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Projective Geometry and Quantum Logic
by
Tobias Hagge
U.T. Dallas
Quantum Logics were first constructed by Birkhoff and Von Neumann in an attempt to describe the structure of quantum states. Projective geometry offers answers to many questions related to decidability, axiomatization, and expressive power of such logics. We give an overview of the answers to some of these questions and the variety of queries which may be expressed as quantum logical propositional formulas, using projective geometry as a guide.
Date received: December 7, 2012
Copyright © 2012 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbfw-45.