Categorical Quantum Models and Logics

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  • Categorical Quantum Models and Logics Book Detail

  • Author : Chris Heunen
  • Release Date : 2009-11-01
  • Publisher : Amsterdam University Press
  • Genre : Mathematics
  • Pages : 214
  • ISBN 13 : 9085550246
  • File Size : 60,60 MB

Categorical Quantum Models and Logics by Chris Heunen PDF Summary

Book Description: This dissertation studies the logic behind quantum physics, using category theory as the principal tool and conceptual guide. To do so, principles of quantum mechanics are modeled categorically. These categorical quantum models are justified by an embedding into the category of Hilbert spaces, the traditional formalism of quantum physics. In particular, complex numbers emerge without having been prescribed explicitly. Interpreting logic in such categories results in orthomodular property lattices, and furthermore provides a natural setting to consider quantifiers. Finally, topos theory, incorporating categorical logic in a refined way, lets one study a quantum system as if it were classical, in particular leading to a novel mathematical notion of quantum-

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Categorical Quantum Models and Logics

Categorical Quantum Models and Logics

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This dissertation studies the logic behind quantum physics, using category theory as the principal tool and conceptual guide. To do so, principles of quantum me

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Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequentia

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