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Probabilities to accept languages by quantum finite automata

Andris Ambainis·Richard Bonner·Rusins Freivalds·Arnolds Kikusts
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Abstract

We construct a hierarchy of regular languages such that the current language in the hierarchy can be accepted by 1-way quantum finite automata with a probability smaller than the corresponding probability for the preceding language in the hierarchy. These probabilities converge to 1/2.

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Andris Ambainis, Richard Bonner, Rusins Freivalds, Arnolds Kikusts. 1999-04-16. Probabilities to accept languages by quantum finite automata. https://arxiv.org/abs/quant-ph/9904066

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