請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/90048完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 林俊達 | zh_TW |
| dc.contributor.advisor | Guin-Dar Lin | en |
| dc.contributor.author | 曹以琳 | zh_TW |
| dc.contributor.author | Yi-Lin Tsao | en |
| dc.date.accessioned | 2023-09-22T17:11:59Z | - |
| dc.date.available | 2023-11-09 | - |
| dc.date.copyright | 2023-09-22 | - |
| dc.date.issued | 2023 | - |
| dc.date.submitted | 2023-08-11 | - |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/90048 | - |
| dc.description.abstract | 離子阱系統由於其相當長的相關時間以及同種的離子的一致性，在量子計算領域中展現了其高度的可行性和可靠性。然而糾纏大量的離子量子位元依然是個重大的挑戰。近幾年來，提出了一種被稱為微潘寧阱陣列的方案，有望突破傳統方法的限制。在這篇論文中，我們首先展示微潘寧阱陣列的基本機制，並接著著重於其在基態冷卻和實現兩量子位元閘的獨特特性。在基態冷卻部分，我們發現微潘寧阱陣列提供了獨特的優勢。即便系統從蘭姆-迪克區域外開始冷卻，也能在不遇到居量束縛的情況下實現基態冷卻。我們還利用微潘寧阱陣列能個別離子的調控軸向頻率的能力，以簡化與兩量子位元閘有關的運動並使保真度不增加超過10−2。因此，兩量子位元閘的複雜性和雷射功率需求可以被大大降低。我們的發現表明，微潘寧阱陣列在量子計算上展現了相當的潛力。 | zh_TW |
| dc.description.abstract | Trapped ion system represents a highly promising and viable platform for quantum computing due to their long coherence time and the uniformity exhibited by ions of the same species. However, entangling a large number of ion qubits remains a significant challenge in this domain. In recent years, a novel approach called the micro-Penning trap array has been proposed as a potential solution to overcoming some of the limitations encountered in conventional schemes.
In this thesis, we first demonstrate the fundamental mechanics of the micro-Penning trap array. We then focus on its unique properties in the domain of ground-state cooling and the implementation of two-qubit gates. Regarding ground state cooling, we discover that the micro-Penning trap array offers a distinct advantage of enabling ground-state cooling without encountering population trapping issues, even when the system initiates cooling outside the Lamb-Dicke regime. Additionally, we utilize the capability of individually modulating axial frequency for each ion within the micro-Penning trap array to simplify the associated motion in two-qubit gates without increasing infidelity more than 10−2. As a result, the complexity and laser power requirements of the two-qubit gate pulse can be significantly reduced. Our discoveries suggest that the micro-Penning trap system exhibits great potential for quantum computing. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2023-09-22T17:11:59Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2023-09-22T17:11:59Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | Contents
Page Acknowledgements i 摘要 iii Abstract v Contents vii List of Figures xi List of Tables xvii Chapter 1 Introduction 1 1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Penning Traps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Quantum Gates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3.1 Cirac-Zoller Gates . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3.2 Mølmer-Sørenson Gates . . . . . . . . . . . . . . . . . . . . . . . 7 1.3.3 Geometric Phase Gates Driven by Spin-Dependent Forces . . . . . 9 1.4 Thesis Outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Chapter 2 Dynamics of Penning Traps 13 2.1 Single Ion Dynamics in a Penning Trap . . . . . . . . . . . . . . . . 13 2.1.1 Classical Motion . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.1.2 Quantized Motion . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.1.3 Rotating Frame Perspective . . . . . . . . . . . . . . . . . . . . . . 17 2.2 Micro-Penning Trap Array . . . . . . . . . . . . . . . . . . . . . . . 19 2.2.1 Normal Modes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.2.2 Equilibrium Position Shift . . . . . . . . . . . . . . . . . . . . . . 21 2.3 Doppler Cooling of Penning Trapped Ions . . . . . . . . . . . . . . . 24 2.3.1 Doppler Cooling . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2.3.2 Issues with Magnetron Modes and Axialization Field . . . . . . . . 25 2.3.3 Overall Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.3.4 Possible Cooling Limit . . . . . . . . . . . . . . . . . . . . . . . . 30 2.4 Chapter Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 Chapter 3 Sideband Cooling 33 3.1 Resolved Sideband Cooling . . . . . . . . . . . . . . . . . . . . . . 33 3.1.1 Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3.1.2 Population Trapping . . . . . . . . . . . . . . . . . . . . . . . . . . 35 3.2 Sideband Cooling in a Micro-Penning Trap Array . . . . . . . . . . . 38 3.2.1 Motional Frequency Clustering . . . . . . . . . . . . . . . . . . . . 38 3.2.2 Approximate Approach . . . . . . . . . . . . . . . . . . . . . . . . 38 3.3 Cooling Limit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 3.3.1 Heating Effects . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 3.3.2 Estimation of Cooling Limit . . . . . . . . . . . . . . . . . . . . . 46 3.4 Chapter Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Chapter 4 Gate Design 49 4.1 Gate Scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 4.1.1 Architecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 4.1.2 Transverse Gate . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 4.2 Pulse Shaping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 4.3 Simulation Results . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 4.4 Chapter Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 Chapter 5 Conclusion 57 References 59 | - |
| dc.language.iso | en | - |
| dc.subject | 離子阱 | zh_TW |
| dc.subject | 潘寧阱 | zh_TW |
| dc.subject | 量子計算 | zh_TW |
| dc.subject | 基態冷卻 | zh_TW |
| dc.subject | 兩量子位元閘 | zh_TW |
| dc.subject | Quantum computing | en |
| dc.subject | Penning trap | en |
| dc.subject | Ground-state cooling | en |
| dc.subject | Trapped ion | en |
| dc.subject | Two-qubit gate | en |
| dc.title | 微潘寧阱陣列離子阱系統的冷卻和位元閘設計 | zh_TW |
| dc.title | Cooling and Gate Design of Trapped Ions in a Micro-Penning Trap Array | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 111-2 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 張銘顯;王喬萱 | zh_TW |
| dc.contributor.oralexamcommittee | Ming-Shien Chang;Chiao-Hsuan Wang | en |
| dc.subject.keyword | 離子阱,量子計算,潘寧阱,基態冷卻,兩量子位元閘, | zh_TW |
| dc.subject.keyword | Trapped ion,Quantum computing,Penning trap,Ground-state cooling,Two-qubit gate, | en |
| dc.relation.page | 63 | - |
| dc.identifier.doi | 10.6342/NTU202302436 | - |
| dc.rights.note | 同意授權(全球公開) | - |
| dc.date.accepted | 2023-08-12 | - |
| dc.contributor.author-college | 理學院 | - |
| dc.contributor.author-dept | 物理學系 | - |
| 顯示於系所單位： | 物理學系 | |
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