Monogamy and ground-state entanglement in highly connected systems

Abstract

We consider the ground-state entanglement in highly connected many-body systems, consisting of harmonic oscillators and spin-1/2 systems. Varying their degree of connectivity, we investigate the interplay between the enhancement of entanglement, due to connections, and its frustration, due to monogamy constraints. Remarkably, we see that in many situations the degree of entanglement in a highly connected system is essentially of the same order as in a low connected one. We also identify instances in which the entanglement decreases as the degree of connectivity increases.

7 pages, 11 figures. Considerably extended version, with new numerical and analytical results

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• Should Entanglement Measures be Monogamous or Faithful?
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• Fully-connected network of superconducting qubits in a cavity
• Frustration, Entanglement, and Correlations in Quantum Many Body Systems
• Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
• Polynomial Monogamy Relations for Entanglement Negativity
• State Transfer in Highly Connected Networks and a Quantum Babinet Principle
• Information sharing in Quantum Complex Networks
• Ring frustration and factorizable correlation functions of critical spin rings
• Frustration, Area Law, and Interference in Quantum Spin Models
• Global-to-local incompatibility, monogamy of entanglement, and ground-state dimerization: Theory and observability of quantum frustration in systems with competing interactions
• A Quantum Information Perspective on Many-Body Dispersive Forces