Properties of probability measures on the set of quantum states and their applications
M.E.Shirokov
TL;DR
This paper explores fundamental properties of probability measures on quantum states and discusses their applications in analyzing key functional constructs in quantum information theory.
Contribution
It introduces new properties of probability measures on quantum states and applies them to analyze important functional constructs in quantum information theory.
Findings
Identified basic properties of probability measures on quantum states.
Applied these properties to analyze functional constructions in quantum information.
Provided insights into the structure of quantum state measures.
Abstract
Two basic properties of the set of all probability measures on the set of quantum states and their corollaries are considered. Several applications of these properties to analysis of functional constructions widely used in quantum information theory are discussed.
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Taxonomy
TopicsAdvanced Algebra and Logic · Computability, Logic, AI Algorithms