Implementation of a many-qubit Grover search by cavity QED
Fan Hao-Quan(范浩权)a)b),Yang Wan-Li(杨万里)a)b)†, Huang Xue-Ren(黄学人)a)‡, and Feng Mang(冯芒) a)*
a State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China; b Graduate School of the Chinese Academy of Sciences, Beijing 100049, China
Abstract We explore the possibility of an N-qubit (N>3) Grover search in cavity QED, based on a fast operation of an N-qubit controlled phase-flip with atoms in resonance with the cavity mode. We demonstrate both analytically and numerically that our scheme can be achieved efficiently to find a marked state with high fidelity and high success probability. As an example, a ten-qubit Grover search is simulated specifically under the discussion of experimental feasibility and challenge. We argue that our scheme is applicable to the case involving an arbitrary number of qubits. As cavity decay is involved in our quantum trajectory treatment, we can analytically understand the implementation of a Grover search subject to dissipation, which will be very helpful for relevant experiments.
Received: 01 April 2009
Revised: 06 May 2009
Accepted manuscript online:
Fund: Project supported by National
Natural Science Foundation of China (Grant Nos 10474118, 60490280
and 10774161), and partly by the National Fundamental Research
Program of China (Grants Nos 2005CB724502 and 2006CB921203).
Cite this article:
Fan Hao-Quan(范浩权),Yang Wan-Li(杨万里), Huang Xue-Ren(黄学人), and Feng Mang(冯芒) Implementation of a many-qubit Grover search by cavity QED 2009 Chin. Phys. B 18 4893
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