GAMP/QMATH Seminar: Tsirelson's problems and the entanglement breaking rank – University of Copenhagen

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GAMP/QMATH Seminar: Tsirelson's problems and the entanglement breaking rank

Speaker: Jitendra Prakash from University of Waterloo

Title: Tsirelson's problems and the entanglement breaking rank

Abstract:
This talk will have two parts. For the first part, we consider a bipartite system with two observers, Alice and Bob, who are performing measurements in their labs. There are two models of quantum mechanics which describe the joint lab of Alice and Bob --- the quantum model and the commuting quantum model. Tsirelson's original question asked whether these two models were essentially the same. We show that these two models are different for bipartite systems with five quantum experiments and binary outcomes for each experiment, by using the notion of correlation functions of graphs. (This is a joint work with K. Dykema and V. I. Paulsen.)  In the second part, we introduce the entanglement breaking rank of an entanglement breaking map. We show that computing the entanglement breaking rank of a particular class of channels is equivalent to the existence problem of SIC POVMs. (This is a joint work with M. Rahaman, S. K. Pandey and V. I. Paulsen.)