Main content

Adaptive Tomography of Pure States and Unitary Gates

Show full item record

Title: Adaptive Tomography of Pure States and Unitary Gates
Author: Li, Carson Yanning
Department: Department of Physics
Program: Physics
Advisor: Zeng, Bei
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.
URI: http://hdl.handle.net/10214/10156
Date: 2017-01
Rights: Attribution-NonCommercial-NoDerivs 2.5 Canada


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 full 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