On quantum randomness and quantum resources
Name
1126279172-MIT.pdf
Size
12.41 MB
Format
Adobe PDF
Checksum (MD5)
6b03e3084f42dd343ed71d3b0aff44f2
Author(s)
Liu, Zi-Wen.
Advisor(s)
Seth Lloyd.
Date Issued
2018
Publisher
Massachusetts Institute of Technology
Abstract
This thesis is consisted of two independent parts. The first part is on entanglement, quantum randomness, and complexity beyond scrambling. More explicitly, we study the Rényi entanglement entropies of quantum designs. The results lay the mathematical foundation for studying the hierarchy of complexities in between scrambling and Haar randomness by entanglement. The second part explores the general aspects of quantum resource theory. We introduce three theories that do not rely on the specific resource: the theory of resource destroying maps, the one-shot operational resource theory, and the resource theory of quantum channels.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2018
Cataloged from PDF version of thesis.
Includes bibliographical references.
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
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