| Original Articles |
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Partial Transposition on Bipartite System |
| REN Xi-Jun;HAN Yong-Jian;WU Yu-Chun;GUO Guang-Can |
| Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026 |
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| Cite this article: |
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REN Xi-Jun, HAN Yong-Jian, WU Yu-Chun et al 2008 Chin. Phys. Lett. 25 35-38 |
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Abstract Many properties of partial transposition are unclear as yet. Here we carefully consider the number of the negative eigenvalues of ρT (ρ's partial transposition) when ρ is a two-partite state. There is strong evidence to show that the number of negative eigenvalues of ρT is N(N-1)/2 at most when ρ is a state in Hilbert space CN×CN. For the special case, the 2×2 system,
we use this result to give a partial proof of the conjecture |ρT|T≥0. We find that this conjecture is strongly connected with the entanglement of the state corresponding to the negative eigenvalue of ρ^T or the negative entropy of ρ.
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| Keywords:
03.67.Mn
03.65.Ud
03.67.-a
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Received: 23 July 2007
Published: 27 December 2007
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| PACS: |
03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.-a
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(Quantum information)
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