Informatics computing fundamentals

Rabi oscillations are periodical transitions of a two-state quantum system between its stationary states in the presence of an oscillatory driving field, see e.g. [1], Besides the fundamental interest, the effect of Rabi oscillations is promising for realization of binary logic and optical control in quantum informatics and quantum computing. 

The equation (5) is the Yang-Baxter equation and its solutions are by themselves very important for quantum computing [12]. The group Bn is an extension the symmetric group S and as was discovered very recently. Bn has a very rich representation theory including dense sets of unitary transformations [3,10,4,5] and which again is the fundamental importance for the quantum computation in particular and the quantum informatics in general. 

Since the beginning of the informatics revolution in the 50 s of the past century, major effort has been put in developing reliable mathematical and physical computational models of complex systems at different resolutions. In bottom-up approaches, the aim is to establish computational models based on fundamental physical principles that are able to predict the behaviour of the system of interest (Fig. 2). At the most fundamental level, quantum mechanics approaches can be used to treat relatively small-sized molecular systems (up to 10 atoms, and for times of the order of s). 

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