Structure formation of entanglement entropy in a system of two superconducting qubits coupled with an LC-resonator

doi:10.1088/1674-1056/20/8/080304

中国物理B ›› 2011, Vol. 20 ›› Issue (8): 80304-080304.doi: 10.1088/1674-1056/20/8/080304

Structure formation of entanglement entropy in a system of two superconducting qubits coupled with an LC-resonator

葛国勤, 覃翠, 尹淼, 黄勇华

School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2011-01-25 修回日期:2011-03-03 出版日期:2011-08-15 发布日期:2011-08-15
基金资助:
Project supported by the China “State 973 Project” (Grant No. 2006CB921606), the Natural Science Foundation of Hubei Province of China, and the Innovation Fund of Huazhong University of Science and Technology (2010).

Structure formation of entanglement entropy in a system of two superconducting qubits coupled with an LC-resonator

Ge Guo-Qin(葛国勤)^†, Qin Cui(覃翠)^‡, Yin Miao(尹淼), and Huang Yong-Hua(黄勇华)

School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2011-01-25 Revised:2011-03-03 Online:2011-08-15 Published:2011-08-15
Supported by:
Project supported by the China “State 973 Project” (Grant No. 2006CB921606), the Natural Science Foundation of Hubei Province of China, and the Innovation Fund of Huazhong University of Science and Technology (2010).

摘要/Abstract

摘要： This paper investigates theoretically the evolutions of the entanglement entropy of a system of two coupled-charge-qubits interacting with an LC-resonator. It is found that when the initial states of the two qubits are prepared in a given superposition excited state, the evolution of the von Neumann entropy of the system depends significantly on the coupling strength between the two Josephson charge qubits. With the variation of the coupling strength, the evolution of the entanglement entropy of the system forms some structures, especially the periodically bistable properties, which are the first discovered for such a system to our knowledge. It is found that the relative entropy entanglement of the system is also sensitive to the variation of the coupling strength between the two charge qubits, some novel 'collective oscillations' of the relative entropy are found for the system.

Abstract: This paper investigates theoretically the evolutions of the entanglement entropy of a system of two coupled-charge-qubits interacting with an LC-resonator. It is found that when the initial states of the two qubits are prepared in a given superposition excited state, the evolution of the von Neumann entropy of the system depends significantly on the coupling strength between the two Josephson charge qubits. With the variation of the coupling strength, the evolution of the entanglement entropy of the system forms some structures, especially the periodically bistable properties, which are the first discovered for such a system to our knowledge. It is found that the relative entropy entanglement of the system is also sensitive to the variation of the coupling strength between the two charge qubits, some novel 'collective oscillations' of the relative entropy are found for the system.

Key words: superconducting quantum circuits, evolutions of entanglement entropy, structure formation

中图分类号: (Quantum information)

03.67.-a

03.65.Ud (Entanglement and quantum nonlocality) 42.50.-p (Quantum optics)

葛国勤, 覃翠, 尹淼, 黄勇华. Structure formation of entanglement entropy in a system of two superconducting qubits coupled with an LC-resonator[J]. 中国物理B, 2011, 20(8): 80304-080304.

Ge Guo-Qin(葛国勤), Qin Cui(覃翠), Yin Miao(尹淼), and Huang Yong-Hua(黄勇华). Structure formation of entanglement entropy in a system of two superconducting qubits coupled with an LC-resonator[J]. Chin. Phys. B, 2011, 20(8): 80304-080304.

参考文献 33

[1]	Nakamura Y, Pashkin Yu A and Tsai J S 1999 Nature 398 786
[2]	Nakamura Y, Chen C D and Tsai J S 1997 Phys. Rev. Lett. 79 2328
[3]	Devoret M H and Martinis J M 2004 Quantum Entanglement and Information Processing, ed. Est`eve D, Raimond Jean-Mochel and Dalibard J (Amsterdam: Elsevier) pp. 443—485
[4]	Pashkin Yu A, Yamamoto T, Astafiev O, Nakamura Y, Averin D V and Tsai J S 2003 Nature 421 823
[5]	Vion D, Aassime A, Cottet A, Joyez P, Pothier H, Urbina C, Esteve D and Devoret M H 2002 Phys. Rev. Lett. 296 886
[6]	Martinis J M, Nam S, Aumentado J and Urbina C 2002 Phys. Rev. Lett. 89 117901
[7]	Chiorescu I, Nakamura Y, Harmans C J P M and Mooij J E 2003 Science 299 1869
[8]	Wu C, Fang M F, Xiao X, Li Y L and Cao S 2011 Chin. Phys. B 20 020305
[9]	Houck A A, Schuster D I, Gambetta J M, Schreier J A, Johnson B R, Chow J M, Frunzio L, Majer J, Devoret M H, Girvin S M and Schoelkopf R J 2007 Nature 449 328
[10]	Astafiev O, Inomata K, Niskanen A O, Yamamoto T, Pashkin Yu A, Nakamura Y and Tsai J S 2007 Nature 449 588
[11]	Astafiev O, Zagoskin A M, Jr Abdumalikov A A, Pashkin Yu A, Yamamoto T, Inomata K, Nakamura Y and Tsai J S 2010 Nature 327 840
[12]	Kelly W, Dutton Z, Schlafer J, Mookerji B, Ohki T A, Kline J S and Pappas D P 2010 Science 104 163601
[13]	Rebi'c S, Twamley J and Milburn G J 2009 Phys. Rev. Lett. 103 150503
[14]	Hu Y, Ge G Q, Chen S, Yang X F and Chen Y L 2010 arXiv: 1012.5404v1
[15]	Jr Abdumalikov A A, Astafiev O, Zagoskin A M, Pashkin Yu A, Nakamura Y and Tsai J S 2010 arXiv: 1004.2306v1
[16]	Joo J, Bourassa J, Blais Al and Sanders B C 2010 Phys. Rev. Lett. 105 073601
[17]	Mabuchi H and Doherty A 2002 Phys. Rev. Lett. 298 1372
[18]	Raimond J M, Brune M and Haroche S 2001 Rev. Mod. Phys. 73 565
[19]	Berman P R 1994 Cavity Quantum Electrodynamics (San Diego: Academic Press)
[20]	Ge G Q and Leung P T 2001 Chin. Phys. Lett. 18 1463
[21]	Blais A, Huang R S, Wallraff A, Girvin S M and Schoelkopf R J 2004 Phys. Rev. A 69 062320
[22]	Averin D V 1998 Solid State Commun. bf 105 659 (It is noted by eta in the paper)
[23]	Makhlin Y, Schon G and Shnirman A 2001 Rev. Mod. Phys. 73 357
[24]	Buisson O and Hekking F W J 2000 Entangled States in a Josephson Charge Qubit Couled to a Superconducting Resonator arXiv: Cond-mat/0008275
[25]	Araki H and Lieb E H 1970 Commun. Math. Phys. 18 160
[26]	Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[27]	Cai X M, Ge G Q, Yin M and He Q 2008 Commun. Theor. Phys. 49 1017
[28]	Bennett C H, DiVincenzo D P, Smolin J A and Wootters W K 1996 Phys. Rev. A 54 3824
[29]	Sillanp"a"a M A, Park J I and Simmonds R W 2007 Nature 449 438
[30]	Vedral V, Plenio M B, Rippin M A and Knight P L 1997 Phys. Rev. Lett. 78 2275
[31]	Vedral V 2002 Rev. Mod. Phys. 74 197
[32]	Wu S J, Wu Q and Zhang Y D 2001 Chin. Phys. Lett. 18 160
[33]	Rains E M 1999 Phys. Rev. A 60 197

Structure formation of entanglement entropy in a system of two superconducting qubits coupled with an LC-resonator

Structure formation of entanglement entropy in a system of two superconducting qubits coupled with an LC-resonator

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 33

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Jing Zeng(曾静), Yaju Song(宋亚菊), Jing Lu(卢竞), and Lan Zhou(周兰). Non-Markovianity of an atom in a semi-infinite rectangular waveguide[J]. 中国物理B, 2023, 32(3): 30305-030305.
[2]	Zengte Zheng(郑增特), Ziyang Chen(陈子扬), Luyu Huang(黄露雨),Xiangyu Wang(王翔宇), and Song Yu(喻松). Performance analysis of quantum key distribution using polarized coherent-states in free-space channel[J]. 中国物理B, 2023, 32(3): 30306-030306.
[3]	Gang Liu(刘刚), Yuanhang Li(李远航), Baonan Jia(贾宝楠), Yongpan Gao(高永潘), Lihong Han(韩利红), Pengfei Lu(芦鹏飞), and Haizhi Song(宋海智). A 3-5 μm broadband YBCO high-temperature superconducting photonic crystal[J]. 中国物理B, 2023, 32(3): 34213-034213.
[4]	Xi-Xi Bao(包茜茜), Gang-Feng Guo(郭刚峰), and Lei Tan(谭磊). Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain[J]. 中国物理B, 2023, 32(2): 20301-020301.
[5]	Haiqiang Ma(马海强), Yanxin Han(韩雁鑫), Tianqi Dou(窦天琦), and Pengyun Li(李鹏云). Performance of phase-matching quantum key distribution based on wavelength division multiplexing technology[J]. 中国物理B, 2023, 32(2): 20304-020304.
[6]	Wenhao Zhao(赵文浩) and Min Jiang(姜敏). Novel traveling quantum anonymous voting scheme via GHZ states[J]. 中国物理B, 2023, 32(2): 20303-020303.
[7]	Peng Xu(许鹏), Ran Zhang(张然), and Sheng-Mei Zhao(赵生妹). Realization of the iSWAP-like gate among the superconducting qutrits[J]. 中国物理B, 2023, 32(2): 20306-020306.
[8]	Yan-Ling Li(李艳玲), Yi-Bo Zeng(曾艺博), Lin Yao(姚林), and Xing Xiao(肖兴). Improving the teleportation of quantum Fisher information under non-Markovian environment[J]. 中国物理B, 2023, 32(1): 10303-010303.
[9]	Jian-Dong Zhang(张建东) and Shuai Wang(王帅). Tolerance-enhanced SU(1,1) interferometers using asymmetric gain[J]. 中国物理B, 2023, 32(1): 10306-010306.
[10]	Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳). Transformation relation between coherence and entanglement for two-qubit states[J]. 中国物理B, 2023, 32(1): 10304-010304.
[11]	Xue-Yi Guo(郭学仪), Shang-Shu Li(李尚书), Xiao Xiao(效骁), Zhong-Cheng Xiang(相忠诚), Zi-Yong Ge(葛自勇), He-Kang Li(李贺康), Peng-Tao Song(宋鹏涛), Yi Peng(彭益), Zhan Wang(王战), Kai Xu(许凯), Pan Zhang(张潘), Lei Wang(王磊), Dong-Ning Zheng(郑东宁), and Heng Fan(范桁). Variational quantum simulation of thermal statistical states on a superconducting quantum processer[J]. 中国物理B, 2023, 32(1): 10307-010307.
[12]	Ye-Qi Zhang(张业奇), Xiao-Ting Ding(丁潇婷), Jiao Sun(孙娇), and Tian-Hu Wang(王天虎). Quantum steerability of two qubits mediated by one-dimensional plasmonic waveguides[J]. 中国物理B, 2022, 31(12): 120305-120305.
[13]	Junqin Cao(曹君勤), Zhixin Chen(陈志歆), Yaxin Wang(王亚新), Tianfeng Feng(冯田峰), Zhihao Li(李志浩), Zeyu Xing(邢泽宇), Huashan Li(李华山), and Xiaoqi Zhou(周晓祺). Experimental demonstration of a fast calibration method for integrated photonic circuits with cascaded phase shifters[J]. 中国物理B, 2022, 31(11): 114204-114204.
[14]	Yan-Jun Liu(刘彦军), Mei-Ya Wang(王美亚), Zhong-Cheng Xiang(相忠诚), and Hai-Bin Wu(吴海滨). Fringe visibility and correlation in Mach-Zehnder interferometer with an asymmetric beam splitter[J]. 中国物理B, 2022, 31(11): 110305-110305.
[15]	Hai-Long Liu(刘海龙), Min-Jie Wang(王敏杰), Jia-Xin Bao(暴佳鑫), Chao Liu(刘超), Ya Li(李雅), Shu-Jing Li(李淑静), and Hai Wang(王海). Passively stabilized single-photon interferometer[J]. 中国物理B, 2022, 31(11): 110306-110306.