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Quantum computational logic

  • M. Dalla Chiara
  • R. Giuntini
  • R. Greechie
Part of the Trends in Logic book series (TREN, volume 22)

Abstract

Finally we study a new form of unsharp quantum logic that has been naturally suggested by the theory of quantum computation. One of the most interesting logical proposals that arise from quantum computation is the idea to use the quantum theoretical formalism in order to represent parallel reasoning.1 As is well known, the unit of measurement in classical information theory is the bit: one bit measures the information quantity that can be either transmitted or received whenever one chooses one element from a set consisting of two elements, say, from the set {0, 1}. From the intuitive point of view, both the objects 0 and 1 can be imagined as a well determined state of a classical physical system, for instance, the state of a tape cell in a given machine.

Keywords

Hilbert Space Quantum Computation Logical Truth Computational Basis Atomic Sentence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • M. Dalla Chiara
    • 1
  • R. Giuntini
    • 2
  • R. Greechie
    • 3
  1. 1.University of FlorenceItaly
  2. 2.University of CagliariItaly
  3. 3.Louisiana Tech UniversityRustonUSA

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