Asian Network School and Workshop on Complex Condensed Matter Systems 2023
Hanoi, 6-10 November 2023

Programme

L.4.1 -- Lecture, ANSWCCMS-2023

Date: Tuesday, 7 November 2023

Time: 09:00 - 10:00

Entanglement and its applications

Dominik Safranek

Center for Theoretical Physics of Complex Systems, Institute for Basic Science, Daejeon, Korea

I’ll introduce entanglement and show the difference between product, separable, and entangled states. I show how it is measured for pure and mixed states, what the difference is between entanglement and quantum discord, illustrate its meaning on Bell’s inequality, and discuss whether it is possible to use entanglement for faster-than-the-speed-of-light communication. Then I’ll move to explain applications of entanglement and why it is so prevalent in emerging quantum technologies. The fields I’ll discuss are quantum metrology, quantum computing, quantum cryptography, quantum batteries, and finally, many-body quantum systems. In many-body quantum systems, I focus on the utility of entanglement entropy and the expected behavior coming from the eigenstate thermalization hypothesis. This lecture aims to give the students a “feel” for entanglement, an intuition of how it can be utilized, and a basic understanding of its most prevalent measure, entanglement entropy.

Presenter: Dominik Safranek


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