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Adaptive Tomography of Pure States and Unitary Gates

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dc.contributor.advisor Zeng, Bei
dc.contributor.author Li, Carson Yanning
dc.date.accessioned 2017-01-04T18:25:18Z
dc.date.available 2017-01-04T18:25:18Z
dc.date.copyright 2017-01
dc.date.created 2016-10-05
dc.date.issued 2017-01-04
dc.identifier.uri http://hdl.handle.net/10214/10156
dc.description.abstract The successful implementation of complex quantum algorithms depend crucially on our ability to determine unknown quantum states and operations. In this work, we present adaptive and non-adaptive methods to determine a 1-qubit unitary gate with 5 and 6 Pauli measurements. We demonstrate the method on the Bloch sphere to show that studying higher dimensional real space may help in finding tomography methods of multiple qubit unitary gates. Next, we show an adaptive method to uniquely determine a general d-dimensional pure state among all quantum states with at most 2d - 1 measurements. This method is then applied to determine a general d-dimensional unitary gate with at most d^2 + d - 1 measurements. These methods are applied in tomographing a 2-qubit universal gate set with five unitary gates. On the NMR experimental system, the lowest fidelity achieved was above 97% with 42 Pauli measurements, comparing to 99% using traditional method that requires 240 Pauli measurements. en_US
dc.language.iso en en_US
dc.rights Attribution-NonCommercial-NoDerivs 2.5 Canada *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/2.5/ca/ *
dc.subject Research Subject Categories::NATURAL SCIENCES en_US
dc.subject Physics en_US
dc.subject Quantum Information en_US
dc.subject Quantum Computing en_US
dc.subject Quantum Tomography en_US
dc.title Adaptive Tomography of Pure States and Unitary Gates en_US
dc.type Thesis en_US
dc.degree.programme Physics en_US
dc.degree.name Master of Science en_US
dc.degree.department Department of Physics en_US


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Attribution-NonCommercial-NoDerivs 2.5 Canada Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 2.5 Canada