Home > Search Results: keywords:"star order"
Search:
Search Tips :: Advanced Search
Search collections:
Sort by: Display results: Output format:
National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Technique of operator algebras in quantum structures
 Bohata, Martin
Title: Technique of operator algebras in quantum structures Author: Mgr. Martin Bohata Institution: Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague Supervisor: Prof. RNDr. Jan Hamhalter, CSc. Abstract: The thesis deals with Bell inequalities and a partial order called star order. These two structures are investigated by means of the theory of operator algebras. The study of Bell inequalities is focused on the CHSH version of Bell inequality and its quantum version called Cirel'son inequality. The Cirel'son inequality is generalized to real and complex linear spaces with a pseudo inner product. The results obtained on this abstract level are applied to the study of maximal violation of the (CHSH version of) Bell inequality formulated in the mathematical framework of *-algebras. It is shown that elements maximally violated the Bell inequality are closely related to Pauli spin matrices. These results are also generalized to the nonassociative case of Jordan algebras. The next field of our interest is the star order. This partial order is considered on certain *-algebras. As a consequence of our analysis of the star order on partial isometries, we obtain a new characterization of infinite C*-algebras. Then we investigate the infimum and supremum problem for the...
Detailed record
Technique of operator algebras in quantum structures
 Bohata, Martin
Title: Technique of operator algebras in quantum structures Author: Mgr. Martin Bohata Institution: Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague Supervisor: Prof. RNDr. Jan Hamhalter, CSc. Abstract: The thesis deals with Bell inequalities and a partial order called star order. These two structures are investigated by means of the theory of operator algebras. The study of Bell inequalities is focused on the CHSH version of Bell inequality and its quantum version called Cirel'son inequality. The Cirel'son inequality is generalized to real and complex linear spaces with a pseudo inner product. The results obtained on this abstract level are applied to the study of maximal violation of the (CHSH version of) Bell inequality formulated in the mathematical framework of *-algebras. It is shown that elements maximally violated the Bell inequality are closely related to Pauli spin matrices. These results are also generalized to the nonassociative case of Jordan algebras. The next field of our interest is the star order. This partial order is considered on certain *-algebras. As a consequence of our analysis of the star order on partial isometries, we obtain a new characterization of infinite C*-algebras. Then we investigate the infimum and supremum problem for the...
Detailed record

Interested in being notified about new results for this query?
Subscribe to the RSS feed.
Digital Repository :: Search :: Submit :: Personalize :: Help
Powered by Invenio v1.1.2
Maintained by admin.invenio@techlib.cz
This site is also available in the following languages:
Česky  English