基于纠缠态表象的复脊波变换理论

Theory of complex ridgelet transform based on the entangled state

本文基于连续变量量子态构造小波变换的研究结果,从经典信息的连续脊波变换出发,利用有序算符内ket-bra型积分,构造连续复脊波变换对应的量子算符和表象表示,采用表象的内积运算与态矢投影展开,研究量子光学态的复脊波变换理论.

Based on the results of constructing the wavelet transform in continuous variable quantum state and the classical continuous ridgelet transform, we construct the continuous complex ridgelet transform in the expression of quantum operators and representations. We study the theory of the complex ridgelet transform in quantum optic state via calculating the inner product and projection of quantum states.