Abstract
In this paper, we explore a chain of nano-rings connected by optical fibers (see Fig. 1). When in an excited or a ground state, an electron in each ring dictates a well-defined QCA rule of its ability to absorb or emit a photon. In other words, QCA rules, which are spanned by quantum laws, are carried out by a random process of the creation or annihilation of photons. To test the ability of this system to carry information, it is compared to a reference system defined based on the maximal Shannon entropy. We find that, in contrast to the reference system, the ring system can define exclusive patterns such as separate trajectories. We explore the example of trajectory formation and its reference systems both analytically and numerically to find their Shannon entropy. By introducing a new phenomenological type of state, we suggest an approach for describing QCA systems similar to the one proposed in this study.
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