A fast scheme for one-step preparation of a highly entangled cluster state in the ion-trap system

Abstract

We propose to implement a highly entangled cluster state (HECS) with only one step based on the resonant interactions among N two-level ions and two different standing-wave lasers with a phase difference of π/2. The time for preparation of the HECS is related only to the frequency of the vibrational mode ν (i.e. t=2π/ν). We can ensure that the preparation time is short enough by setting the larger vibrational mode frequency ν to neglect the effect of the decoherence of the qubits. During the process of preparing the HECS, the heating effect of the vibrational mode can be neglected and the initial qubits need only one evolution with the time interval t. The reduced operation steps and the shorter preparation time make the present scheme more feasible in experiments.

Multipartite entangled states with two bosonic modes and qubits

“…By initializing the system in these highly entangled states, and by properly choosing local measurements on the qubits (plus classical feed-forward), it is possible to achieve a universal model for quantum computing [62]. Previous schemes for generation of these states have been proposed [63][64][65][66][67], and experimental realization has also been reported [68][69][70][71].…”

One-Step Generation of Scalable Multiparticle Entanglement for Hot Ions Driven by a Standing-Wave Laser

“…Recently, we have noticed that a scheme for one-step preparation of cluster state in the ion-trap system was proposed. [18] However, the scheme requires two different standing-wave lasers with phase difference π/2; and the scheme only considers contribution of the center-of-mass vibrational mode, which is experimentally problematic. In our scheme, only one standing-wave laser is needed.…”

“…In our scheme, only one standing-wave laser is needed. Furthermore, unlike the scheme, [18] the ions do not need to be exactly positioned at the node of the standing-wave, which is also important from the viewpoint of experiment. Finally, we show in this letter the high fidelity multiparticle entanglement could be generated in just one step even including the small fluctuations of parameters.…”