The fourtangle in the transverse XY model

Abstract

We analyze the entanglement measure $C_4$ for mixed states in general and for the transverse XY model. We come to the conclusion that it cannot serve alone for guaranteeing an entanglement of $GH{Z}_4$-type. The genuine negativity calculated in Ref.~\cite{Hofmann14} isn't sufficient for that either and some additional measure of entanglement must be considered. In particular we study the transverse XY-model and find a non-zero $C_4$ measure which is of the same order of magnitude than the genuine negativity. Furthermore, we observe a feature in the $C_4$ values that resembles a destructive interference with the underlying concurrence.

7 pages, 17 figures, revtex4

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Cited by in corpus (2)

• Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 $XY$ chain
• Threetangle in the XY-model class with a non-integrable field background