Application of Bipartite Entangled States to Quantum Mechanical Version of Complex Wavelet Transforms

Jun Song, Jun Zhou, Hao Yuan +2 more

Jun Song, Hong-Yi Fan, Ye‐Jun Xu +1 more

Fan Hong-Yi, Lu Hai-Liang, Xuefen Xu

We introduce the bipartite entangled states to present a quantum mechanical version of complex wavelet transform. Using the technique of integral within an ordered product of operators we show that the complex wavelet transform can be studied in terms of various quantum state vectors in two-mode Fock space. In this way the creterion for mother wavelet can be examined quantum-mechanically and therefore more deeply.

Hai-Sheng Li, Guiqiong Li, Haiying Xia

FANHong-Yi, LǖJian-Feng

Using the technique of integral within an ordered product (IWOP) of operators we show that the wavelet transform can be recasted to a matrix element of squeezing-displacing operator between the mother wavelet state vector and the state vector to be transformed in the context of quantum mechanics. In this way many quantum optical states'wavelet transform can be easily derived.

Zhiguo Zhang, Mark Kon