Quantum probability was developed in the 1980s as a noncommutative analog of the Kolmogorovian theory of stochastic processes . One of its aims is to clarify the mathematical foundations of quantum theory and its statistical interpretation.
A significant recent application to physics is the dynamical solution of the quantum measurement problem, by giving constructive models of quantum observation processes which resolve many famous paradoxes of quantum mechanics.
Some recent advances are based on quantum stochastic filtering and feedback control theory as applications of quantum stochastic calculus.
Read more about Quantum Probability: Orthodox Quantum Mechanics, Mathematical Definition
Famous quotes containing the words quantum and/or probability:
“A personality is an indefinite quantum of traits which is subject to constant flux, change, and growth from the birth of the individual in the world to his death. A character, on the other hand, is a fixed and definite quantum of traits which, though it may be interpreted with slight differences from age to age and actor to actor, is nevertheless in its essentials forever fixed.”
—Hubert C. Heffner (1901–1985)
“Crushed to earth and rising again is an author’s gymnastic. Once he fails to struggle to his feet and grab his pen, he will contemplate a fact he should never permit himself to face: that in all probability books have been written, are being written, will be written, better than anything he has done, is doing, or will do.”
—Fannie Hurst (1889–1968)