Skip to main content

On the Ohya-Masuda Quantum SAT Algorithm

  • Conference paper
Unconventional Models of Computation, UMC’2K

Part of the book series: Discrete Mathematics and Theoretical Computer Science ((DISCMATH))

Abstract

Using a new explicit form of some of the gates involved, we propose a variant of the Ohya-Masuda quantum SAT algorithm which allows to reduce the dimensions of the dust-q-bit spaces and to perform a constructive analysis of its complexity. We use this algorithm to introduce a kind of absolute measure of truth for different sets of clauses, measured in terms of the cardinality of the set of truth functions which gives a value 1 to the given set of clauses.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Garey and D. Johnson, Computers and Intractability — a Guide to the Theory of NP-Completeness, Freeman, 1979.

    Google Scholar 

  2. T. Toffoli, Computation and construction universality of reversible cellular automata, Journal of Computer and System Sciences 15, (1977), 213.

    Article  MathSciNet  MATH  Google Scholar 

  3. M. Ohya, Mathematical Foundation of Quantum Computer, Maruzen Publ. Company, 1998.

    Google Scholar 

  4. M. Ohya and N. Masuda, NP problem in Quantum Algorithm, quant-ph/9809075.

    Google Scholar 

  5. M. Ohya, I.V. Volovich, Quantum computing, NP-complete problems and chaotic dynamics, Preprint Vito Volterra N426, 2000, Università degli Studi di Roma “Tor Vergata”.

    Google Scholar 

  6. M. Ohya, N. Watanabe, On Mathematical treatment of Fredkin-Toffoli-Milburn gate, Physica D, 120 (1998), 206–213

    Article  MathSciNet  MATH  Google Scholar 

  7. I.V. Volovich, Quantum Computers and Neural Networks, Invited talk at the International Conference on Quantum Information, Meijo University, 4-8 Nov. 1997.

    Google Scholar 

  8. I.V. Volovich, Mathematical models of quantum computers and quantum decoherence problem, in the volume dedicated to V.A. Sadovnichij, Moscow State University, 1999, to be published.

    Google Scholar 

  9. I.V. Volovich, Quantum Kolmogorov Machine, Invited talk at the International Conference on Quantum Information, Meijo University, 4-8 Nov. 1997.

    Google Scholar 

  10. I.V. Volovich, Atomic Quantum Computer, quant-ph/9911062; Preprint Vito Volterra N403, 1999, Università degli Studi di Roma “Tor Vergata”.

    Google Scholar 

  11. I.V. Volovich, Models of quantum computers and decoherence problem, Preprint Vito Volterra N358, 1999, Università degli Studi di Roma “Tor Vergata”.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag London

About this paper

Cite this paper

Accardi, L., Sabbadini, R. (2001). On the Ohya-Masuda Quantum SAT Algorithm. In: Antoniou, I., Calude, C.S., Dinneen, M.J. (eds) Unconventional Models of Computation, UMC’2K. Discrete Mathematics and Theoretical Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-0313-4_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-0313-4_1

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-415-4

  • Online ISBN: 978-1-4471-0313-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics