Quantum nondemolition measurements of a flux qubit coupled to a noisy detector

doi:10.1088/1674-1056/20/8/080307

中国物理B ›› 2011, Vol. 20 ›› Issue (8): 80307-080307.doi: 10.1088/1674-1056/20/8/080307

Quantum nondemolition measurements of a flux qubit coupled to a noisy detector

韦联福¹, 姜伟², 于扬³

(1)Laboratory of Quantum Opt-electronics, Southwest Jiaotong University, Chengdu 610031, China; (2)National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China; (3)National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China; Laboratory of Quantum Opt-electronics, Southwest Jiaotong University, Chengdu 610031, China

收稿日期:2011-02-27 修回日期:2011-03-31 出版日期:2011-08-15 发布日期:2011-08-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10725415) and the State Key Program for Basic Research of China (Grant No. 2006CB921801).

Quantum nondemolition measurements of a flux qubit coupled to a noisy detector

Jiang Wei(姜伟)^a), Yu Yang(于扬)^a)b)†, and Wei Lian-Fu(韦联福)^b)‡

^a National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China; ^b Laboratory of Quantum Opt-electronics, Southwest Jiaotong University, Chengdu 610031, China

Received:2011-02-27 Revised:2011-03-31 Online:2011-08-15 Published:2011-08-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10725415) and the State Key Program for Basic Research of China (Grant No. 2006CB921801).

摘要/Abstract

摘要： We theoretically study the quantum nondemolition measurements of a flux qubit coupled to a noisy superconducting quantum interference device (SQUID). The obtained analytical results indicate that the measurement probability is frequency-dependent in a short time scale and has a close relationship with the measurement-induced dephasing. Furthermore, when the detuning between the driven and bare resonator equals the coupling strength, we can obtain the maximum measurement rate that is determined by the character of the noise in the SQUID. Finally, we analysed the mixed effect caused by coupling between the non-diagonal term and the external variable. It is found that the initial information of the qubit is destroyed due to quantum tunneling between the qubit states.

关键词: Josephson device, quantum nondemolition measurements, quantum noise

Abstract: We theoretically study the quantum nondemolition measurements of a flux qubit coupled to a noisy superconducting quantum interference device (SQUID). The obtained analytical results indicate that the measurement probability is frequency-dependent in a short time scale and has a close relationship with the measurement-induced dephasing. Furthermore, when the detuning between the driven and bare resonator equals the coupling strength, we can obtain the maximum measurement rate that is determined by the character of the noise in the SQUID. Finally, we analysed the mixed effect caused by coupling between the non-diagonal term and the external variable. It is found that the initial information of the qubit is destroyed due to quantum tunneling between the qubit states.

Key words: Josephson device, quantum nondemolition measurements, quantum noise

中图分类号: (Quantum computation architectures and implementations)

03.67.Lx

03.65.Yz (Decoherence; open systems; quantum statistical methods) 85.25.Cp (Josephson devices) 85.25.Dq (Superconducting quantum interference devices (SQUIDs))

姜伟, 于扬, 韦联福. Quantum nondemolition measurements of a flux qubit coupled to a noisy detector[J]. 中国物理B, 2011, 20(8): 80307-080307.

Jiang Wei(姜伟), Yu Yang(于扬), and Wei Lian-Fu(韦联福) . Quantum nondemolition measurements of a flux qubit coupled to a noisy detector[J]. Chin. Phys. B, 2011, 20(8): 80307-080307.

参考文献 26

[1]	Walls D F and Milburn G J 1994 Quantum Optics (Berlin: Springer-Verlag)
[2]	Caves C M, Thorne K S, Drever R W P, Sandberg V D and Zimmermann M 1980 Rev. Mod. Phys. 52 341
[3]	Milburn G J and Walls D F 1980 Phys. Rev. A 28 2065
[4]	Imoto N, Haus H A and Yamamoto Y 1985 Phys. Rev. A 32 2287
[5]	Bachor H A, Levenson M D, Walls D F, Perlmutter S H and Shelby R M 1988 Phys. Rev. A 38 180
[6]	Larson J and Abdel-Aty M 2009 Phys. Rev. A 80 053609
[7]	Brune M, Haroche S and Raimond J M 1988 Phys. Rev. A 45 5139
[8]	Boissonneault M, Gambetta J M and Blais A 2009 Phys. Rev. A 79 013819
[9]	Shi Z G, Chen X W, Zhu X X and Song K H 2009 Chin. Phys. B 18 910
[10]	Lupascu A, Saito S, Picot T, De Groot P C, Harmans C J P M and Mooij J E 2007 Nat. Phys. 3 119
[11]	Bocko M F and Onofrio R 1996 Rev. Mod. Phys. 68 755
[12]	Makhlin Y, Schon G and Shnirman A 2000 Phys. Rev. Lett. 85 4578
[13]	Ji Y H, Lai H F, Cai S H and Wang Z S 2010 Chin. Phys. B 19 030310
[14]	Clerk A A, Girvin S M and Stone A D 2003 Phys. Rev. B 67 165324
[15]	Averin D V arXiv: cond-mat/0004364v1
[16]	Viola L, Onofrio R and Calarco T 1997 Phys. Rev. A 229 23
[17]	Chirolli L and Burkard G 2009 Phys. Rev. B 80 184509
[18]	Clerk A A, Devoret M H, Girvin S M, Marquardt F and Schoelkopf R J 2010 Rev. Mod. Phys. 82 1155
[19]	Ashhab S, You J Q and Nori F 2009 New J. Phys. 11 083017
[20]	Gambetta J, Blais A, Schuster D I, Wallraff A, Frunzio L, Majer J, Devoret M H, Girvin S M and Schoelkopf R J 2006 Phys. Rev. A 74 042318
[21]	Gambetta J, Blais A, Boissonneault M, Houck A A, Schuster D I and Girvin S M 2008 Phys. Rev. A 77 012112
[22]	Blais A, Huang R S, Wallraff A, Girvin S M and Schoelkopf R J 2004 Phys. Rev. A 69 062320
[23]	Marquardt F, Chen J P, Clerk A A and Girvin S M 2007 Phys. Rev. Lett. 99 093902
[24]	Wang Y D, Li Y, Xue F, Bruder C and Semba K 2009 Phys. Rev. B 80 144508
[25]	Rocheleau T, Ndukum T, Macklin C, Hertzberg J B, Clerk A A and Schwab K C 2010 Nature 463 72
[26]	Gigan S, Bohm H R, Paternostro M, Blaser F, Langer G, Hertzberg J B, Schwab K C, Bauerle D, Aspelmeyer M and Zeilinger A 2006 Nature 444 67

Quantum nondemolition measurements of a flux qubit coupled to a noisy detector

Quantum nondemolition measurements of a flux qubit coupled to a noisy detector

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 7

Metrics

本文评价

推荐阅读 0

[1]	Zhihang Xu(许智航), Yuzhen Wei(魏玉震), Cong Jiang(江聪), and Min Jiang(姜敏). Deterministic remote state preparation of arbitrary three-qubit state through noisy cluster-GHZ channel[J]. 中国物理B, 2022, 31(4): 40304-040304.
[2]	丛山桦, 王轶文, 孙国柱, 陈健, 于扬, 吴培亨. Macroscopic resonant tunneling in an rf-SQUID flux qubit[J]. 中国物理B, 2011, 20(5): 50316-050316.
[3]	潘长宁, 李飞, 方见树, 方卯发. Entanglement dynamics of two-qubit systems in different quantum noises[J]. 中国物理B, 2011, 20(2): 20304-020304.
[4]	曹帅, 方卯发, 郑小娟. The effect of quantum noise on multiplayer quantum game[J]. 中国物理B, 2007, 16(4): 915-918.
[5]	陈黎梅, 曹力, 吴大进. Stochastic resonance in a gain--noise model of a single-mode laser driven by pump noise and quantum noise with cross-correlation between real and imaginary parts under direct signal modulation[J]. 中国物理B, 2007, 16(1): 123-129.
[6]	何广强, 曾贵华. A secure identification system using coherent state[J]. 中国物理B, 2006, 15(2): 371-374.
[7]	曹帅, 方卯发. The effect of quantum noise on the restricted quantum game[J]. 中国物理B, 2006, 15(1): 60-65.