4 papers
Orthomodular Lattices and a Quantum Algebra
Norman D. Megill, Mladen Pavicic
We show that one can formulate an algebra with lattice ordering so as to contain one quantum and five classical operations as opposed to the standard formulation of the Hilbert spa…
Algorithms for Greechie Diagrams
Brendan D. McKay, Norman D. Megill, Mladen Pavicic
We give a new algorithm for generating Greechie diagrams with arbitrary chosen number of atoms or blocks (with 2,3,4,... atoms) and provide a computer program for generating the di…
Equations, States, and Lattices of Infinite-Dimensional Hilbert Spaces
Norman D. Megill, Mladen Pavicic
We provide several new results on quantum state space, on lattice of subspaces of an infinite dimensional Hilbert space, and on infinite dimensional Hilbert space equations as well…
Non-Orthomodular Models for Both Quantum Logic and Standard Classical Logic: Repercussions for Quantum Computers
Mladen Pavicic, Norman D. Megill
It is shown that propositional calculuses of both quantum and classical logics are non-categorical. We find that quantum logic is in addition to an orthomodular lattice also modele…