Venue: Room 301, Samgatha Block, Nila campus
Seminars
Title: Optimal transport of random points.
Abstract: What is the cost of matching a grid or transporting Lebesgue measure to a point process, i.e., a collection of random points?
The process of endocytosis is of tremendous biomedical interest since it enables numerous pathogens to enter the cell, including bacteria, viruses, and bacterial toxins.
Topological entanglement entropy (TEE) is a key diagnostic of topological order, allowing to detect the presence of Abelian or non-Abelian anyons. However, there are currently no protocols to measure TEE in condensed matter systems. We propose a scheme to measure the TEE, based on a nontrivial connection with the thermodynamic entropy change occurring in a quantum point contact (QPC) as it pinches off the topological liquid into two. We show how this entropy change can be extracted using Maxwell relations from charge detection of a nearby quantum dot.
