Quantum probabilities as Bayesian probabilities

Quantum Probabilities as Behavioral Probabilities

We demonstrate that behavioral probabilities of human decision makers share many common features with quantum probabilities. This does not imply that humans are some quantum objects, but just shows that the mathematics of quantum theory is applicable to the description of human decision making. The applicability of quantum rules for describing decision making is connected with the nontrivial pr...

Bayesian Brains without Probabilities

Bayesian explanations have swept through cognitive science over the past two decades, from intuitive physics and causal learning, to perception, motor control and language. Yet people flounder with even the simplest probability questions. What explains this apparent paradox? How can a supposedly Bayesian brain reason so poorly with probabilities? In this paper, we propose a direct and perhaps u...

Bayesian posterior probabilities: revisited

Huelsenbeck and Rannala (2004, Systematic Biology 53, 904–913) presented a series of simulations in order to assess the extent to which the bayesian posterior probabilities associated with phylogenetic trees represent the standard frequentist statistical interpretation. They concluded that when the analysis model matches the generating model then the bayesian posterior probabilities are correct...

Quantum Conditional Probabilities Are Not Probabilities of Quantum Conditional

Quantum Mechanics as Generalised Theory of Probabilities

The thesis I will defend here comprises two propositions: Firstly, quantum mechanics is not a physical theory that happens to make use of probability calculus; it is itself a generalised form of probability calculus, doubled by a procedure of evaluation that is probabilistic by way of its controlled usage of symmetries. Secondly, quantum mechanics does not have merely a predictive function like...