2026-09-19T04:07:39Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1228462026-06-16T18:14:41Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Seth Lloyd.
Liu, Zi-Wen.
Massachusetts Institute of Technology. Department of Physics.
Massachusetts Institute of Technology. Department of Physics
2019-11-12T17:38:22Z
2019-11-12T17:38:22Z
2018
2018
https://hdl.handle.net/1721.1/122846
1126279172
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2018
Cataloged from PDF version of thesis.
Includes bibliographical references.
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.
by Zi-Wen Liu.
Ph.D.
Ph.D. Massachusetts Institute of Technology, Department of Physics
224 pages
eng
Massachusetts Institute of Technology
MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.
http://dspace.mit.edu/handle/1721.1/7582
Physics.
On quantum randomness and quantum resources
Thesis
application/pdf
2019-11-12T17:38:21Z
Publication
Doctoral
Phys
unknown
unknown
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