政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/71760

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 114205/145239 (79%)
Visitors : 52583289 Online Users : 856

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

政大機構典藏 > 理學院 > 應用物理研究所 > 學位論文 > Item 140.119/71760

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/71760

Title:	以模擬量子退火過程探索自旋系統的基態 Approaching ground states of spin systems via simulated quantum annealing
Authors:	黃湘喻 Huang, Hsiang Yu
Contributors:	林瑜琤 Lin, Yu Cheng 黃湘喻 Huang, Hsiang Yu
Keywords:	D-Wave 計算機量子退火模擬退火 Kibble-Zurek 機制 D-Wave device quantum annealing simulated annealing Kibble-Zurek mechanism
Date:	2014
Issue Date:	2014-12-01 14:27:31 (UTC+8)
Abstract:	專為解決最佳化問題設計的程式化量子退火計算機 ---D-Wave 系統 --- 已於近年問世。為瞭解 D-Wave 退火過程的性質，許多研究團隊進行各類型的測試，試圖將 D-Wave 計算機運算效能與其它古典及量子模擬退火演算法作比較。本論文利用量子蒙地卡羅(quantum Monte Carlo) 計算模擬橫場下的易辛模型，並探討藉降低橫場（量子擾動）逼近量子臨界點的退火動力學之標度行為。我們的結果顯示，隨模擬時間進行退火的動力過程並不反應真實的量子動力現象。我們因此建議，比較量子退火與古典退火的計算測試待需更嚴謹的實驗設計。 Recently, a programmable quantum annealing device, the D-Wave system, has been built that attempts to solve optimization problems by adiabatically quenching quantum fluctuations. In order to get insights into the nature of the D-Wave annealing process, different research teams have performed several tests of the D-Wave and compared its performance to other classical and quantum simulated annealing algorithms. In this thesis we use quantum Monte Carlo method to simulate quantum annealing in the transverse-field Ising model, and study scaling aspects of the quantum phase transition approached by changing the transverse field as a function of simulation time. We find that quenching quantum fluctuations in simulation time does not access the true quantum dynamics. Our results therefore show a careful design of benchmark tests is needed for comparing a quantum annealer to a simulated classical annealer.
Reference:	[1] G. E. Santoro, R. Martonak, E. Tosatti, and R. Car, Science 295, 2427 (2002). [2] R. Martonak, G. E. Santoro, and E. Tosatti, Phys. Rev. B 66, 094203 (2002). [3] S. Kirkpatrick et al., science 220, 671 (1983). [4] T. W. Kibble, Physics Reports 67, 183 (1980). [5] W. Zurek, Nature 317, 505 (1985). [6] A. Polkovnikov, Phys. Rev. B 72, 161201 (2005). [7] C.-W. Liu, A. Polkovnikov, and A. W. Sandvik, Phys. Rev. B 89, 054307 (2014). [8] B. Friedrich and D. Herschbach, Physics Today 56, 53 (2003). [9] D. S. Fisher and D. A. Huse, Phys. Rev. Lett. 56, 1601 (1986). [10] D. S. Fisher and D. A. Huse, Phys. Rev. B 38, 386 (1988). [11] G. Parisi, Phys. Rev. Lett. 43, 1754 (1979). [12] G. Parisi, Phys. Rev. Lett. 50, 1946 (1983). [13] M. Mezard, G. Parisi, N. Sourlas, G. Toulouse, and M. Virasoro, Phys. Rev. Lett. 52, 1156 (1984). [14] D. Bitko, T. F. Rosenbaum, and G. Aeppli, Phys. Rev. Lett. 77, 940 (1996). [15] A. Messiah, Quantum Mechanics, Volume II, Wiley, New York, 1976. [16] E. Farhi et al., Science 292, 472 (2001). [17] J. G. Andrew M. Childs, Edward Farhi and S. Gutmann, Quantum Information and Computation 2, 181 (2002). [18] T. Kadowaki and H. Nishimori, Phys. Rev. E 58, 5355 (1998). [19] N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953). [20] G. E. Santoro and E. Tosatti, Journal of Physics A: Mathematical and General 39, R393 (2006). [21] S. Boixo et al., Nature Physics 10, 218 (2014). [22] V. Bapst and G. Semerjian, Journal of Physics: Conference Series 473, 012011 (2013). [23] R. J. Baxter, Exactly solved models in statistical mechanics, Courier Dover Publications, 2007. [24] J. Cardy, Scaling and renormalization in statistical physics, volume 5, Cambridge University Press, 1996. [25] S. Sachdev, Quantum phase transitions, Wiley Online Library, 2007. [26] R. P. Feynman, Reviews of Modern Physics 20, 367 (1948). [27] T. W. Kibble, Journal of Physics A: Mathematical and General 9, 1387 (1976). [28] W. H. Zurek, Physics Reports 276, 177 (1996). [29] J. Dziarmaga, Phys. Rev. Lett. 95, 245701 (2005). [30] W. H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett. 95, 105701 (2005). [31] H. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959). [32] M. Suzuki, Prog. Theor. Phys. 56, 1454 (1976). [33] T. F. Rønnow et al., Science 345, 420 (2014). [34] R. H. Swendsen and J.-S. Wang, Physical review letters 58, 86 (1987).
Description:	碩士國立政治大學應用物理研究所 101755005 103
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0101755005
Data Type:	thesis
Appears in Collections:	[應用物理研究所 ] 學位論文

Files in This Item:

File	Description	Size	Format
500501a.pdf		1431Kb	Adobe PDF2	885	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