中国物理B ›› 2009, Vol. 18 ›› Issue (11): 4893-4900.doi: 10.1088/1674-1056/18/11/046

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Implementation of a many-qubit Grover search by cavity QED

黄学人1, 冯芒1, 范浩权2, 杨万里2   

  1. (1)State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China; (2)State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;Graduate School of the Chinese Academy of Sciences, Beijing 100049, China
  • 收稿日期:2009-04-01 修回日期:2009-05-06 出版日期:2009-11-20 发布日期:2009-11-20
  • 基金资助:
    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).

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)*   

  1. 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
  • Received:2009-04-01 Revised:2009-05-06 Online:2009-11-20 Published:2009-11-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: cavity QED, Grover search, controlled phase flip gate

中图分类号:  (Cavity quantum electrodynamics; micromasers)

  • 42.50.Pq
03.67.Lx (Quantum computation architectures and implementations) 03.65.Ud (Entanglement and quantum nonlocality) 42.50.Dv (Quantum state engineering and measurements)