Studying multipartite entanglement through the lens of symmetries
Abstract: Entanglement is arguably the defining feature of quantum mechanics that distinguishes quantum information-processing from its classical counterpart in fundamental ways. Unfortunately, characterizing entanglement in multipartite quantum systems is challenging because of the "dimensionality curse", i.e., the exponential growth of the state space of a multipartite quantum system. In this talk I will explain how symmetries and mathematical tools from representation theory and group theory can help us study the behavior of correlations in multipartite quantum systems, in particular in the presence of environmental noise. I will highlight the recent work with my student Sujeet Bhalerao, and explain how the ideas used in this work could be applied more broadly to other problems in quantum information theory.
Bio: Felix Leditzky is an Assistant Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign, an Affiliate Assistant Professor in the Department of Electrical and Computer Engineering, and a member of IQUIST. Before joining U of I in 2021, he held postdoctoral positions at JILA, University of Colorado Boulder from 2016 to 2019, and at the Institute for Quantum Computing, University of Waterloo and the Perimeter Institute for Theoretical Physics from 2019 to 2020. He earned a doctoral degree in Mathematics from the University of Cambridge in 2017. In 2025, Felix was awarded an NSF CAREER grant for his research program "Symmetries in noisy multipartite quantum systems".
To watch online, go to the IQUIST YouTube channel: https://www.youtube.com/channel/UCCzAySwQXF8J4kRolUzg2ww