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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Li, DC., Shi, ZK. Sufficient and Necessary Conditions of Entanglement Transformations Between Mixed States. Int J Theor Phys 50, 95–105 (2011). https://doi.org/10.1007/s10773-010-0497-9
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DOI: https://doi.org/10.1007/s10773-010-0497-9