We compare the classical Kolmogorov and quantum probability models. We show that the gap between these model is not so huge as it was commonly believed. The main structures of quantum theory (interference of probabilities, Born's rule, complex probabilistic amplitudes, Hilbert state space, representation of observables by operators) are present in a latent form in the Kolmogorov model. In parti...

The explicit form of the zeroth Green's function in the Hückel model, approximated by the negative of the inverse of the Hückel matrix, has direct quantum interference consequences for molecular conductance. We derive a set of rules for transmission between two electrodes attached to a polyene, when the molecule is extended by an even number of carbons at either end (transmission unchanged) or ...

1 Quantum Interference & Entanglement Description (QIE) 2 Quantum Interference & Entanglement Pictures 3 Before the 1st Day of Lab Objectives for this experiment 4 Introduction 4.1 Bell's Theorem and the CHSH Inequality 5 Experimental Setup 5.1 Overview 5.2 Laser Diode 5.3 BBOs 5.4 Detection 5.5 Coincidence Counting 5.6 Proper Start-up Procedure 6 Alignment 6.1 Violet Beam Path 6.2 Infrared Bea...

It is first pointed out that there is a common mathematical model for the universe and the quantum computer. The former is called the histories approach to quantum mechanics and the latter is called measurement based quantum computation. Although a rigorous concrete model for the universe has not been completed, a quantum measure and integration theory has been developed which may be useful for...

1 Quantum Interference & Entanglement Description (QIE) 2 Quantum Interference & Entanglement Pictures 3 Before the 1st Day of Lab Objectives for this experiment 4 Introduction 4.1 Bell's Theorem and the CHSH Inequality 5 Experimental Setup 5.1 Overview 5.2 Laser Diode 5.3 BBOs 5.4 Detection 5.5 Coincidence Counting 5.6 Proper Start-up Procedure 6 Alignment 6.1 Violet Beam Path 6.2 Infrared Bea...

We present a general classification of the conditions under which cognitive science, concerned, e.g. with decision making, requires the use of quantum theoretical notions. The analysis is done in the frame of the mathematical approach based on the theory of quantum measurements. We stress that quantum effects in cognition can arise only when decisions are made under uncertainty. Conditions for ...

We present new results of interference experiments for undergraduates that underscore the quantum nature of the light. The experiments use parametric down-conversion to generate pairs of correlated photons. The experiments involve oneand two-photon interference schemes that rely on first and second-order coherence effects. They can be used as a complement to teaching quantum mechanics or quantu...