Quantum automata for some multiperiodic languages

Authors:
Carlo Mereghetti;Beatrice Palano
Affiliations:
Dipartimento di Scienze dellInformazione, Università degli Studi di Milano, via Comelico 39/41, 20135 Milano, Italy;Dipartimento di Scienze dellInformazione, Università degli Studi di Milano, via Comelico 39/41, 20135 Milano, Italy
Venue:
Theoretical Computer Science
Year:
2007

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Abstract

We exhibit small size measure-once one-way quantum finite automata (mo-1qfa's) inducing multiperiodic stochastic events. Moreover, for certain classes of multiperiodic languages, we exhibit: (i) isolated cut point mo-1qfa's whose size logarithmically depends on the periods; (ii) Monte Carlo mo-1qfa's whose size logarithmically depends on the periods and polynomially on the inverse of the error probability.