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Chinese Physics

Cluster states prepared by using hot trapped ions

Rong‐Can Yang, Hongcai Li, Lin Xiu, Huang Zhi-Ping

Published Aug 1, 2007• 5 citations
Publisher

Abstract

We propose a scheme for the preparation of one-dimensional and two-dimensional cluster states by using hot trapped ions. The scheme is based on the interaction between two ions and bichromatic radiation. The vibrational mode in our protocol is only virtually excited so that the system is insensitive to the thermal field. In addition, we only use two levels of ions as qubits and the successful probability may achieve 100%.

DOI
10.1088/1009-1963/16/8/011

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We propose a scheme for the preparation of one-dimensional and two-dimensional cluster states by using hot trapped ions. The scheme is based on the interaction between two ions and bichromatic radiation. The vibrational mode in our protocol is only virtually excited so that the system is insensitive to the thermal field. In addition, we only use two levels of ions as qubits and the successful probability may achieve 100%.
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We propose an efficient technique for creation of cluster states of trapped ions. The ions are addressed collectively, in only two interaction steps, by a pair of pulses tuned near the blue- and red-sideband transitions. The technique is very suitable for four-ion cluster states, for which the initial condition is the product state \ensuremath{\mid}0000⟩. Five- and six-ion cluster states require an initial preparation of one or two Bell states. Larger cluster states can be prepared by using four-ion cluster states as building blocks. The technique is insensitive to vibrational motion and hence to heating.