Heidelberg 2015 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

Q: Fachverband Quantenoptik und Photonik

Q 50: Quantum Information: Concepts and Methods VII

Q 50.6: Talk

Thursday, March 26, 2015, 12:15–12:30, K/HS1

On Categorical Characterizations of No-signaling Theories — •Mariami Gachechiladze — Universit\"at Siegen, Walter-Flex-Str. 3, 57068 Siegen, Germany — St Cross College, University of Oxford, OX1 3LZ, UK

Characterization of quantum and classical theories using information-theoretic constraints is one of the biggest areas of the theoretical research. In this contribution I investigate the correspondence between the kinematic independence of observables and the no-signaling principle. For that, I use the formalism of category theory and the graphical language. With the use of the diagrammatic language I show a construction to reason about no superluminal information transfer between two party systems in the presence of their physical independence. As a result, it is possible to prove that kinematic independence does not always entail no-signaling in the category of relations. In addition, I propose the potential paths to prove the converse implication but the further research is necessary to finalize it.