Examining the dimensionality of genuine multipartite entanglement

Title Genuine multipartite entanglement without multipartite correlations

Genuine multipartite entanglement in the cluster-Ising model

We evaluate and analyze the exact value of a measure for local genuine tripartite entanglement in the one-dimensional cluster-Ising model for spin1 2 particles. This model is attractive since cluster states are considered to be relevant sources for applying quantum algorithms and the model is experimentally feasible. Whereas bipartite entanglement is identically vanishing, we find that genuine ...

Device-independent witnesses of genuine multipartite entanglement.

We consider the problem of determining whether genuine multipartite entanglement was produced in an experiment, without relying on a characterization of the systems observed or of the measurements performed. We present an n-partite inequality that is satisfied by all correlations produced by measurements on biseparable quantum states, but which can be violated by n-partite entangled states, suc...

Characterizing Genuine Multipartite Entanglement in 2D Quantum Spin Lattices

We formulate an efficient method for characterizing and quantifying genuine multipartite entanglement in two-dimensional (2D) Heisenberg spin systems where the ground state is a large superposition obtained from nearest-neighbor dimer coverings on spin-1/2 lattices, the resonating valence bond (RVB) state. We find an analytical iterative method, the density matrix recursion method, to generate ...

Detecting genuine multipartite entanglement of pure states with bipartite correlations