Generators and Relations for the Group U₄(ℤ[1/√2, i])

dc.contributor.author	Greylyn, Seth E. M.
dc.contributor.copyright-release	Not Applicable	en_US
dc.contributor.degree	Master of Science	en_US
dc.contributor.department	Department of Mathematics & Statistics - Math Division	en_US
dc.contributor.ethics-approval	Not Applicable	en_US
dc.contributor.external-examiner	n/a	en_US
dc.contributor.graduate-coordinator	Dr. Sara Faridi	en_US
dc.contributor.manuscripts	Not Applicable	en_US
dc.contributor.thesis-reader	Dr. Jason I. Brown	en_US
dc.contributor.thesis-reader	Dr. Karl Dilcher	en_US
dc.contributor.thesis-supervisor	Dr. Peter Selinger	en_US
dc.date.accessioned	2014-08-22T14:46:43Z
dc.date.available	2014-08-22T14:46:43Z
dc.date.defence	2014-08-18
dc.date.issued	2014-08-22
dc.description.abstract	We give a presentation by generators and relations of the group U₄(ℤ[1/√2, i]) of unitary 4×4 matrices with entries in the ring ℤ[1/√2, i]. This is motivated by the problem of exact synthesis for the Clifford+T gate set in quantum computation.	en_US
dc.identifier.uri	http://hdl.handle.net/10222/54000
dc.language.iso	en	en_US
dc.subject	quantum computing, synthesis of quantum circuits, circuit simplification, Clifford+T circuits, generators and relations, unitary group	en_US
dc.title	Generators and Relations for the Group U₄(ℤ[1/√2, i])	en_US

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