中国物理B ›› 2008, Vol. 17 ›› Issue (4): 1165-1173.doi: 10.1088/1674-1056/17/4/003

• GENERAL • 上一篇    下一篇

Implementation of n-qubit Deutsch--Jozsa algorithm using resonant interaction in cavity QED

王洪福1, 张寿2   

  1. (1)Center for the Condensed-Matter Science and Technology, Harbin Institute of Technology, Harbin 150001, China; (2)Department of Physics, College of Science, Yanbian University, Yanji 133002, China
  • 收稿日期:2007-09-29 修回日期:2007-10-30 出版日期:2008-04-20 发布日期:2008-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60667001).

Implementation of n-qubit Deutsch--Jozsa algorithm using resonant interaction in cavity QED

Wang Hong-Fu(王洪福)a) and Zhang Shou(张寿)a)b)†   

  1. a Center for the Condensed-Matter Science and Technology, Harbin Institute of Technology, Harbin 150001, China; b Department of Physics, College of Science, Yanbian University, Yanji 133002, China
  • Received:2007-09-29 Revised:2007-10-30 Online:2008-04-20 Published:2008-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60667001).

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摘要： We propose a scheme to implement the n-qubit Deutsch--Jozsa algorithm based on resonant interaction between the atoms and a single-mode cavity. In the scheme, the resonant transitions between two ground states and one excited state of an atom are changed alternately by adjusting the cavity frequency appropriately, and the operations required to complete the algorithm can be significantly simplified following the increment of the number of qubits. The implementation of the scheme in experiment would show the full power of quantum algorithm and would be significative and important for more complicated quantum algorithm in cavity quantum electrodynamics.

Abstract: We propose a scheme to implement the n-qubit Deutsch--Jozsa algorithm based on resonant interaction between the atoms and a single-mode cavity. In the scheme, the resonant transitions between two ground states and one excited state of an atom are changed alternately by adjusting the cavity frequency appropriately, and the operations required to complete the algorithm can be significantly simplified following the increment of the number of qubits. The implementation of the scheme in experiment would show the full power of quantum algorithm and would be significative and important for more complicated quantum algorithm in cavity quantum electrodynamics.

Key words: Deutsch--Jozsa algorithm, cavity quantum electrodynamics, resonant interaction, CNOT gate operation

中图分类号:  (Algebraic methods)

  • 03.65.Fd
03.67.Lx (Quantum computation architectures and implementations) 42.50.Pq (Cavity quantum electrodynamics; micromasers)