134
Views
6
CrossRef citations to date
0
Altmetric
Articles

Square root of ‘not’: a major difference between fuzzy and quantum logics

, &
Pages 111-127 | Received 27 Jun 2008, Accepted 04 Aug 2009, Published online: 24 Nov 2010

References

  • Cormen , T.H. , Leiserson , C.E. , Rivest , R.L. and Stein , S. 2001 . Introduction to algorithms , Cambridge, MA : MIT Press .
  • Dalla Chiara , M.L. , Giuntini , G. and Greechie , R. 2004 . Reasoning in quantum theory: sharp and unsharp quantum logics , Kluwer : Dordrecht .
  • Dalla Chiara , M.L. , Giuntini , G. and Leporini , R. 2005 . Logics from quantum computation . International journal of quantum information , 3 : 293 – 337 .
  • Giuntini , R. , Ledda , A. and Paoli , F. 2007 . Expanding quasi-MV algebras by a quantum operator . Studia logica , 87 : 99 – 128 .
  • Grover, L., 1996. A fast quantum mechanical algorithm for database search. In: Proceeding of 28th ACM symposium on theory of computing, 212–219
  • Grover , L.K. 1997 . Quantum mechanics helps in searching for a needle in a haystack . Physical review letters , 79 ( 2 ) : 325 – 328 .
  • Grover , L.K. 1998 . A framework for fast quantum mechanical algorithms . Physical review letters , 80 : 4329 – 4332 .
  • Klir , G. and Yuan , B. 1995 . Fuzzy sets and fuzzy logic: theory and applications , Upper Saddle River, NJ : Prentice Hall .
  • Kosko , B. 1993 . Fuzzy thinking: the new science of fuzzy logic , New York : Hyperion .
  • Nguyen , H.T. and Walker , E.A. 2006 . First course in fuzzy logic , Boca Raton, FL : CRC Press .
  • Nielsen , M.A. and Chuang , I.L. 2000 . Quantum computation and quantum information , Cambridge, UK : Cambridge University Press .
  • Seising , R. From principles of mechanics to quantum mechanics – a survey on fuzziness in scientific theories . In: Proceedings of the 27th international conference of the North American fuzzy information processing society NAFIPS’2008, New York, May 19–22
  • Shor, P., 1994. Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings of the 35th annual IEEE symposium on foundations of computer science, 124–134

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.