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Chinese Physics Letters

Scalable Generation of Cluster State for Multiple Hot Trapped Ions

Guangling Cheng, Xiangming Hu

Published Apr 1, 2008• 1 citation
Publisher

Abstract

We propose an alternative scheme for preparing N-qubit cluster state by using a frequency-modulated laser field to simultaneously illuminate the trapped ions. Selecting the index of modulation yields the selective mechanisms of coupling and decoupling between the internal and external states of the ions. Based on the selective mechanisms, the highly entangled cluster state is achieved. In our scheme, the vibration mode is only virtually excited. Thus the quantum operations are insensitive to the heating and lead to the high-fidelity quantum information processing.

DOI
10.1088/0256-307x/25/4/010

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We propose an alternative scheme for preparing N-qubit cluster state by using a frequency-modulated laser field to simultaneously illuminate the trapped ions. Selecting the index of modulation yields the selective mechanisms of coupling and decoupling between the internal and external states of the ions. Based on the selective mechanisms, the highly entangled cluster state is achieved. In our scheme, the vibration mode is only virtually excited. Thus the quantum operations are insensitive to the heating and lead to the high-fidelity quantum information processing.
We present an alternative scheme for implementing the unconventional geometric two-qubit phase gate and preparing multiqubit entanglement by using a frequency-modulated laser field to simultaneously illuminate all ions. Selecting the index of modulation yields selective mechanisms for coupling and decoupling between the internal and the external states of the ions. By the selective mechanisms, we obtain the unconventional geometric two-qubit phase gate, multiparticle Greenberger—Horne—Zeilinger states and highly entangled cluster states. Our scheme is insensitive to the thermal motion of the ions.
An alternative scheme is proposed for one-step generation of multiparticle cluster state with trapped ions in thermal motion. In this scheme, the ions are simultaneously illuminated by a standing-wave laser tuned to the carrier. During the operations, the vibrational mode is virtually excited, thus the quantum operations are insensitive to the heating. It is shown that the high fidelity multiparticle entanglement could be generated in just one step even including the small fluctuations of parameters. In addition, the ion does not need to be exactly positioned at the node of the standing wave, which is also important from the viewpoint of experiment.
We propose a simple and fast scheme for producing maximally entangled states for many trapped ions. The scheme only requires a single laser beam tuned to the ionic carrier frequency. Our scheme works in the regime, where the Rabi frequency is of the order of the vibrational frequency. Our scheme operates in a fast way and is insensitive to heating of vibrational motion, which is important in view of decoherence. Thus, our scheme opens promising prospects for entanglement engineering in a scalable way.
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.
This paper proposes a simple scheme to generate a four-atom entangled cluster state in cavity quantum electrodynamics. With the assistantce of a strong classical field the cavity is only virtually excited and no quantum information will be transferred from the atoms to the cavity during the preparation for a four-atom entangled cluster state, and thus the scheme is insensitive to the cavity field states and cavity decay. Assuming that deviation of laser intensity is 0.01 and that of simultaneity for the interaction is 0.01, it shows that the fidelity of the resulting four-atom entangled cluster state is about 0.9886. The scheme can also be used to generate a four-ion entangled cluster state in a hot trapped-ion system. Assuming that deviation of laser intensity is 0.01, it shows that the fidelity of the resulting four-ion entangled cluster state is about 0.9990. Experimental feasibility for achieving this scheme is also discussed.