Quantum, classical and intermediate II: the vanishing vector space structure

Diederik Aerts, Bob Coecke, Thomas Durt, Frank Valckenborgh

Research output: Contribution to journalArticlepeer-review


We propose an approach where physical entities are described by the set of their states, and the set of their relevant experiments. In this framework we will study a general entity that is neither quantum nor classical. We show that the collection of eigenstate sets forms a closure structure on the set of states. We also illustrate this framework on a concrete physical example, the ε-example. This leads us to a model for a continuous evolution from the linear closure in vector space to the standard topological closure.
Original languageEnglish
Pages (from-to)241-266
Number of pages26
JournalTatra Mountains Mathematical Publications
Publication statusPublished - 1997
Externally publishedYes


  • Poincaré sphere
  • ε-model
  • state
  • Hilbert lattice


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