A transition effect matrix (TEM) is a quantum generalization of a classical stochastic matrix. By employing a TEM we obtain a quantum generalization of a classical Markov chain. We first discuss state and operator dynamics for a quantum Markov chain. We then consider various types of TEMs and vector states. In particular, we study invariant, equilibrium and singular vector states and investigat...

The incredible catalytic rate enhancements caused by enzymes led Linus Pauling (1) to suggest that enzymes bind tightly to substrates distorted toward the transition state, thereby concentrating them and enforcing catalysis. Wolfenden (2) explained that chemically stable analogues that resemble the transition state would be expected to bind more tightly than substrate by factors resembling the ...

An unusual thermoelectric response was observed in n-type perovskite oxide La1-xCexCoO3. Combining transport and magnetic measurements, we found that the thermoelectric response is driven by the spin-state transition of Co3+. This transition destroys the spin blockade effect and induces an abrupt decrease of resistivity as well as an insulator-metal transition. In contrast to the resistivity ch...

A phase transition from a classical thermal mixed state to a quantum-mechanical pure state of exciton polaritons is observed in a GaAs multiple quantum-well microcavity from the decrease of the second-order coherence function. Supporting evidence is obtained from the observation of a nonlinear threshold behavior in the pump-intensity dependence of the emission, a polariton-like dispersion relat...

We calculate the Lyapunov exponents in a classical molecular dynamics framework. Yukawa and Slater-Kirkwood forces are considered in order to give an equation of state that resembles the nuclear and the atomic He equation of state, respectively, near the critical point for liquid-gas phase transition. The largest Lyapunov exponents l are always positive and can be very well fitted near the “cri...

Optimal solutions to Markov decision problems may be very sensitive with respect to the state transition probabilities. In many practical problems, the estimation of these probabilities is far from accurate. Hence, estimation errors are limiting factors in applying Markov decision processes to real-world problems. We consider a robust control problem for a finite-state, finite-action Markov dec...

The rates of intramolecular proton transfer are calculated on a full-dimensional reactive electronic potential energy surface that incorporates high level ab initio calculations along the reaction path and by using classical Transition State theory, Path-Integral Quantum Transition State Theory, and the Quantum Instanton approach. The specific example problem studied is malonaldehyde. Estimates...

This paper introduces a graphical notation called algebraic state transition diagrams (ASTD), which allows for the combination of state transition diagrams using classical process algebra operators like sequence, iteration, parallel composition, quantified choice and quantified synchronization. It is inspired from automata, statecharts and process algebras. Hence, it combines the strength of al...

In this paper we consider nonparametric estimation of transition probabilities for multi-state models. Specifically, we focus on the illness-death or disability model. The main novelty of the proposed estimators is that they do not rely on the Markov assumption, typically assumed to hold in a multi-state model. We investigate the asymptotic properties of the introduced estimators, such as their...