English

On the Intersection Problem for Quantum Finite Automata

Formal Languages and Automata Theory 2025-07-16 v3

Abstract

This paper is a continuation of a previous study on the so-called measure once finite quantum automata model introduced by Moore and Crutchfield in 2000. We investigate conditions assuring that, given a language recognized by such a device and a language generated by a context-free grammar of finite index or by a matrix context-free grammar, it is recursively decidable whether or not they have a nonempty intersection.

Keywords

Cite

@article{arxiv.2406.13797,
  title  = {On the Intersection Problem for Quantum Finite Automata},
  author = {Andrea Benso and Flavio D'Alessandro and Paolo Papi},
  journal= {arXiv preprint arXiv:2406.13797},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:1303.2967 -- Expanded version, with different title. To appear in Theoretical Computer Science

R2 v1 2026-06-28T17:12:37.204Z