中国物理B ›› 2014, Vol. 23 ›› Issue (2): 24207-024207.doi: 10.1088/1674-1056/23/2/024207

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Applications of quantum Fourier transform in photon-added coherent state

任刚, 杜建明, 余海军   

  1. Department of Physics, Huainan Normal University, Huainan 232001, China
  • 收稿日期:2013-03-28 修回日期:2013-06-05 出版日期:2013-12-12 发布日期:2013-12-12
  • 基金资助:
    Project supported by the Natural Science Foundation of the Anhui Provincial Higher Education Institutions of China (Grant Nos. KJ2011Z339 and KJ2011Z359).

Applications of quantum Fourier transform in photon-added coherent state

Ren Gang (任刚), Du Jian-Ming (杜建明), Yu Hai-Jun (余海军)   

  1. Department of Physics, Huainan Normal University, Huainan 232001, China
  • Received:2013-03-28 Revised:2013-06-05 Online:2013-12-12 Published:2013-12-12
  • Contact: Yu Hai-Jun E-mail:renfeiyu@mail.ustc.edu.cn
  • About author:42.50.Dv; 03.65.Wj; 03.67.Mn
  • Supported by:
    Project supported by the Natural Science Foundation of the Anhui Provincial Higher Education Institutions of China (Grant Nos. KJ2011Z339 and KJ2011Z359).

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摘要： Quantum Fourier transform is realized by the Hadamard gate in a quantum computer, which can also be considered as a Hadamard transform. We introduce the Hadamard transformed photon-added coherent state (HTPACS), which is obtained by letting the photon-added coherent state (PACS) across the quantum Hadamard gate, from this result. It is found that the HTPACS can be considered as a coordinate–momentum mutual exchanging followed by a squeezing transform of the PACS. In addition, the non-classical statistical properties of HTPACS, such as squeezing coefficient, Mandel parameter, etc., are also discussed.

关键词: quantum Fourier transform, Hadamard gate, non-classical state

Abstract: Quantum Fourier transform is realized by the Hadamard gate in a quantum computer, which can also be considered as a Hadamard transform. We introduce the Hadamard transformed photon-added coherent state (HTPACS), which is obtained by letting the photon-added coherent state (PACS) across the quantum Hadamard gate, from this result. It is found that the HTPACS can be considered as a coordinate–momentum mutual exchanging followed by a squeezing transform of the PACS. In addition, the non-classical statistical properties of HTPACS, such as squeezing coefficient, Mandel parameter, etc., are also discussed.

Key words: quantum Fourier transform, Hadamard gate, non-classical state

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
03.65.Wj (State reconstruction, quantum tomography) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)