Quantum Logic and Quantum Computation

Details Quantum Logic and Quantum Computation Quantum Logic and Quantum Computation

2008-12-16

arxiv.org/abs/0812.3072v1

Physics

Quantum Physics

37 pages, 13 figures, published in Handbook of Quantum Logic and Quantum Structures: Quantum Structures (Edited by Kurt Engess

Scientific paper

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.

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