Main content

Entanglement Breaking Channels in Quantum Information

Show full item record

Title: Entanglement Breaking Channels in Quantum Information
Author: Olfert, Katrina
Department: Department of Mathematics and Statistics
Program: Mathematics and Statistics
Advisor: Pereira, RajeshKribs, David
Abstract: Quantum channels are central objects of study in quantum information, of which entanglement breaking channels are an interesting subset. Entanglement is considered a fundamental resource and property of quantum mechanics that we can use as a driving force for new theories and to continue research in this area. We exhibit the connection between stochastic matrix theory and the iterative behaviour of entanglement breaking channels and relate the Jordan forms of the entanglement breaking channels and stochastic matrices. We build on this perspective to study the fixed point theory for such channels. We further consider the nullspace structure of entanglement breaking channels, in particular proving that every operator space of trace zero matrices is the nullspace of such a channel. We connect the nullspace of entanglement breaking channels with private subspaces and present examples and discuss connections between quantum privacy and trace zero matrices. Finally, we draw a connection between random unitary channels and entanglement breaking channels.
URI: http://hdl.handle.net/10214/17903
Date: 2020-04
Rights: Attribution-NonCommercial 4.0 International
Terms of Use: All items in the Atrium are protected by copyright with all rights reserved unless otherwise indicated.


Files in this item

Files Size Format View Description
Olfert_Katrina_202005_Msc.pdf 347.6Kb PDF View/Open Results on entanglement breaking channels in quantum information

This item appears in the following Collection(s)

Show full item record

Attribution-NonCommercial 4.0 International Except where otherwise noted, this item's license is described as Attribution-NonCommercial 4.0 International