Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Malkhaz Mumladze and Zurab Zerakidze
Pages: [57] - [67]
Received Date: December 6, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121597
In this article, we define and build the criteria for the testing of
hypotheses in the physical quantum systems.
For each quantum state, we construct the measure in the space
where 
is the space of the pure states of the
quantum system, S is the Borel 
in 
The criteria for the checking hypotheses
of the quantum states we call a measurable map 
where 
is the space of the hypothetical states
with the topological structure induced by topological structure in the
space quantum states 
is the space of closed subsets of
with the exponential topological
structure, and 
is the Borel subsets in 
quantum physical system, state, pure state, observable, measure, criteria of checking hypotheses.
