Detection of the quantum states containing at most k-1 unentangled particles |
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Affiliation: | 1.School of Mathematics and Science, Hebei GEO University, Shijiazhuang 050031, China;2.School of Mathematics and Statistics, Shangqiu Normal University, Shangqiu 476000, China;3.School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China;4.College of Physics, Hebei Normal University, Shijiazhuang 050024, China |
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Abstract: | There are many different classifications of entanglement for multipartite quantum systems, one of which is based on the number of the unentangled particles. In this paper, we mainly study the quantum states containing at most k-1 unentangled particles and provide several entanglement criteria based on the different forms of inequalities, which can both identify quantum states containing at most k-1 unentangled particles. We show that these criteria are more effective for some states by concrete examples. |
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Keywords: | multipartite entanglement k-1 unentangled particles Cauchy-Schwarz inequality |
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