Generation of a genuine six-partite entangled state in trapped-ion system

Abstract

Recently, a genuine six-qubit entangled state |six> has been proposed [Chen P X, et al. Phys Rev A, 2006, 74: 032324]. This state does not belong to the well-known three types of multipartite entangled states, i.e., Greenberger-Horne-Zeilinger (GHZ) state, W state, and linear cluster state. This state has many potential applications in quantum information processing. We propose a scheme for generating such a genuine six-qubit entangled state for trapped ions in thermal motion. The scheme is insensitive to both the initial motional state and heating.