4.2 Article

Superiority of exact quantum automata for promise problems

Journal

INFORMATION PROCESSING LETTERS
Volume 112, Issue 7, Pages 289-291

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.ipl.2012.01.001

Keywords

Computational complexity; Exact quantum computation; Promise problems; Succinctness; Quantum finite automaton; Classical finite automaton

Funding

  1. ESF [1DP/1.1.1.2.0/09/APIA/VIAA/044]
  2. FP7 Marie Curie International Reintegration [PIRG02-GA-2007-224886]
  3. FP7 FET-Open project QCS
  4. Scientific and Technological Research Council of Turkey (TUBITAK) [108E142]

Ask authors/readers for more resources

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. (C) 2012 Elsevier B.V. All rights reserved.

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