基于偏差的李雅普诺夫方法超导量子比特系统调控

J4 ›› 2016, Vol. 33 ›› Issue (4): 476-483.

基于偏差的李雅普诺夫方法超导量子比特系统调控

杨鑫, 胡菊菊，嵇英华

江西师范大学物理与通信电子学院，江西南昌 330022；2 江西省光电子与通信重点实验室，江西南昌 330022

收稿日期:2015-03-26 修回日期:2015-05-22 出版日期:2016-07-28 发布日期:2016-07-28
通讯作者: 嵇英华（1960-），江西临川人，教授，研究生导师，主要研究方向为基于低温技术的超导量子逻辑器件和电路的设计，分析及制备工艺的超导电子学的研究。 E-mail:jyh2006@jxnu.edu.cn

Manipulation of superconducting qubits system based on deviation Lyapunov method based on deviation Lyapunov method

Received:2015-03-26 Revised:2015-05-22 Published:2016-07-28 Online:2016-07-28

摘要/Abstract

摘要： 应用李雅普诺夫控制理论，对含约瑟夫森结电荷量子比特系统的状态实施了有效调控。数值仿真表明：基于偏差的李雅普诺夫控制方法不仅避免了复杂的迭代计算，而且可以确保量子系统的稳定。因此，李雅普诺夫方法是一种具一定有实用意义的调控方法。

Abstract: We application of Lyapunov control theory to the Joseph junction charge qubit system state implementation of effective regulation and control. Numerical simulations show that: the method of Lyapunov based on deviation not only avoid the complexity of iterative calculation, but also ensure the stability of quantum systems. Therefore, Lyapunov control is a kinds of method has certain practical significance.

Key words: Lyapunov control

杨鑫, 胡菊菊，嵇英华. 基于偏差的李雅普诺夫方法超导量子比特系统调控[J]. J4, 2016, 33(4): 476-483.

参考文献

[1] Nielsen M A, Chuang I L.Quantum Computation and Quantum Information Ed.1.Cambridge: Cambridge Univ. Press, (2000) [2]丛爽. 量子系统控制做什么？[J].系统仿真技术及其应用，, （2014）, :- [3] Mazyar Mirrahimi, Ramon van Handel, Stabilizing feedback controls of quantum systems, Control Optim.46, 445-467 (2007) [4]. Claudio Altafini, Francesco Ticozzi, Modeling and Control of Quantum systems: An Introduction, Automatic Control, 57(8):1898-1917, (2012) [5] Goren Gordon, Gershon Kurizki and Daniel A.Lidar.Optimal Dynamical Decoherence [6]Control of a Qubit.Phys, Rev. Lett. 101, 010403 (2008) [7] Agata M Branczvk Paulo E, M.F.Mendonca, Alexei Gilchrist, Andrew C. Doherty, and Stephen D.Bartleet. Quantum Control of a single Qubit. Phys, Rev. A. 75, 012329 (2007) [8] Garng M.Huang T. J, Tarn and John W. Clark. On the Controllability of Quantummechanical systems. Journal of Mathematical Physics 24, 2608 (1983) [9] Bocko M F, Herr A M, Feldman M J.IEEETrans. App.1 Supercon. 7:3638 (1997) [10] Averin D V.Solid State Commun. 105:659. (1998) [11] S.C. Hou, L. C. Wang, X. X. Yi. Realization of quantum gates by Lyapunov control. Physics Letters A .(2014) [12] 刘健秀, 丛爽.量子系统的状态跟踪控制及算符制备(D), 中科大博士论文, (2014) [13] D, D’Alessandro, Introduction to Quantum Control and Dynamics, Taylor and Francis Group, Boca Raton.(2007) [14] 毛广丰, 于扬, 基于约瑟夫森器件的超导量子比特.(2007) [15] Julio Gea-Banacloche.Qubit-qubit interaction in quantum computers. Phys, Rev. A. 57, R1(R)-Published 1 Junuary. (1998 [16] 匡森, 丛爽.基于Lpunov和最优控制理论的量子系统控制方法的研究(D).中科大博士论文. (2007) [17] Jae Weon Lee, Dmitri V.Averin, Giuliano Benenti and Dima L.Shepelyansky. Model of a Deterministic Detector and Dynamical Decoherence. Phys, Rev. A. 72, 012310. (2005) [18] Y, Nakamura, Yu A Pashkin, J.S. Tsai. Coherent Control of Macroscopic Quantum States in a Single-Cooper-Pair Box. Nature.398. (1999) [19] T.Yamamoto. Yu A Pashkin.et. al. Demonstration of Conditional Gate Operation Using Superconducting Charge Qubits. Nature.425. (2003) [20] Y.Nakamura C. D. Chen and J.S. Tsai. Supertroscopy of Engery-Level Splitting between Two Macroscopic Quantum States of Charge Coherently Superposed by Josephson Coupling. Phys, Rev.Lett.79. (1997) [21] D.Vion, A.Aassime.et al.Manipulating the Quantum State of an Electrical Circuit.Science.296. (2002) [22] Yuriy Makhlin.Gerd Shon and Alexander Shnirman Quantum-state engineering with Josephson junction devices.Rev.Mod.Phys. 73, 357. (2001) [23] Vijav Manikandan Janakiraman Dennis Assanis, Lyapunov Method Based Online Identification of Nonlinear Systems Using Extreme Leaning Machines.(2012)