Storage of Entangled States with Multiple Trapped Ions in ThermalMotion

Abstract

This paper presents an alternative scheme to realize the storage of entangledstates for multiple trapped ions including W state, Bell states, and GHZstates even with ions which exchange vibrational energy with a heatingsurrounding. Our scheme requires that the ions be simultaneously excited bytwo laser beams with different frequencies. In this scheme the vibrationaldegrees of freedom are only regarded as intermediate states and the ionsexchange energy via the mediation of the vibration of the vibrational modein coupling processes. The scheme is insensitive to both the initialvibrational state and heating if the system remains in the Lamb–Dicke regime.Since the effective Rabi frequency has a small dependence on the vibrationalquantum number the heating will have no direct effect on the internal state evolution.