政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/153487

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/153487

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 113648/144635 (79%)
Visitors : 51579099 Online Users : 1012

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Scope

please add "double quotation mark" for query phrases to get precise results

please goto advance search for comprehansive author search

Adv. Search

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

Goto mobile version

政大典藏 > College of Science > Graduate Institute of Applied Physics > Theses > Item 140.119/153487

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/153487

Title:	於近期量子計算機量測糾結熵 Probing Entanglement Entropy on Near-term Quantum Computers
Authors:	張淮竣 Chang, Huai-Chun
Contributors:	許琇娟 Hsu, Hsiu-Chuan 張淮竣 Chang, Huai-Chun
Keywords:	嘈雜中等規模量子機器 IBM Quantum 淬火動力學 Su–Schrieffer–Heeger 模型任尼熵隨機測量錯誤緩解 Noisy Intermediate-Scale Quantum Device IBM Quantum Quench dynamics Su–Schrieffer–Heeger model Renyi entropy Randomized measurement Error mitigation
Date:	2024
Issue Date:	2024-09-04 15:26:35 (UTC+8)
Abstract:	在本篇論文中，我們在嘈雜中等規模量子機器（Noisy Intermediate-Scale Quantum Device，簡稱NISQ 機器）上模擬了Su–Schrieffer–Heeger 模型。主要運用了IBM Quantum 上所提供的量子電腦，透過隨機測量進行第二任尼熵（second-order Renyi entropy）的量測。為了在NISQ 機器上處理部分二聚化淬火哈密頓量，我們應用了適應性時間步長的Trotter decomposition 以減少電路深度。同時我們也考慮了完全二聚化極限淬火哈密頓量，其中時間演化算子可以精確地映射到量子閘，因此降低了嘈雜的影響。在錯誤緩解之後，糾纏熵的振盪模式與理論很好地吻合。為了有效地處理隨機測量所需的大量量子電路板和數據，我們開發了一個名為Qurry 的Python 套件工具，用於處理前述實驗的工作流程的管理、自動化、以及運用平行化計算進行後處理。最後我們還研究了隨機量測任尼熵的誤差標度分析，及其在模擬更大系統時會面臨的挑戰。 In this thesis, we explore the quench dynamics of the Su–Schrieffer–Heeger (SSH) model and quantum entanglement using Noisy Intermediate-Scale Quantum (NISQ) computers, specifically on the IBM Quantum platform. We investigate the second-order Renyi entropy through randomized measurements to characterize the entanglement of quantum states. To simulate partial-dimerized quench Hamiltonians, we employ Trotter decomposition with an adaptive step size to reduce circuit depth. In the fully dimerized limit, the time evolution operator is exactly mapped to quantum gates, which minimizes noise. After applying error mitigation techniques, we find that the entanglement entropy oscillations align with theoretical predictions. Additionally, we developed a Python package called Qurry to manage workflows and facilitate parallel post-processing. Finally, we analyze the error scaling of Renyi entropy measurements and discuss the challenges encountered when simulating larger systems.
Reference:	[1] Tiff Brydges, Andreas Elben, Petar Jurcevic, Benoît Vermersch, Christine Maier, Ben P. Lanyon, Peter Zoller, Rainer Blatt, and Christian F. Roos. Probing rényi entanglement entropy via randomized measurements. Science, 364(6437):260–263, 2019. [2] Huai-Chun Chang. Qurry - the quantum experiment manager for qiskit, 2024. [3] Huai-Chun Chang, Hsiu-Chuan Hsu, and Yu-Cheng Lin. Probing entanglement dy- namics and topological transitions on noisy intermediate-scale quantum computers, 2024. [4] Ivan B. Djordjevic. Quantum Information Processing, Quantum Computing, and Quantum Error Correction. Elsevier, 2nd edition, 2021. [5] Elben, A., Vermersch, B., Roos, C. F., Zoller, and P. Statistical correlations between locally randomized measurements: A toolbox for probing entanglement in many- body quantum states. Phys. Rev. A, 99:052323, May 2019. [6] Feynman and Richard P. Simulating physics with computers. International journal of theoretical physics, 21(6/7):467–488, 1982. [7] GambettaandJay. Ibm quantum roadmap to build quantum-centric supercomputers, May 2022. Accessed: 2024-07-20. [8] IBM Newsroom. Ibm debuts next-generation quantum processor & ibm quantum system two, extends roadmap to advance era of quantum utility, December 2023. Accessed: 2024-07-20. [9] Javadi-Abhari,Ali,Treinish,Matthew,Krsulich,Kevin,Wood,ChristopherJ.,Lish- man, Jake, Gacon, Julien, Martiel, Simon, Nation, Paul D., Bishop, Lev S., Cross, Andrew W., Johnson, Blake R., Gambetta, and Jay M. Quantum computing with Qiskit, 2024. [10] Fujitsu Limited. Fujitsu develops quantum/hpc hybrid computing technology to op- timize solution brokering for customers, Nov 2022. [11] David C. McKay, Thomas Alexander, Luciano Bello, Michael J. Biercuk, Lev Bishop, Jiayin Chen, Jerry M. Chow, Antonio D. Córcoles, Daniel Egger, Stefan Filipp, Juan Gomez, Michael Hush, Ali Javadi-Abhari, Diego Moreda, Paul Nation, Brent Paulovicks, Erick Winston, Christopher J. Wood, James Wootton, and Jay M. Gambetta. Qiskit backend specifications for openqasm and openpulse experiments, 2018. [12] Mikio Morita, Yoshinori Tomita, Junpei Koyama, and Koichi Kimura. Simulator demonstration of large scale variational quantum algorithm on hpc cluster, 2024. [13] Preskill and John. FAULT-TOLERANT QUANTUM COMPUTATION, pages 213– 269. World Scientific, 1997. [14] Preskill and John. Quantum Computing in the NISQ era and beyond. Quantum, 2:79, August 2018. [15] John Preskill. Quantum computing 40 years later, 2023. [16] Su, W. P., Schrieffer, J. R., Heeger, and A. J. Solitons in polyacetylene. Phys. Rev. Lett., 42:1698–1701, Jun 1979. [17] Vovrosh,Joseph,Khosla,KiranE.,Greenaway,Sean,Self,Christopher,Kim,M.S., Knolle, and Johannes. Simple mitigation of global depolarizing errors in quantum simulations. Phys. Rev. E, 104:035309, Sep 2021.
Description:	碩士國立政治大學應用物理研究所 111755001
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0111755001
Data Type:	thesis
Appears in Collections:	[Graduate Institute of Applied Physics] Theses

Files in This Item:

File	Size	Format
500101.pdf	90791Kb	Adobe PDF	0	View/Open

All items in 政大典藏 are protected by copyright, with all rights reserved.

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

DSpace Software Copyright © 2002-2004 MIT & Hewlett-Packard / Enhanced by NTU Library IR team Copyright © - Feedback