We present a general phase matching condition for the quantum search algorithm with arbitrary unitary transformation and arbitrary phase rotations in the case of a general initial state. We show by an explicit expression that the phase matching condition depends both on the unitary transformation U and the initial state. We show that several phase conditions previously discussed in the literatu...

Glass-like arrest has recently been reported in various magnetic materials. As in structural glasses, the kinetics of a first order transformation is arrested while retaining the higher entropy phase as a non-ergodic state. We show visual mesoscopic evidence of the irreversible transformation of the arrested antiferromagnetic-insulating phase in Pr(0.5)Ca(0.5)Mn(0.975)Al(0.025)O(3) to its equil...

The transformation pathway in high-pressure solid nitrogen from N2 molecular state to polymeric cg-N phase was investigated by means of ab initio molecular dynamics and metadynamics simulations. In our study, we observed a transformation mechanism starting from molecular Immm phase that initiated with formation of trans-cis chains. These chains further connected within layers and formed a chain...

Conical intersections are now known to be involved in a large variety of photochemical transformations. In this paper, we present a simple method for determining the existence of a conical intersection for a given chemical reaction. The method, based on the phase change theorem, is easy to apply, does not require quantum chemical calculations, and uses ground state surface properties only. The ...

Some quality characteristics are well defined when treated as response variables and are related to some independent variables. This relationship is called a profile. Parametric models, such as linear models, may be used to model profiles. However, in practical applications due to the complexity of many processes it is not usually possible to model a process using parametric models.In these cas...