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Quantum Circuits for Elementary Cellular Automata

Quantum Physics 2025-01-14 v1 Cellular Automata and Lattice Gases

Abstract

In this paper we identify full list of Elementary Cellular Automata rules which can be simulated using a quantum circuit (there are 22 such rules). For every such rule we present quantum circuit implementing it with O(N)O(N) gates.

Keywords

Cite

@article{arxiv.2501.06648,
  title  = {Quantum Circuits for Elementary Cellular Automata},
  author = {Dmytro Fedoriaka},
  journal= {arXiv preprint arXiv:2501.06648},
  year   = {2025}
}
R2 v1 2026-06-28T21:03:38.786Z