Analysis Seminar

Thursday, April 13, 2023 4:00 pm - 4:00 pm EDT (GMT -04:00)

Padraig Daly, Department of Pure Mathematics, University of Waterloo

"Maps on the space of quantum channels"

Quantum superchannels are maps whose input and output are completely positive trace preserving (CPTP) maps. Rather than taking the domain to be the space of all linear maps I motivate and state a new definition of superchannel acting on the operator system spanned by CPTP maps. Arvesons extension theorem allows us to show that a Stinespring-like characterisation theorem for superchannels applies to this class of maps. I then discuss some implications of this new approach and how it differs from the usual definition.

This seminar will be held both online and in person: