Abstract
In (Phys Lett A, 2002, 297: 4–8) an entanglement criterion for finite-dimensional bipartite systems is proposed: If ρ AB is a separable state, then Tr(ρ 2 A ) ⩾ Tr(ρ 2) and Tr(ρ 2 B ) ⩾ Tr(ρ 2). In the present paper this criterion is extended to infinite-dimensional bipartite and multipartite systems. The reduction criterion presented in (Phys Rev A, 1999, 59: 4206–4216) is also generalized to infinite-dimensional case. Then it is shown that the former criterion is weaker than the later one.
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Wang, Y., Hou, J. & Guo, Y. An entanglement criterion for states in infinite-dimensional multipartite quantum systems. Chin. Sci. Bull. 57, 1643–1647 (2012). https://doi.org/10.1007/s11434-012-5111-5
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DOI: https://doi.org/10.1007/s11434-012-5111-5