Diffusion and transfer of entanglement in an array of inductively coupled flux qubits

Abstract

A theoretical scheme to generate multipartite entangled states in a Josephson planar-designed architecture is reported. This scheme improves the one published by Migliore et al. [Phys. Rev. B 74, 104503 (2006)] since it speeds up the generation of $W$ entangled states in an $M\ifmmode\times\else\texttimes\fi{}N$ array of inductively coupled Josephson flux qubits by reducing the number of necessary steps. In addition, the same protocol is shown to be able to transfer the $W$ state from one row to the other.