On the Interpretation of the Lattice of Subspaces of the Hilbert Space as a Propositional Calculus
Peter Mittelstaedt · Zeitschrift für Naturforschung A · 1972
Abstract In the lattice of subspaces of the Hilbert space elements can be defined which may be con-sidered as generalized implications. It is shown, that these elements satisfy the most important relations which are known to be valid for the classical implication. These results seem to justify the interpretation of this lattice as a propositional calculus sometime called quantum logic.