Wavelet-Transform Spectrum for Quantum Optical States
SONG Jun1,2, FAN Hong-Yi1
1Department of Material Science and Engineering, University of Science and Technology of China, Hefei 2300262Department of Mathematics and Physics, West Anhui University, Lu'an 237012
Wavelet-Transform Spectrum for Quantum Optical States
SONG Jun1,2, FAN Hong-Yi1
1Department of Material Science and Engineering, University of Science and Technology of China, Hefei 2300262Department of Mathematics and Physics, West Anhui University, Lu'an 237012
摘要In the context of quantum mechanics we employ the technique of integration within an ordered product of operators to recast the classical wavelet transform to a squeezing-displacing transform between the mother wavelet vector and the state vector to be transformed. In this way we propose the wavelet-transform spectrum for quantum optical states. For some typical states we obtain numerical results which imply that the spectrum can be used to recognize a variety of quantum optical states, and the inverse wavelet transform has the possibility to play a role in quantum state engineering.
Abstract：In the context of quantum mechanics we employ the technique of integration within an ordered product of operators to recast the classical wavelet transform to a squeezing-displacing transform between the mother wavelet vector and the state vector to be transformed. In this way we propose the wavelet-transform spectrum for quantum optical states. For some typical states we obtain numerical results which imply that the spectrum can be used to recognize a variety of quantum optical states, and the inverse wavelet transform has the possibility to play a role in quantum state engineering.
SONG Jun;FAN Hong-Yi. Wavelet-Transform Spectrum for Quantum Optical States[J]. 中国物理快报, 2010, 27(2): 24210-024210.
SONG Jun, FAN Hong-Yi. Wavelet-Transform Spectrum for Quantum Optical States. Chin. Phys. Lett., 2010, 27(2): 24210-024210.
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2010, Vol. 27 
