政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/131977
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    题名: 以量子電腦模擬量子自旋鏈
    Simulating quantum spin chains on a quantum computer
    作者: 李佳豪
    Lee, Jia-Hao
    贡献者: 林瑜琤
    許琇娟

    Lin, Yu-Cheng
    Hsu, Hsiu-Chuan

    李佳豪
    Lee, Jia-Hao
    关键词: 量子電路
    量子自旋鏈
    變分量子特徵值解法
    量子糾纏
    量子費雪訊息
    IBM-Q
    Qiskit
    Quantum circuit
    Quantum spin chain
    Variational Quantum Eigensolver (VQE)
    Quantum entanglement
    Quantum Fisher information
    日期: 2020
    上传时间: 2020-09-02 14:08:38 (UTC+8)
    摘要: 我們利用雲端 IBM-Q 量子電腦及其搭配的程式套件 Qiskit 來探討量子自旋鏈的基態性質及淬火動力學。我們先在傳統電腦上運用變分量子特徵值解法求得自旋鏈的近似基態波函數,再以量子電腦或 Qiskit 提供的模擬器測量磁化量、量子費雪訊息等觀察量。我們根據所得的結果討論變分法及目前量子電腦在處理量子多體問題上的侷限。
    We study ground-state properties and quench dynamics of the quantum Ising chain using IBM’s cloud-based quantum computer and its programming framework Qiskit. The approximate ground states of the spin chain are obtained by means of the Variational Quantum Eigensolver (VQE), implemented on conventional computers. Measurements of several observables, such as magnetization and quantum Fisher information, for the ground states are then carried out on a quantum computer or on a simulator provided by Qiskit. Based on our results, we discuss some limitations of the VQE and its implementation on a quantum computer for solving the quantum many-body problem.
    參考文獻: [1] R. P. Feynman, Int. J. Theor. Phys 21 (1982).
    [2] The Q# Programming Language, https://docs.microsoft.com/enus/quantum/.
    [3] Cirq, https://cirq.readthedocs.io/en/stable.
    [4] Qiskit, https://qiskit.org/.
    [5] A. Barenco et al., Physical Review A 52, 3457–3467 (1995).
    [6] A. Peruzzo et al., Nature communications 5, 4213 (2014).
    [7] G. Nannicini, Physical Review E 99, 013304 (2019).
    [8] M. J. Powell, A direct search optimization method that models the objective and constraint functions by linear interpolation, in Advances in Optimization and Numerical Analysis. Mathematics and Its Applications, pages 51–67, 1994.
    [9] J. C. Spall, Johns Hopkins apl technical digest 19, 482 (1998).
    [10] G. Vidal, Physical Review Letters 93 (2004).
    [11] M. Suzuki, Communications in Mathematical Physics 51, 183 (1976).
    [12] N. Hatano and M. Suzuki, Lecture Notes in Physics , 37-68 (2005).
    [13] E. Gustafson, Y. Meurice, and J. Unmuth-Yockey, Physical Review D 99 (2019).
    [14] A. Smith, M. S. Kim, F. Pollmann, and J. Knolle, npj Quantum Information 5 (2019).
    [15] A. W. Sandvik, Computational studies of quantum spin systems, in AIP Conference Proceedings, volume 1297, pages 135–338, American Institute of Physics, 2010.
    [16] H. F. Song et al., Physical Review B 85 (2012).
    [17] P. Hyllus et al., Physical Review A 85 (2012).
    [18] G. Tóth, Phys. Rev. A 85, 022322 (2012).
    [19] O. Gühne, G. Tóth, and H. J. Briegel, New Journal of Physics 7, 229–229 (2005).
    [20] QuTiP: Quantum Toolbox in Python, http://qutip.org/.
    描述: 碩士
    國立政治大學
    應用物理研究所
    107755004
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0107755004
    数据类型: thesis
    DOI: 10.6814/NCCU202001614
    显示于类别:[應用物理研究所 ] 學位論文

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