Quantum Cellular Automata and Quantum Walks

Dear Colleagues,

Quantum Cellular Automata (QCAs) and Quantum Walks (QWs) are a versatile platform for various scopes. On one hand, they have been used for empowering quantum algorithms, such as database searches, or graph isomorphisms. On the other hand, QCAs and QWs are among the most promising quantum simulators, with possible realizations in a variety of physical systems, such as nuclear magnetic resonance, trapped ions, integrated photonics, and bulk optics. From a fundamental standpoint, QCAs and QWs are outstanding candidates to understand quantum dynamics from an information-theoretic perspective. In particular, they are the ideal framework for studying the principles of locality and causality of the physical laws. A distinctive feature of the research activity in Quantum Cellular Automata and Quantum Walks is its multidisciplinary nature, linking quantum mechanics, many body physics, particle physics, computer science and discrete mathematics. The goal of this Special Issue is to collect state-of-the-art results on subjects from experiments, theory and simulations and to reveal the role of QCAs and QWs in other related fields.

Regards,

Prof. Giacomo D'Ariano
Dr. Alessandro Bisio
Dr. Alessandro Tosini
Guest Editors

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