Complex Wavelet Transform of the Two-mode Quantum States |
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Authors: | Email author" target="_blank">Jun?SongEmail author Jun?Zhou Hao?Yuan Rui?He Hong-Yi?Fan |
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Institution: | 1.Department of Material and Chemical Engineering,West Anhui University,Lu’an,China;2.Department of Material Science and Engineering,University of Science and Technology of China,Hefei,China |
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Abstract: | By employing the bipartite entangled state representation and the technique of integration within an ordered product of operators, the classical complex wavelet transform of a complex signal function can be recast to a matrix element of the squeezing-displacing operator U 2(μ, σ) between the mother wavelet vector 〈ψ| and the two-mode quantum state vector |f〉 to be transformed. 〈ψ|U 2(μ, σ)|f〉 can be considered as the spectrum for analyzing the two-mode quantum state |f〉. In this way, for some typical two-mode quantum states, such as two-mode coherent state and two-mode Fock state, we derive the complex wavelet transform spectrum and carry out the numerical calculation. This kind of wavelet-transform spectrum can be used to recognize quantum states. |
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