Surface Entanglement in Quantum Spin Networks

Abstract

We study the ground-state entanglement in systems of spins forming the boundary of a quantum spin network in arbitrary geometries and dimensionality. We show that as long as they are weakly coupled to the bulk of the network, the surface spins are strongly entangled, even when distant and non directly interacting, thereby generalizing the phenomenon of long-distance entanglement occurring in quantum spin chains. Depending on the structure of the couplings between surface and bulk spins, we discuss in detail how the patterns of surface entanglement can range from multi-pair bipartite to fully multipartite. In the context of quantum information and communication, these results find immediate application to the implementation of quantum routers, that is devices able to distribute quantum correlations on demand among multiple network nodes.

8 pages, 8 figures

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• Simulating long-distance entanglement in quantum spin chains by superconducting flux qubits
• Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel
• Demonstration of long-range correlations via susceptibility measurements in a one-dimensional superconducting Josephson spin chain
• Entanglement Amplification in the Non-Perturbative Dynamics of Modular Quantum Systems
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors