期刊
FUNDAMENTA INFORMATICAE
卷 104, 期 1-2, 页码 1-15出版社
IOS PRESS
DOI: 10.3233/FI-2010-333
关键词
Quantum automata; periodic events; unary languages
资金
- Italian MIUR
- CRUI/DAAD
We study the stochastic events induced by MM-qfa's working on unary alphabets. We give two algorithms for unary MM-qfa's: the first computes the dimension of the ergodic and transient components of the non halting subspace, while the second tests whether the induced event is d-periodic. These algorithms run in polynomial time whenever the MM-qfa given in input has complex amplitudes with rational components. We also characterize the recognition power of unary MM-qfa's, by proving that any unary regular language can be accepted by a MM-qfa with constant cut point and isolation. Yet, the amount of states of the resulting MM-qfa is linear in the size of the corresponding minimal dfa. We also single out families of unary regular languages for which the size of the accepting MM-qfa's can be exponentially decreased.
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