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A feasibility study on the implementation of unsharp quantum measurements on trapped 171Yb and 174Yb ions

Thesis (PhD)--Stellenbosch University, 2026.

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Main Author: Bester, Siann
Other Authors: Steenkamp, C. M.
Format: Thesis
Language:English
Published: Stellenbosch : Stellenbosch University 2026
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access_status_str Open Access
author Bester, Siann
author2 Steenkamp, C. M.
author_browse Bester, Siann
Steenkamp, C. M.
author_facet Steenkamp, C. M.
Bester, Siann
author_sort Bester, Siann
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (PhD)--Stellenbosch University, 2026.
format Thesis
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institution Stellenbosch University (South Africa)
language English
last_indexed 2026-06-10T12:43:03.527Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2026
publishDateRange 2026
publishDateSort 2026
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
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spelling oai:scholar.sun.ac.za:10019.1/135623 A feasibility study on the implementation of unsharp quantum measurements on trapped 171Yb and 174Yb ions Bester, Siann Steenkamp, C. M. Matjelo, N. J. Tame, M. S. Stellenbosch University. Faculty of Science. Dept. of Physics. Thesis (PhD)--Stellenbosch University, 2026. Bester, S. 2026. A feasibility study on the implementation of unsharp quantum measurements on trapped 171Yb and 174Yb ions. Unpublished doctoral dissertation. Stellenbosch: Stellenbosch University [online]. Available: https://scholar.sun.ac.za/items/4d7dc848-a519-4ba1-8fd2-9aa06760c03b Unsharp measurements belong to a class of non-projective measurements in quantum mechanics that can be described by positive operator valued measures. A series of unsharp measurements can, in principle, be used to track the dynamics of a quantum system if the measurements are realised with weak coupling so that the disturbance of the quantum system is limited. The aim of this work is to determine the feasibility conditions for the experimental implementation of unsharp measurements on trapped ytterbium ions. This is realised in two parts. Firstly, an ion trapping experimental setup was recommissioned such that trapping of both 171Yb+ and 174Yb+ was accomplished. Several systematic techniques were developed to ensure the ease and reliability of trapping within our setup. Using trapped clouds of 171Yb+, several control experiments were demonstrated. These results showcase the effects of the sideband frequency, polarisation and laser wavelength on the efficiency of Doppler cooling, state preparation and state detection. The second part of this dissertation deals with simulating unsharp measurements on these trapped ions. The aim was to simulate the unsharp measurement implementation scheme proposed by Choudhary et al. [1] on a system of two ytterbium ions (171Yb+ and 174Yb+). The simulation explicitly includes spontaneous decay processes present in the experiment, for the first time to our knowledge. By including these processes as well as accounting for realistic experimental parameters, the feasibility conditions for the experimental implementation of unsharp measurements are determined. Using this simulation, an estimation scheme is implemented which is capable of tracking an ion qubit undergoing Rabi oscillations by using only the outcomes of a series of unsharp measurements applied to the ion. We developed a method to determine convergence of this estimation scheme without knowledge of the qubit state, which can be applied in an experimental setting. This protocol was then tested under various conditions, showcasing the robustness of the protocol to experimental uncertainty and spontaneous processes. Incorporating realistic experimental parameters and uncertainties, we are able to identify the relevant time scales of qubit dynamics that could feasibly be investigated with this technique. Doctoral 2026-04-02T10:56:25Z 2026-04-02T10:56:25Z 2026-03 Thesis https://scholar.sun.ac.za/handle/10019.1/135623 en Stellenbosch University 167 pages : ill. application/pdf Stellenbosch : Stellenbosch University
spellingShingle Bester, Siann
A feasibility study on the implementation of unsharp quantum measurements on trapped 171Yb and 174Yb ions
title A feasibility study on the implementation of unsharp quantum measurements on trapped 171Yb and 174Yb ions
title_full A feasibility study on the implementation of unsharp quantum measurements on trapped 171Yb and 174Yb ions
title_fullStr A feasibility study on the implementation of unsharp quantum measurements on trapped 171Yb and 174Yb ions
title_full_unstemmed A feasibility study on the implementation of unsharp quantum measurements on trapped 171Yb and 174Yb ions
title_short A feasibility study on the implementation of unsharp quantum measurements on trapped 171Yb and 174Yb ions
title_sort feasibility study on the implementation of unsharp quantum measurements on trapped 171yb and 174yb ions
url https://scholar.sun.ac.za/handle/10019.1/135623
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