Conferinţă invitată: The cut polytope and the image of the correlation map

CONFERINTA
Miercuri, 6 februarie 2013, ora 11:00
cladirea Mathematicum, sala e

The cut polytope and the image of the correlation map

Speaker

Orest Bucicovschi (University of California, San Diego)

Abstract

Inspired from the „monogamy of entaglement” inequalities Meyer(2010, to be published) proposed the study of the domains of pairwise correlations (concurrencies) for random variables (classical) and quantum bits. We describe the solution of the problem for 3 random Bernoulli variables (the classical case), hint on the quantum case and generalization for n ≥ 4 variables. In the course of the solution we uncover new Bonferroni type inequalities and connections with the cut polytope.