Quantum Structures Without Group-Valued Measures

Navara, Mirko; Voráček, Václav

doi:10.1007/s10773-019-04058-y

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Orthoalgebras2

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2020

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“…In [6,16], there are examples of OAs admitting no probability measure, having 10 atoms. We show that these examples are minimal.…”

Section: Orthoalgebrasmentioning

confidence: 99%

“…-If there is no edge f ∈ E such that e ∩ f = ∅, then there is a probability measure which assigns 1/|e| to all vertices contained in e and Every known example of a quantum structure with no group-valued measure (those in [11,16,17]) used a computer for generating the quantum structure, and/or for the verification that there is no group-valued measure, so the actual idea behind the construction remains hidden. We present a handcrafted example of an OA with no group-valued measure.…”

Section: Orthoalgebrasmentioning

confidence: 99%

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