{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/122846"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/122846","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"On quantum randomness and quantum resources","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. 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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."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph. D."]},{"key":"dc:title","label":"Title","values":["On quantum randomness and quantum resources"]}]}],"canonical_facts":{"dc:contributor.advisor":["Seth Lloyd."],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Physics","Phys"],"dc:contributor.other":["Massachusetts Institute of Technology. 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