Contents

• List of Figures
• List of Tables
• Zusammenfassung
• Abstract
• Introduction
  • A machine-translation example
  • A scientific account of meaning
  • Quantum theoretically speaking
  • Statement of thesis
• Matter vs. Mind
  • Matter vs. Mind, or Physics vs. Mathematics
    • Why physics?
    • Why mathematics?
    • Physics and computation
    • Way out of the crisis?
  • Physical reality
  • Mental reality
  • Language
• Quantum Theory and Quantum Computation
  • Introduction
  • Two-slit experiment
  • Elitzer-Vaidman bomb testing problem
  • A summary of formalism of quantum mechanics
  • Quantum computation
• A Quantum Theoretical Account of Linguistics
  • Introduction
  • Meanings, symbols, and linguistic reality
    • A net of meaning
    • ``Signifier'' and ``signified'' in computation
    • Duality of symbol and concept - a thought experiment
    • Duality in speech signal processing
    • Physical account of linguistic reality
  • Description of NL in QT terms
    • Postulates of quantum linguistics
    • State of affairs as a representation in a Hilbert space
    • The Uncertainty Principle of language
• A QT Account of Common Sense Logic
  • Introduction
  • Information, situations and linguistic context
  • Non-monotonicity
  • Counterfactual conditionals
  • Time and causality
• Preliminary Experiments
  • Introduction
  • Exclusive OR (XOR) Problem
    • Experimental setup
    • Result and analysis
  • Non-monotonic reasoning
    • Experimental setup
    • Result and analysis
  • Counterfactual reasoning
    • Experimental setup
    • Result and analysis
  • Discussion
• Application of QT to NLP
  • Issues of natural language processing (NLP)
  • Quantum mechanical NLP
  • Syllogism in natural language
    • ``Barbara'' corpus
    • Full categorical syllogistic corpus
  • Syntax manipulation
    • Chalmers' syntax corpus
    • More complicated corpus
  • Machine translation
  • Discussion
• Discussion and Conclusion
  • A brief comparison with other approaches
  • Conclusion and future works
• Simulation Data used in Chapter 6
  • Data used in XOR experiment
  • Data in the NM experiment
  • Data in the CF experiment
  • Data used in the ``Barbara'' experiment
  • Data used in the syllogism experiment
  • Data used in the bilingual MT experiment
• Natural Language Corpora
• Learning Algorithm
  • Conjugated gradient method
  • Random walk method
• Bibliography
• Index
• About this document ...