In this work, we investigate a toy model in empty flat space which captures essential features of the monogamy paradox for flat space black holes within a clean calculational framework. We formulate the paradox in terms of monogamy of CHSH correlations, which we use to quantify the monogamy of entanglement. Within effective field theory, we show that the entanglement of approximately local bulk modes just outside a light cone with modes just inside the light cone as well as with modes situated far away at the past of future null infinity gives rise to an O(1) violation in the monogamy of entanglement. An essential feature of this violation is that small corrections of O( $\sqrt{G_N}$ ) do not resolve the same. We argue that the resolution of the paradox is that our spatially separated observables probe the same underlying degrees of freedom, i.e., such observables act on a non-factorized Hilbert space, thereby circumventing the conflict with monogamy of entanglement.In this work, we investigate a toy model in empty flat space which captures essential features of the monogamy paradox for flat space black holes within a clean calculational framework. We formulate the paradox in terms of monogamy of CHSH correlations, which we use to quantify the monogamy of entanglement. Within effective field theory, we show that the entanglement of approximately local bulk modes just outside a light cone with modes just inside the light cone as well as with modes situated far away at the past of future null infinity gives rise to an O(1) violation in the monogamy of entanglement. An essential feature of this violation is that small corrections of O($\sqrt{G_N}$) do not resolve the same. We argue that the resolution of the paradox is that our spatially separated observables probe the same underlying degrees of freedom, i.e., such observables act on a non-factorized Hilbert space, thereby circumventing the conflict with monogamy of entanglement.

Jul 16, 20213 citations

Entangleability of cones

Guillaume Aubrun, Ludovico Lami, Carlos Palazuelos +1 more

arXiv:1911.09663Geometric and Functional AnalysisApr 1, 202138 citations

Unified monogamy relation of entanglement measures

Xue Yang, Ming-Xing Luo

arXiv:2007.04520Quantum Information ProcessingMar 1, 20217 citations

\sqrt{G_N}

) do not resolve the same. We argue that the resolution of the paradox is that our spatially separated observables probe the same underlying degrees of freedom, i.e., such observables act on a non-factorized Hilbert space, thereby circumventing the conflict with monogamy of entanglement.