Applications of quantum Fourier transform in photon-added coherent state

doi:10.1088/1674-1056/23/2/024207

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.

Keywords: quantum Fourier transform Hadamard gate non-classical state

Received: 28 March 2013
Revised: 05 June 2013
Accepted manuscript online:

PACS:	42.50.Dv	(Quantum state engineering and measurements)
	03.65.Wj	(State reconstruction, quantum tomography)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the Natural Science Foundation of the Anhui Provincial Higher Education Institutions of China (Grant Nos. KJ2011Z339 and KJ2011Z359).

Corresponding Authors: Yu Hai-Jun
E-mail: renfeiyu@mail.ustc.edu.cn

About author: 42.50.Dv; 03.65.Wj; 03.67.Mn

Cite this article:

Ren Gang (任刚), Du Jian-Ming (杜建明), Yu Hai-Jun (余海军) Applications of quantum Fourier transform in photon-added coherent state 2014 Chin. Phys. B 23 024207

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