Towards a skew lattice approach to quantum (computational) logic

Details Towards a skew lattice approach to quantum (computational) logic Towards a skew lattice approach to quantum (computational) logic

2006-07-17

arxiv.org/abs/math/0607377v2

Mathematics

Quantum Algebra

The paper has been remowed

Scientific paper

In quantum mechanics, each observable is assigned a collection of projections. Two observables are compatible (can be measured simultaneously) if and only if any two projections that are assigned to them commute. This led to the study of noncommuting sets of idempotents which further led to the skew lattice theory that was founded and explored by Jonathan Leech. In the present paper we shall see how noncommuting projections can be regarded as generators of a skew lattice.

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