paper

Superiority of exact quantum automata for promise problems

arXiv:1101.3837 · doi:10.1016/j.ipl.2012.01.001

Abstract

In this note, we present an infinite family of promise problems which can be solved exactly by just tuning transition amplitudes of a two-state quantum finite automata operating in realtime mode, whereas the size of the corresponding classical automata grow without bound.

A completely new version. 6 pages. (The previous version contains some errata.)

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