Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity

Details Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity

2008-11-13

arxiv.org/abs/0811.2047v1

Phys. Rev. A 79(1), 012329 (2009)

Physics

Quantum Physics

9 pages

Scientific paper

10.1103/PhysRevA.79.012329

We propose replacing concurrence by convex-roof extended negativity (CREN) for studying monogamy of entanglement (MoE). We show that all proven MoE relations using concurrence can be rephrased in terms of CREN. Furthermore we show that higher-dimensional (qudit) extensions of MoE in terms of CREN are not disproven by any of the counterexamples used to disprove qudit extensions of MoE in terms of concurrence. We further test the CREN version of MoE for qudits by considering fully or partially coherent mixtures of a qudit W-class state with the vacuum and show that the CREN version of MoE for qudits is satisfied in this case as well. The CREN version of MoE for qudits is thus a strong conjecture with no obvious counterexamples.

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