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dc.rights.licenseCC-BY-NC-ND
dc.contributor.advisorCornelissen, G.L.M.
dc.contributor.authorHouben, J.B.
dc.date.accessioned2016-09-22T17:00:37Z
dc.date.available2016-09-22T17:00:37Z
dc.date.issued2016
dc.identifier.urihttps://studenttheses.uu.nl/handle/20.500.12932/24443
dc.description.abstractWe treat the results of the 2015 paper by Cubitt et al. entitled “Undecidability of the Spectral Gap”, and the constructions required to arrive at these results. This paper showed that a specific quantum mechanical problem (the “spectral gap problem”) is algorithmically undecidable, using techniques from computer science. We also treat the theory from quantum mechanics and computer science that is required to understand these results and constructions.
dc.description.sponsorshipUtrecht University
dc.format.extent806288
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.titleUndecidability of the Spectral Gap
dc.type.contentBachelor Thesis
dc.rights.accessrightsOpen Access
dc.subject.keywordsquantum mechanics; computer science; decidability; computability; quantum information; quantum computing; Turing machine; quantum Turing machine; halting problem; spectrum; spectral theory; spectral gap; domino problem;
dc.subject.courseuuWiskunde


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