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WU Yu-Chun
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GUO Guang-Can
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