vix.ing · top · new · best · stats · spec

Monogamy and ground-state entanglement in highly connected systems

2007/01/31 by Alessandro Ferraro, Artur García-Sáez, Artur Garcia-Saez +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Combinatorics #Computer science #Condensed matter physics #Degree (music) #Frustration #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum many-body systems #Quantum mechanics #State (computer science) #Topology (electrical circuits) #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physreva.76.052321

published as Phys. Rev. A 76, 052321 (2007) · 7 pages, 11 figures. Considerably extended version, with new numerical and analytical results

openalex publication_date 2007/11/21 · arxiv created 2007/11/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

Cited by