Sufficient and Necessary Conditions of Entanglement Transformations Between Mixed States |
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Authors: | De-Chao Li Zhong-Ke Shi |
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Affiliation: | 1.School of Mathematics, Physics and Information Science,Zhejiang Ocean University,Zhoushan,China;2.College of Automation,Northwestern Polytechnical University,Xi’an,China |
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Abstract: | Based on a new measure of entanglement for finite-dimensional bi-particle pure states, we give sufficient and necessary conditions that a bi-particle mixed state ρ can be transformed into another mixed state σ by local operations and classical communication (LOCC). This result can be regarded as a generalization of Nielsen’s theorem (Nielsen, Phys. Rev. Lett. 83:436, 1999). However, we find that it is more difficult to determine the entanglement transformations between mixed states than to do between pure ones. |
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