Abstract Quantum inverse problem (QIP) is the of estimating an unknown quantum system from a set measurements, whereas classical counterpart distribution observations. In this paper, we present neural-network-based method for QIPs, which has been widely explored its counterpart. The proposed utilizes quantumness QIPs and takes advantage computational power neural networks to achieve remarkable ...

the determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. for solving these ill-posed inverse problems, galerkin method based on sinc basis functions for space and time will be used. to solve the system of linear equation, a noise is imposed and tikhonove regularization is applied. by using a sensor located at a point in the domain of $x$, say $...