Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices

TL;DR

This paper demonstrates that certain superposed dimer-covering states on isotropic spin lattices are genuinely multiparty entangled and introduces an efficient analytical method to quantify this entanglement, applicable to finite and infinite lattices.

Contribution

It presents a novel iterative analytical approach to characterize genuine multisite entanglement in isotropic square spin-1/2 lattices with short-range dimer coverings.

Findings

States are genuinely multiparty entangled regardless of lattice geometry.

The method accurately estimates entanglement in finite lattices.

Finite-size scaling provides entanglement estimates for infinite lattices.

Abstract

We consider a class of large superposed states, obtained from dimer coverings on spin-1/2 isotropic lattices, whose potential usefulness ranges from organic molecules to quantum computation. We show that they are genuinely multiparty entangled, irrespective of the geometry and dimension of the isotropic lattice. We then present an efficient method to characterize the genuine multisite entanglement in the case of isotropic square spin-1/2 lattices, with short-range dimer coverings. We use this iterative analytical method to calculate the multisite entanglement of finite-sized lattices, which through finite-size scaling, enables us to obtain the estimate of the multisite entanglement of the infinite square lattice. The method can be a useful tool to investigate other single- and multisite properties of such states.