Show simple item record

dc.contributor.authorAlexander, Matthew 14:33:24 (GMT) 14:33:24 (GMT)
dc.description.abstractEvery potential benefit of quantum computers would be lost without methods to protect the computations from error. Quantum channels provide a framework for understanding error in quantum systems. In general, for a system of size d, a quantum channel may require as many as ~d^4 parameters to characterize it. We introduce the leading Kraus approximation, a simplification which reduces the number of parameters to ~d^2, while accurately approximating two figures of merit important to the experimentalist: the unitarity and average process fidelity. Additionally, applying the leading Kraus approximation declutters investigations into the set of quantum channels. When applied, a natural decomposition of channels arises, separating behaviour into coherent and decoherent contributions. We find that eliminating the coherent contribution provides the greatest increase to the fidelity, while decoherent processes provide a generalization of depolarizing channels.en
dc.publisherUniversity of Waterlooen
dc.subjectquantum theoryen
dc.subjectquantum computersen
dc.titleA Polar Decomposition for Quantum Channels: Theory and Applicationsen
dc.typeMaster Thesisen
dc.pendingfalse and Astronomyen (Quantum Information)en of Waterlooen
uws-etd.degreeMaster of Scienceen
uws.contributor.advisorEmerson, Joseph
uws.contributor.affiliation1Faculty of Scienceen

Files in this item


This item appears in the following Collection(s)

Show simple item record


University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages