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

References in corpus (4)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• DMRG and periodic boundary conditions: a quantum information perspective
• Monogamy inequality for distributed Gaussian entanglement
• Ground state approximation for strongly interacting systems in arbitrary dimension

Cited by in corpus (4)

• Fully-connected network of superconducting qubits in a cavity
• Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
• State Transfer in Highly Connected Networks and a Quantum Babinet Principle
• Frustration, Area Law, and Interference in Quantum Spin Models