Discrete optical Zeno effect for polarization of light

Quantum Zeno effect concerns deterministic dynamics of a quantum system induced by a series of projective quantum measurements. Applying this effect in optics, one can achieve an arbitrary lossless transformation of linear polarization of light with help of linear polarizers. However, to demonstrate this effect in practice, we have to take into account unavoidable losses in each polarizer that limits probability of successful transformations. In this work, we theoretically study a realistic quantum Zeno effect with an optimal discrete set of polarizers and find the maximum success probability

Non-Deterministic Computational Thinking

An educational paradigm that has improved problem-solving capacity is computational thinking, which uses characteristics such as decomposition, abstraction, pattern recognition, and algorithmic thinking. However, most of the resources developed under this paradigm are deterministic. However, the current world is not linear. Non-deterministic dynamics play a vital role in today's world. Decisions about the same fact can cause different events, and students must be prepared to live with such uncertainties. This article discusses challenges and possibilities in the development of non-deterministic computational thinking resources. This work shows a large field of research yet to be worked on, with new possibilities and a great potential to connect new resources with the students' daily lives.

Stability of non-linear filter for deterministic dynamics

<p style='text-indent:20px;'>This papers shows that nonlinear filter in the case of deterministic dynamics is stable with respect to the initial conditions under the conditions that observations are sufficiently rich, both in the context of continuous and discrete time filters. Earlier works on the stability of the nonlinear filters are in the context of stochastic dynamics and assume conditions like compact state space or time independent observation model, whereas we prove filter stability for deterministic dynamics with more general assumptions on the state space and observation process. We give several examples of systems that satisfy these assumptions. We also show that the asymptotic structure of the filtering distribution is related to the dynamical properties of the signal.</p>

Jealousy in Cooperation — A Comparison of Two Game-Based Approaches

We are interested in the question of how jealousy influences the dynamics of populations. In a previous paper, we investigated the impact of power and jealousy on cooperation. By using intelligent agents, a stochastic updating process has been used, so that artificial agent populations could be modelled. In this paper, we investigate update procedures based on deterministic dynamics for populations arranged in a lattice. Compared to stochastic processes, our findings show that populations behave and react far more dynamically, in certain parameter regions, when spatial cooperation is applied.