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Quantum Computers, Discrete Space, and Entanglement
Mladen Pavicic
We consider algebras underlying Hilbert spaces used by quantum information algorithms. We show how one can arrive at equations on such algebras which define n-dimensional Hilbert s…
Deduction, Ordering, and Operations in Quantum Logic
Norman D. Megill, Mladen Pavicic
We show that in quantum logic of closed subspaces of Hilbert space one cannot substitute quantum operations for classical (standard Hilbert space) ones and treat them as primitive…
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…
Event-ready entanglement preparation
Mladen Pavicic
We present an experiment which prepare entanglement between photons that nowhere interacted and whose paths nowhere crossed. The experiment puts together two photons from two (non-…