A small 1-way quantum finite automaton
Arnolds Kikusts
Abstract
We study 1-way quantum finite automata (QFAs) and compare them with their classical counterparts. We show that 1-way QFAs can be very space efficient. We construct a 1-way QFAs that are quadratically smaller than any equivalent deterministic finite automata and give the correct answer with a large probability by recognizing the languages in a two letter alphabet "the number of the letters a and the number of the letters b are divisible by n".
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