Browsing Mathematics (Faculty of) by Subject "operator systems"
Now showing items 1-3 of 3
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Exactness and Noncommutative Convexity
(University of Waterloo, 2022-09-02)This thesis studies two separate topics in connection to operator systems theory: the dynamics of locally compact groups, and noncommutative convex geometry. In Chapter 1 we study exactness of locally compact groups as ... -
Quantum superchannels on the space of quantum channels
(University of Waterloo, 2023-06-20)Quantum channels, defined as completely-positive and trace-preserving maps on matrix algebras, are an important object in quantum information theory. In this thesis we are concerned with the space of these channels. This ... -
Unitary Correlation Sets and their Applications
(University of Waterloo, 2019-07-04)We relate Connes' embedding problem in operator algebras to the Brown algebra Unc(n), which is defined as the universal unital C*-algebra generated by the entries of an n x n unitary matrix. In particular, we show that the ...