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Quantum Entropy Information Measures Quantum Circuit Design Gate Engineering Quantum Optimization Entanglement Theory Quantum Correlations

New results on classical and quantum counter automata

arXiv
Authors: Masaki Nakanishi, Abuzer Yakaryılmaz, Aida Gainutdinova

Year

2014

Paper ID

45776

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

We show that one-way quantum one-counter automaton with zero-error is more powerful than its probabilistic counterpart on promise problems. Then, we obtain a similar separation result between Las Vegas one-way probabilistic one-counter automaton and one-way deterministic one-counter automaton. We also obtain new results on classical counter automata regarding language recognition. It was conjectured that one-way probabilistic one blind-counter automata cannot recognize Kleene closure of equality language [A. Yakaryilmaz: Superiority of one-way and realtime quantum machines. RAIRO - Theor. Inf. and Applic. 46(4): 615-641 (2012)]. We show that this conjecture is false, and also show several separation results for blind/non-blind counter automata.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • We show that one-way quantum one-counter automaton with zero-error is more powerful than its probabilistic counterpart on promise problems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1412.6761 [2] arXiv https://arxiv.org/abs/1412.6761 [3] Publisher https://arxiv.org/abs/1412.6761

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