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- W3097520760 abstract "We study hypergraphs which represent finite quantum event structures. We contribute to results of graph theory, regarding bounds on the number of edges, given the number of vertices. We develop a missing one for 3-graphs of girth 4. As an application of the graph-theoretical approach to quantum structures, we show that the smallest orthoalgebra with an empty state space has 10 atoms. Optimized constructions of an orthomodular poset and an orthomodular lattice with no group-valued measures are given. We present also a handcrafted construction of an orthoalgebra with no group-valued measure; it is larger, but its properties can be verified without a computer." @default.
- W3097520760 created "2020-11-09" @default.
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- W3097520760 date "2020-10-01" @default.
- W3097520760 modified "2023-09-25" @default.
- W3097520760 title "Stateless Quantum Structures and Extremal Graph Theory" @default.
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- W3097520760 doi "https://doi.org/10.1016/s0034-4877(20)30070-7" @default.
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