Quantum Computers as Fuzzy Computers

  • Jarosław Pykacz
  • Bart D’Hooghe
  • Roman R. Zapatrin
Conference paper

DOI: 10.1007/3-540-45493-4_53

Part of the Lecture Notes in Computer Science book series (LNCS, volume 2206)
Cite this paper as:
Pykacz J., D’Hooghe B., Zapatrin R.R. (2001) Quantum Computers as Fuzzy Computers. In: Reusch B. (eds) Computational Intelligence. Theory and Applications. Fuzzy Days 2001. Lecture Notes in Computer Science, vol 2206. Springer, Berlin, Heidelberg

Abstract

An implementation of digitised fuzzy numbers on quantum computers is suggested. It is shown that due to the famous quantum parallelism quantum computers can operate “globally”on whole membership functions of fuzzy numbers,not by calculating them “point by point” as classical computers do, which leads to the considerable decrease in the number of operations involved in storing and calculating fuzzy numbers. In particular, we show that the standard quantum adder is perfectly suited to realize Kaufmann-like addition of fuzzy numbers encoded in the form of suitably prepared superpositions of input qubits and that it does it in a single run. Although this computational gain is to some extent lost while reading the output, which has to be done statistically on the enough big sample of single runs of the adder, suitably chosen method of defuzzyfication allows to save a great deal of the original gain.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jarosław Pykacz
    • 1
  • Bart D’Hooghe
    • 2
  • Roman R. Zapatrin
    • 3
  1. 1.Uniwersytet GdańskiInstytut MatematykiGdańskPoland
  2. 2.Vrije Universiteit BrusselDepartement WiskundeBrusselBelgium
  3. 3.Starlab nv/saBrusselBelgium

Personalised recommendations