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Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B

A quantum wavelet for quantum optics

Giacomo Mauro D’Ariano, B. DeFacio

Published Jul 1, 1993• 1 citation
Publisher
DOI
10.1007/bf02741873

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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.
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