As the title says, what entanglement measures are known to satisfy the entanglement monogamy principle?
Im specially interested in those entanglement measures that apply to mixed states.
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asked Jul 27, 2021 at 12:17
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$\begingroup$ What is the "entanglement monogamy principle"? $\endgroup$– Norbert SchuchCommented Jul 27, 2021 at 14:47
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$\begingroup$ @NorbertSchuch I meant monogamy of entanglement. Should I edit that? $\endgroup$– FriendlyLagrangianCommented Jul 27, 2021 at 15:53
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$\begingroup$ Sure, but without stating clearly what you mean by that (quantitatively), I can probably bend the notion of monogamy so that it fits any entanglement measure. $\endgroup$– Norbert SchuchCommented Jul 27, 2021 at 17:33
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$\begingroup$ @NorbertSchuch I guess I mean then: given an entanglement measure $E(\rho_{A|B})$ that measures the entanglement between two bipartitons $A$ and $B$ of a system described by $\rho$ I understand as monogamy of entanglement the following inequality $$E(\rho_{A|B})+E(\rho_{A|C}) \leq E(\rho_{A|BC}),$$ where $C$ is a third partition. Having said that I'm interested in what you mean with you can probably bend the notion of monogamy to fit any entanglement measure :) $\endgroup$– FriendlyLagrangianCommented Jul 27, 2021 at 23:33
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1$\begingroup$ "The more parties you share the entanglement with, the less entangled you are with each party" $\endgroup$– Norbert SchuchCommented Jul 28, 2021 at 0:37
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