Quantum information applications for states in Chern-Simons theory
by
B228
ΘΕΕ02

Abstract: In this talk I will revisit quantum states in one instance of topological quantum field theories - the Chern-Simons theory. I will review the basics of quantum mechanics of these states and introduce a simple subclass (the connectomes) with special properties. In the main part of the talk I will consider the Chern-Simons states as a resource for quantum information theory. I will discuss how the topological presentation of quantum mechanics classifies different forms of quantum entanglement, how measures of entanglement can be constructed and how quantum protocols can be designed. If time permits I will discuss the connection of the connectome states with quantum gravity and holography explaining how some of the known results in holography can be intuitively understood via the topological toy model.