Effects of imperfect pulses on dynamical decoupling using quantum trajectory method

doi:10.1088/1674-1056/27/12/120303

中国物理B ›› 2018, Vol. 27 ›› Issue (12): 120303-120303.doi: 10.1088/1674-1056/27/12/120303

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Effects of imperfect pulses on dynamical decoupling using quantum trajectory method

Lin-Ze He(何林泽), Man-Chao Zhang(张满超), Chun-Wang Wu(吴春旺), Yi Xie(谢艺), Wei Wu(吴伟), Ping-Xing Chen(陈平形)

1 Department of Physics, College of Science and Liberal Arts, National University of Defense Technology, Changsha 410073, China;
2 Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha 410073, China;
3 State Key Laboratory of High Performance Computing, National University of Defense Technology, Changsha 410073, China

收稿日期:2018-07-23 修回日期:2018-10-18 出版日期:2018-12-05 发布日期:2018-12-05
通讯作者: Ping-Xing Chen E-mail:pxchen@nudt.edu.cn
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2016YFA0301903), the National Natural Science Foundation of China (Grant Nos. 11174370, 11304387, 61632021, 11305262, and 61205108), and the Research Plan Project of the National University of Defense Technology (Grant No. ZK16-03-04).

Effects of imperfect pulses on dynamical decoupling using quantum trajectory method

Lin-Ze He(何林泽)^1,2,3, Man-Chao Zhang(张满超)^1,2,3, Chun-Wang Wu(吴春旺)^1,2,3, Yi Xie(谢艺)^1,2,3, Wei Wu(吴伟)^1,2,3, Ping-Xing Chen(陈平形)^1,2,3

1 Department of Physics, College of Science and Liberal Arts, National University of Defense Technology, Changsha 410073, China;
2 Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha 410073, China;
3 State Key Laboratory of High Performance Computing, National University of Defense Technology, Changsha 410073, China

Received:2018-07-23 Revised:2018-10-18 Online:2018-12-05 Published:2018-12-05
Contact: Ping-Xing Chen E-mail:pxchen@nudt.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2016YFA0301903), the National Natural Science Foundation of China (Grant Nos. 11174370, 11304387, 61632021, 11305262, and 61205108), and the Research Plan Project of the National University of Defense Technology (Grant No. ZK16-03-04).

摘要/Abstract

摘要：

The dynamical decoupling (DD) method is widely adopted to preserve coherence in different quantum systems. In the case of ideal pulses, its effects on the suppression of noise can be analytically described by the mathematical form of filter function. However, in practical experiments, the unavoidable pulse errors limit the efficiency of DD. In this paper, we study the effects of imperfect pulses on DD efficiency based on quantum trajectories. By directly generating a pseudo noise sequence correlated in time, we can explore the performance of DD with different pulse errors in the typical noise environment. It shows that, for the typical 1/f noise environment, the phase error of operational pulses severely affects the performance of noise suppression, while the detuning and intensity errors have less influence. Also, we get the thresholds of these errors for efficient DD under the given experimental conditions. Our method can be widely applied to guide practical DD experimental implementation.

关键词: pulse imperfections, dynamical decoupling

Abstract:

Key words: pulse imperfections, dynamical decoupling

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

03.67.Pp (Quantum error correction and other methods for protection against decoherence) 02.60.-x (Numerical approximation and analysis)

何林泽, 张满超, 吴春旺, 谢艺, 吴伟, 陈平形. Effects of imperfect pulses on dynamical decoupling using quantum trajectory method[J]. 中国物理B, 2018, 27(12): 120303-120303.

Lin-Ze He(何林泽), Man-Chao Zhang(张满超), Chun-Wang Wu(吴春旺), Yi Xie(谢艺), Wei Wu(吴伟), Ping-Xing Chen(陈平形). Effects of imperfect pulses on dynamical decoupling using quantum trajectory method[J]. Chin. Phys. B, 2018, 27(12): 120303-120303.

参考文献 26

[1]	Hahn E L 1950 Phys. Rev. 77 297
[2]	Viola L and Lloyd S 1998 Phys. Rev. A 58 2733 doi: 10.1103/PhysRevA.58.2733
[3]	Viola L, Knill E and Lloyd S 1999 Phys. Rev. Lett. 82 2417 doi: 10.1103/PhysRevLett.82.2417
[4]	Carr H Y and Purcell E M 1954 Phys. Rev. 94 630 doi: 10.1103/PhysRev.94.630
[5]	Meiboom S and Gill D 1958 Rev. Sci. Instrum. 29 688 doi: 10.1063/1.1716296
[6]	Gouml and Uhrig G S 2007 Phys. Rev. Lett. 98 100504 doi: 10.1103/PhysRevLett.98.100504
[7]	Wang Y, Um M, Zhang J H, An S M, Ming L, Zhang J N, Duan L M, Yum D and Kim K 2017 Nat. Photon. 11 646 doi: 10.1038/s41566-017-0007-1
[8]	Biercuk M J, Uys H, Vandevender A P, Shiga N, Itano W M and Bollinger J J 2009 Nature 458 7241
[9]	Wang D M, Qian Y, Xu J B and Yu Y H 2015 Chin. Phys. B 24 110304 doi: 10.1088/1674-1056/24/11/110304
[10]	Du J F, Rong X, Zhao N, Wang Y, Yang J H and Liu R B 2009 China Basic Science 461 7268
[11]	Saeedi K, Simmons S, Salvail J Z, Dluhy P, Riemann H, Abrosimov N V, Becker P, Pohl H J, Morton J J and Thewalt M L 2013 Science 342 6160
[12]	Sagi Y, Almog I and Davidson N 2010 Phys. Rev. Lett. 105 053201 doi: 10.1103/PhysRevLett.105.053201
[13]	Bluhm H, Foletti S, Mahalu D, Umansky V and Yacoby A 2009 Nat. Phys. 5 903 doi: 10.1038/nphys1424
[14]	Barthel C, Medford J, Marcus C M, Hanson M P and Gossard A C 2010 Phys. Rev. Lett. 105 266808 doi: 10.1103/PhysRevLett.105.266808
[15]	De L G, Wang Z H, Risté D, Dobrovitski V V and Hanson R 2010 Science 603 330
[16]	Bylander J, Gustavsson S, Yan F, Yoshihara F, Harrabi K, Fitch G, Cory D G, Nakamura Y, Tsai J S and Oliver W D 2011 Nat. Phys. 7 565 doi: 10.1038/nphys1994
[17]	Khodjasteh K and Lidar D A 2006 Phys. Rev. A 75 1004
[18]	Alvarez G A, Ajoy A, Peng X H and Suter D 2010 Phys. Rev. A 82 042306 doi: 10.1103/PhysRevA.82.042306
[19]	Wang Z H, Zhang W X, Tyryshkin A M, Lyon S A, Ager J W, Haller E E and Dobrovitski V V 2012 Phys. Rev. B 85 283
[20]	Uhrig G S and Pasini S 2010 New J. Phys. 12 311
[21]	Tyryshkin A M, Wang Z H, Zhang W X, Haller E E, Ager J W, Dobrovitski V V and Lyon S A 2010 J. Phys. B Atomic 44 154004 (arXiv: 1011.1903v2 [quant-ph])
[22]	Kabytayev C 2015 Quantum control for time-dependent noise (Atlanta: Georgia Institute of Technology)
[23]	Miller S L and Childers D G 2012 Probability and Random Processes: With Applications to Signal Processing and Communications (Academic Press) pp. 164-165
[24]	Roos C 2000 Controlling the quantum state of trapped ions (Innsbruck: University of Innsbruck)
[25]	Lutchyn R M, Cywiński L, Nave C P and Sarma S D 2008 Phys. Rev. B 78 1436
[26]	Plenio M B and Knight P L 1998 Rev. Mod. Phys. 70 101 doi: 10.1103/RevModPhys.70.101

Effects of imperfect pulses on dynamical decoupling using quantum trajectory method

Effects of imperfect pulses on dynamical decoupling using quantum trajectory method

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 26

相关文章 1

Metrics

本文评价

推荐阅读 0