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  • Orthomodular lattices occurred as generalized event structures in the models of probability for quantum mechanics. Here we contribute to the question of existence of states (=probability measures) on orthomodular lattices. We prove that known techniques do not allow to find examples with less than 19 blocks (=maximal Boolean subalgebras). This bound is achieved by the example by R. Mayet. Although we do not finally exclude the existence of other techniques breaking this bound, existence of smaller examples is highly unexpected.
  • Orthomodular lattices occurred as generalized event structures in the models of probability for quantum mechanics. Here we contribute to the question of existence of states (=probability measures) on orthomodular lattices. We prove that known techniques do not allow to find examples with less than 19 blocks (=maximal Boolean subalgebras). This bound is achieved by the example by R. Mayet. Although we do not finally exclude the existence of other techniques breaking this bound, existence of smaller examples is highly unexpected. (en)
Title
  • Existence of states on quantum structures
  • Existence of states on quantum structures (en)
skos:prefLabel
  • Existence of states on quantum structures
  • Existence of states on quantum structures (en)
skos:notation
  • RIV/68407700:21230/09:00162866!RIV10-GA0-21230___
http://linked.open...avai/riv/aktivita
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  • P(GA201/07/1051)
http://linked.open...iv/cisloPeriodika
  • 5
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  • 314137
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  • RIV/68407700:21230/09:00162866
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  • orthomodular lattice; quantum logic; state; probability measure; block; Boolean subalgebra; pasting (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [8BE0EF6F14CD]
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  • Information Sciences
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  • 179
http://linked.open...iv/tvurceVysledku
  • Navara, Mirko
http://linked.open...ain/vavai/riv/wos
  • 000262768400006
issn
  • 0020-0255
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http://localhost/t...ganizacniJednotka
  • 21230
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