Quantum Variables in Finance and Neuroscience (Presentation Slides)

A path-integral algorithm, PATHINT, used previously for several systems, has been generalized from 1 dimension to N dimensions, and from classical to quantum systems, qPATHINT. Pilot quantum applications have been made to neocortical interactions and financial options in 1 dimension. Future work is planned to extend qPATHINT to multiple dimensions in these systems, and to extend calculations to multiple scales of interaction between classical events and expectations over quantum processes. Each of the two systems considered contribute insight into applications of qPATHINT to the other system, leading to new algorithms presenting time-dependent propagation of interacting quantum and classical scales.