Accelerating an adiabatic process by nonlinear sweeping

doi:10.1088/1674-1056/22/9/090310

中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90310-090310.doi: 10.1088/1674-1056/22/9/090310

Accelerating an adiabatic process by nonlinear sweeping

曹兴鑫^a, 庄军^a, 宁西京^b, 张文献^a

a Department of Optical Science and Engineering, Fudan University, Shanghai 200433, China;
b Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China

收稿日期:2012-12-07 修回日期:2013-04-15 出版日期:2013-07-26 发布日期:2013-07-26
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10904017), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090071120013), and the Shanghai Pujiang Program, China (Grant No. 10PJ1401300).

Accelerating an adiabatic process by nonlinear sweeping

Cao Xing-Xin (曹兴鑫)^a, Zhuang Jun (庄军)^a, Ning Xi-Jing (宁西京)^b, Zhang Wen-Xian (张文献)^a

a Department of Optical Science and Engineering, Fudan University, Shanghai 200433, China;
b Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China

Received:2012-12-07 Revised:2013-04-15 Online:2013-07-26 Published:2013-07-26
Contact: Zhang Wen-Xian E-mail:wenxianzhang@fudan.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10904017), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090071120013), and the Shanghai Pujiang Program, China (Grant No. 10PJ1401300).

摘要/Abstract

摘要： We investigate the acceleration of an adiabatic process with the same survival probability of the ground state by sweeping a parameter nonlinearly, fast in the wide gap region and slowly in the narrow gap region, in contrast to the usual linear sweeping. We find the expected acceleration both in the Landau-Zener tunneling model and in the adiabatic quantum computing model for factorizing the number N=21.

关键词: quantum calculation, quantum adiabatic algorithm, factorization, nonlinear sweeping

Abstract: We investigate the acceleration of an adiabatic process with the same survival probability of the ground state by sweeping a parameter nonlinearly, fast in the wide gap region and slowly in the narrow gap region, in contrast to the usual linear sweeping. We find the expected acceleration both in the Landau-Zener tunneling model and in the adiabatic quantum computing model for factorizing the number N=21.

Key words: quantum calculation, quantum adiabatic algorithm, factorization, nonlinear sweeping

中图分类号: (Quantum information)

03.67.-a

75.10.Jm (Quantized spin models, including quantum spin frustration)

曹兴鑫, 庄军, 宁西京, 张文献. Accelerating an adiabatic process by nonlinear sweeping[J]. 中国物理B, 2013, 22(9): 90310-090310.

Cao Xing-Xin (曹兴鑫), Zhuang Jun (庄军), Ning Xi-Jing (宁西京), Zhang Wen-Xian (张文献). Accelerating an adiabatic process by nonlinear sweeping[J]. Chin. Phys. B, 2013, 22(9): 90310-090310.

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Accelerating an adiabatic process by nonlinear sweeping

Accelerating an adiabatic process by nonlinear sweeping

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