Probabilistic, Algebraic and Quantum-Mechanical Aspects ofSupervisor: doc. Mgr. Gejza Jenča, PhD.
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|Project description:||Using the latest methods of quantum structures we study mathematical foundations of quantum mechanics and of quantum measurements. We deepen our knowledge about partial and total algebras like effect algebras, MValgebras, synaptic algebras, orthomodular lattices, BL-algebras, residuated lattices and their non-commutative generalizations and states on them with respect to partially ordered groups. Methods of the theory of categories clarify specific properties of quantum structures. Aggregation methods we will be used to combine selected values of measurements into one aggregation function. Uncertainty contained in quantum measurements will be analyze from the point of view of states, quantum channels will be aimed at quantum mechanics, quantum information theory and for description of measures of noncompatibilities.|
|Kind of project:||APVV - Všeobecná výzva ()|
|Department:||Department of Mathematics and Constructive Geometry (FCE)|
|Project status:||In process of execution|
|Project start date :||01. 07. 2017|
|Project close date:||30. 06. 2021|
|Number of workers in the project:||2|
|Number of official workers in the project:||0|