A scheme of quantum phase gate for trapped ion |
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Authors: | Cai Jian-Wu Fang Mao-F Zheng Xiao-Juan and Liao Xiang-Ping |
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Institution: | College of Physics and Information Science, Hunan Normal University, Changsha 410081, China; Department of Physics Science and electronics, Zhuzhou Teacher's College, Zhuzhou 412007, China; School of Physics Science and Technology, Central South University, Changsha 410082, China |
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Abstract: | We propose a scheme to implement two-qubit controlled quantum phase
gate(CQPG) via a single trapped two-level ion located
in the standing wave field of a quantum cavity, in which the trap works
beyond the Lamb--Dicke limit.
When the
light field is resonant with the atomic transition
$|g\rangle\leftrightarrow|e\rangle$ of the ion located at the
antinode of the standing wave, we can perform CQPG between the
internal and external states of the trapped ion; while the frequency
of the light field is chosen to be resonant with the first red
sideband of the collective vibrational mode of the ion located at
the node of the standing wave, we can perform CQPG between the
cavity mode and the collective vibrational mode of the trapped ion.
Neither the Lamb--Dicke approximation nor the assistant classical
laser is needed. Also we can generate a GHZ state if assisted with
a classical laser. |
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Keywords: | quantum phase gate single trapped ion single quantum cavity mode GHZ state |
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