Superiority of exact quantum automata for promise problems

  • Authors:
  • Andris Ambainis;Abuzer Yakaryılmaz

  • Affiliations:
  • University of Latvia, Faculty of Computing, Raina bulv. 19, Rga, LV-1586, Latvia;University of Latvia, Faculty of Computing, Raina bulv. 19, Rga, LV-1586, Latvia

  • Venue:
  • Information Processing Letters
  • Year:
  • 2012

Quantified Score

Hi-index 0.89

Visualization

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 automaton operating in realtime mode, whereas the size of the corresponding classical automata grows without bound.