Quantum Path Integral Algorithm and Its Application in Magnetotelluric Inversion
Hongming Luo, Jiaying Wang, Shi Xue-ming, Peimin Zhu · Chinese Journal of Geophysics · 2007
Abstract A quantum path integral algorithm (QPIA) is proposed in this paper by introducing quantum conceptions, such as transverse field and propagator in quantum mechanics. Different from general methods, QPIA, which fully applies quantum‐tunneling effect, can improve inversion efficiency greatly in some aspects of convergent rate and avoid to be trapped in local minimum. By composing the objective function and regarding Feynman propagator as the acceptable probability, we accomplish the algorithm. Inversion results of one‐dimensional synthetic data set and real data set show that QPIA is more precise, stable convergent and fast compared with traditional nonlinear inversion methods to approach the real models.