40 research outputs found
Observables Generalizing Positive Operator Valued Measures
We discuss a generalization of POVM which is used in quantum-like modeling of
mental processing.Comment: arXiv admin note: text overlap with arXiv:0711.136
Applying Quantum Principles to Psychology
This article starts out with a detailed example illustrating the utility of
applying quantum probability to psychology. Then it describes several
alternative mathematical methods for mapping fundamental quantum concepts (such
as state preparation, measurement, state evolution) to fundamental
psychological concepts (such as stimulus, response, information processing).
For state preparation, we consider both pure states and densities with
mixtures. For measurement, we consider projective measurements and positive
operator valued measurements. The advantages and disadvantages of each method
with respect to applications in psychology are discussed.Comment: one of the aims of this review paper is to attract attention of
experts in quantum information and probability (as well as in quantum
foundations) to a new rapidly growing field of applications of quantum
theory. The paper establishes the correspondence between concepts of quantum
theory and concepts of cognitive science and psychology. Submitted to Physica
Script