Algorithms for Greechie Diagrams

Details Algorithms for Greechie Diagrams Algorithms for Greechie Diagrams

2000-09-09

arxiv.org/abs/quant-ph/0009039v3

International Journal of Theoretical Physics, 39, 2381-2406 (2000)

Physics

Quantum Physics

23 pages, AMSLaTeX; This version: journal pages updated. Web page: http://m3k.grad.hr/pavicic

Scientific paper

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 diagrams. The results show that the previous algorithm does not produce every diagram and that it is at least 100,000 times slower. We also provide an algorithm and programs for checking of Greechie diagram passage by equations defining varieties of orthomodular lattices and give examples from Hilbert lattices. At the end we discuss some additional characteristics of Greechie diagrams.

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