Homotopy classification of operator solutions of linear systems

活动时间： 10月25日15时00分       

地            点  ： 线上

讲座内容：

Linear systems of equations over a finite field playan important role in quantum information theory. Instead of looking forsolutions over the base field one can look for solutions (in a certain sense)over the unitary group, which are called operator solutions. The data of thissystem of equations can be expressed using a hypergraph and the operatorsolutions can be studied from a topological point of view by consideringcertain topological realizations of these hypergraphs. In this talk I willdescribe how homotopical methods provide a way to classify operator solutionsof linear systems. Our basic approach is to interpret operator solutions asmaps from a topological realization of the hypergraph to a certain classifyingspace first introduced by Adem-Cohen-Torres Giese.

主讲人介绍：

Cihan Okay is an assistant professor of BilkentUniversity, obtained his PhD from the University of British Columbia. ProfessorOkay works algebraic topology and computational topology with variouspublications and conference/seminar talks. He has been awarded by Air ForceOffice of Scientific Research (2020-2023) on Topology of quantum resources:Homotopical methods in resource theories for quantum information and quantumcomputing.

发布时间：2021-10-19 11:04:50