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Three dimensional graph illustrator quantum random walker

The probability distribution for a single quantum random walker on the integer lattice, illustrated here, exhibits an interference phenomenon — a non-classical effect producing a pattern of high and low probability regions. The work of Axel Saenz Rodriguez focuses on models with high degrees of symmetry, such as the Ising-Heisenberg spin-1/2 chain model resulting in the probability distribution above, with the aim to precisely describe the evolution and pattern of the probability distribution for multiple interacting quantum random walkers.

Probability is a field of research concerned with quantifying and analyzing random structures and stochastic dynamics. It proved to be essential for data science, statistical mechanics, computer science, networks science, actuarial science, and finance. The applicability of probability theory and stochastic processes is ever-expanding.