2008/12/16 by Mladen Pavicic, Pavicic, Mladen, Norman D. Megill +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.0812.3072
37 pages, 13 figures, published in Handbook of Quantum Logic and Quantum Structures: Quantum Structures (Edited by Kurt Engesser, Dov M. Gabbay and Daniel Lehmann), Elsevier, Amsterdam, 2007, pp. 755-792
arxiv created 2008/12/16 · arxiv updated 2009/12/01
We use classes of Hilbert lattice equations for an alternative representation of Hilbert lattices and Hilbert spaces of arbitrary quantum systems that might enable a direct introduction of the states of the systems into quantum computers. More specifically, we look for a way to feed a quantum computer with algebraic equations of n-th order underlying an infinite dimensional Hilbert space description of quantum systems. A number of new results on states defined on Hilbert lattices are presented and discussed and a number of recently obtained results in the field of Hilbert space equations are reviewed.