R. Levene

will speak on

Non-commutative graph parameters and quantum channel capacities

Time: 3:00PM
Date: Tue 10th October 2017
Location: UCD Science North 125 [map]

Abstract: We generalise some graph parameters to non-commutative graphs
(a.k.a. operator systems of matrices) and quantum channels. In particular,
we introduce the quantum complexity of a non-commutative graph,
generalising the minimum semidefinite rank. These parameters give upper
bounds on the Shannon zero-error capacity of a quantum channel which can
beat the best general upper bound in the literature, namely the quantum
Lovász theta number.
This is joint work with Vern Paulsen (Waterloo) and Ivan Todorov (Belfast).

(This talk is part of the Analysis series.)

PDF notice

Return to all seminars