English

Simple circuit simulations of classical and quantum Turing machines

Quantum Physics 2022-10-12 v1 Computational Complexity Logic in Computer Science Mathematical Physics math.MP

Abstract

We construct reversible Boolean circuits efficiently simulating reversible Turing machines. Both the circuits and the simulation proof are rather simple. Then we give a fairly straightforward generalization of the circuits and the simulation proof to the quantum case.

Keywords

Cite

@article{arxiv.2111.10830,
  title  = {Simple circuit simulations of classical and quantum Turing machines},
  author = {Yuri Gurevich and Andreas Blass},
  journal= {arXiv preprint arXiv:2111.10830},
  year   = {2022}
}
R2 v1 2026-06-24T07:46:24.196Z