Main content

Adaptive Tomography of Pure States and Unitary Gates

Show simple item record

dc.contributor.advisor Zeng, Bei Li, Carson Yanning 2017-01-04T18:25:18Z 2017-01-04T18:25:18Z 2017-01 2016-10-05 2017-01-04
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 *
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 Physics en_US Master of Science en_US Department of Physics en_US

Files in this item

Files Size Format View Description
Li_Carson_201701_MSc.pdf 2.210Mb PDF View/Open Single PDF File MSc Thesis Carson Li 0859759 Jan. 2017

This item appears in the following Collection(s)

Show simple item record

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