The Hubbard Model for Universal Quantum Computation

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dc.contributor.advisorFeder, David L.
dc.contributor.authorJi, Jiawei
dc.contributor.committeememberDavidsen, Jörn
dc.contributor.committeememberHøyer, Peter
dc.contributor.committeememberSanders, Barry C.
dc.date2019-06
dc.date.accessioned2019-01-25T22:46:30Z
dc.date.available2019-01-25T22:46:30Z
dc.date.issued2019-01-24
dc.description.abstractQuantum circuits based only on matchgates are able to perform non-trivial (but not universal) quantum algorithms. Because matchgates can be mapped to non-interacting fermions, these circuits can be efficiently simulated on a classical computer. One can perform universal quantum computation by adding any non-matchgate parity-preserving gate, implying that interacting fermions are natural candidates for universal quantum computation. Most work to date has focused on Majorana fermions, which are difficult to realize and manipulate in the laboratory, despite the advantage of topologically protecting quantum information. We instead show that universal quantum computation can be implemented using interacting spinless (spin-polarized) fermions and further propose a scheme for achieving universal quantum computation with the Hubbard model, which may be realized in the laboratory based on current experimental techniques.en_US
dc.identifier.citationJi, J. (2019). The Hubbard Model for Universal Quantum Computation (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/36111
dc.identifier.urihttp://hdl.handle.net/1880/109852
dc.language.isoenen_US
dc.publisher.facultyScienceen_US
dc.publisher.institutionUniversity of Calgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.subjectuniversal quantum computationen_US
dc.subjectoptical latticeen_US
dc.subjectultracold atomen_US
dc.subjectHubbard modelen_US
dc.subject.classificationPhysics--Atomicen_US
dc.subject.classificationCondensed Matteren_US
dc.subject.classificationPhysics--Theoryen_US
dc.titleThe Hubbard Model for Universal Quantum Computationen_US
dc.typemaster thesisen_US
thesis.degree.disciplinePhysics & Astronomyen_US
thesis.degree.grantorUniversity of Calgaryen_US
thesis.degree.nameMaster of Science (MSc)en_US
ucalgary.item.requestcopytrue
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