English

Definition and evolution of quantum cellular automata with two qubits per cell

Quantum Physics 2008-11-04 v1

Abstract

Studies of quantum computer implementations suggest cellular quantum computer architectures. These architectures can simulate the evolution of quantum cellular automata, which can possibly simulate both quantum and classical physical systems and processes. It is however known that except for the trivial case, unitary evolution of one-dimensional homogeneous quantum cellular automata with one qubit per cell is not possible. Quantum cellular automata that comprise two qubits per cell are defined and their evolution is studied using a quantum computer simulator. The evolution is unitary and its linearity manifests itself as a periodic structure in the probability distribution patterns.

Keywords

Cite

@article{arxiv.0811.0085,
  title  = {Definition and evolution of quantum cellular automata with two qubits per cell},
  author = {Ioannis G. Karafyllidis},
  journal= {arXiv preprint arXiv:0811.0085},
  year   = {2008}
}

Comments

13 pages, 4 figures

R2 v1 2026-06-21T11:37:15.889Z