时间最优条件下任意两比特量子纠缠态的制备

上海交通大学学报（自然版） ›› 2014, Vol. 48 ›› Issue (05): 663-667.

• 自动化技术、计算机技术 • 上一篇下一篇

时间最优条件下任意两比特量子纠缠态的制备

黄泽霞1a,2，黄德才1b，俞攸红1c

(1. 浙江工业大学 a.信息学院； b.计算机科学与技术学院、软件学院； c. 理学院，杭州 310023；2. 绍兴文理学院元培学院信息与电子系，浙江绍兴 312000)

收稿日期:2013-07-15
基金资助:
国家自然科学基金 (10774131)资助项目

Time-Optimized Generation of Two-Qubit Entanglement States

HUANG Zexia1a,2，HUANG Decai1b，YU Youhong1c

(a. College of Information Engineering; b. College of Computer Science and Technology, School of Software; c. College of Science, 1. Zhejiang University of Technology, Hangzhou 310023, China;2. Department of Information and Electronic, Yuanpei College, Shaoxing University, Shaoxing 312000, Zhejiang, China)

Received:2013-07-15

摘要/Abstract

摘要：

借助于海森堡模型，利用量子幺正门实现了量子状态幺正演化的时间最优调控.针对基态|00〉、|11〉、|01〉和|10〉，分析了均匀磁场作用下当时间最优时任意纠

关键词: 幺正门, 纠缠态, 时间最优, 纠缠态制备

Abstract:

A time-optimized method to control the unitary time evolution in a quantum unitary gate was proposed using the Heisenberg model. For two classes of states |00〉，|11〉 and |01〉，|10〉, the time-optimized generation of any target entangled state under a uniform magnetic field was analyzed, and a novel strategy based on the time-optimized method to generate two qubit entangled states was suggested. The effectiveness of the proposed strategy was theoretically verified by simulations.

Key words: unitary gate, entangled states, time-optimized, generation of entangled states

中图分类号:

TP 13

黄泽霞1a,2，黄德才1b，俞攸红1c. 时间最优条件下任意两比特量子纠缠态的制备[J]. 上海交通大学学报（自然版）, 2014, 48(05): 663-667.

HUANG Zexia1a,2，HUANG Decai1b，YU Youhong1c. Time-Optimized Generation of Two-Qubit Entanglement States[J]. Journal of Shanghai Jiaotong University, 2014, 48(05): 663-667.

参考文献

［1］Togan E, Chu Y, Trifonov A S, et al. Quantum entanglement between an optical photon and a solidstate spin qubit ［J］. Nature, 2010, 466: 730734.

［2］Qian J, Qian Y, Feng X L, et al. Generation and discrimination of GreenbergerHorneZeilinger states using dipoleinduced transparency in a cavitywaveguide system ［J］. Physical Review A, 2007, 75(3): 03230910323094.

［3］Jin L, Song Z. Generation of GreenbergerHorneZeilinger and W states for stationary qubits in a spin network via resonance scattering ［J］. Physical Review A, 2009, 79(4): 04234110423418.

［4］Yu C S, Yi X X, Song H S, et al. Robust preparation of GreenbergerHorneZeilinger and W states of three distant atoms ［J］. Physical Review A, 2007, 75(4): 04430110443014.

［5］Zheng S B. Highspeed geometric quantum phase gates for trapped ions in thermal motion ［J］. Physical Review A, 2006, 74(3): 03232210323225.

［6］He D G, Dong Y L, Fang J X. Entangled coherent states: Generation ［J］. Chinese Journal of Quantum Electronics, 2011, 28(4): 407413.

［7］Zhang Y, Lapert M, Sugny D, et al. Timeoptimal control of spin 1/2 particles in the presence of radiation damping and relaxation ［J］. The Journal of Chemical Physics, 2011, 134(5): 05410310541035.

［8］Lapert M, Salomon J, Sugny D. Timeoptimal monotonically convergent algorithm with an application to the control of spin systems ［J］. Physical Review A, 2012, 85(3): 03340610334066.

［9］Reich D M, Ndong M, Koch C P. Monotonically convergent optimization in quantum control using Krotov’s method ［J］. The Journal of Chemical Physics, 2012, 136(10):104103110410316.

［10］Roy B C, Das P K. Optimal control of multilevel quantum system with energy cost functional ［J］. International Journal of Control, 2007, 80(8): 12991306.

［11］Hsieh M, Wu R, Rabitz H, et al. Optimal control landscape for the generation of unitary transformations with constrained dynamics ［J］. Physical Review A, 2010, 81(6): 06235210623526.

［12］Peirce A P, Dahleh M A. Optimal control of quantummechanical systems: Existence, numerical approximation, and applications ［J］. Physical Review A, 1988, 37(12): 49504964.

［13］Sadiek G, Lashin E I, Abdalla M S. Entanglement of a twoqubit system with anisotropic XYZ exchange coupling in a nonuniform timedependent external magnetic field ［J］. Physica B, 2009, 404(1213): 17191728.

［14］Werlang T, Rigolin G. Thermal and magnetic quantum discord in Heisenberg models ［J］. Physical Review A, 2010, 81(4): 044101044104.

［15］Giampaolo S M, Hiesmayr B C. Genuine multipartite entanglement in the XY model ［J］. Physical Review A, 2013, 88(5): 052305052313.

［16］Liu D, Zhong Y, Liu Y, et al. Entanglement in the ground state of an isotropic threequbit transverse XY chain with energy current ［J］. Chinese Physics Letters, 2007, 24(1): 810.

［17］He Z H, Xiong Z H, Hu D M. Intrinsic decoherence on twoqubit heisenberg XX chain ［J］. Communications in Theoretical Physics, 2007, 47(5): 811815.

［18］Nowack K C, Shafiei M, Laforest M, et al. Singleshot correlations and twoqubit gate of solidstate spins ［J］. Science Magazine, 2011, 333:12691272.