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  • A possible way of the Markov property introduction within the framework of the orthomodular quantum logic, which is commonly used as the calculus model for quantum mechanics is presented in this paper. The presented work follows the logical line rather than any physical interpretation in the framework of quantum mechanics. The basic algebraic structure, which is used as a model for noncompatible random events is an orthomodular lattice. On the orthomodular lattice, a dynamical structure is introduced coupled with mappings which have similar properties as $s_n$-maps on the orthomodular lattice. This construction leads to the definition of an L-process with Markovian property on orthomodular lattice.
  • A possible way of the Markov property introduction within the framework of the orthomodular quantum logic, which is commonly used as the calculus model for quantum mechanics is presented in this paper. The presented work follows the logical line rather than any physical interpretation in the framework of quantum mechanics. The basic algebraic structure, which is used as a model for noncompatible random events is an orthomodular lattice. On the orthomodular lattice, a dynamical structure is introduced coupled with mappings which have similar properties as $s_n$-maps on the orthomodular lattice. This construction leads to the definition of an L-process with Markovian property on orthomodular lattice. (en)
Title
  • Markov property in Quantum logic. A reflection
  • Markov property in Quantum logic. A reflection (en)
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  • Markov property in Quantum logic. A reflection
  • Markov property in Quantum logic. A reflection (en)
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  • RIV/68407700:21220/09:00183964!RIV12-MSM-21220___
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  • P(1M06047)
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  • 5
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  • 324770
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  • RIV/68407700:21220/09:00183964
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  • Markov property, quantum logic (en)
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  • US - Spojené státy americké
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  • [0BC2F9A75D9C]
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  • Information Sciences
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  • 179
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  • Dohnal, Gejza
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  • 0020-0255
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  • 21220
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