Quantum entanglement and control in a capacitively coupled charge qubit circuit

doi:10.1088/1674-1056/19/1/010315

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10315-010315.doi: 10.1088/1674-1056/19/1/010315

Quantum entanglement and control in a capacitively coupled charge qubit circuit

梁宝龙¹, 孟祥国¹, 苏杰¹, 王继锁²

(1)School of Physics Science and Information Engineering, Liaocheng University, Liaocheng 252059, China; (2)School of Physics Science and Information Engineering, Liaocheng University, Liaocheng 252059, China;College of Physics and Engineering, Qufu Normal University, Qufu 273165, China

收稿日期:2009-02-13 修回日期:2009-04-11 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A23), and Project of Shandong Province Higher Educational Science and Technology Program (Grant No.~J09LA07).

Quantum entanglement and control in a capacitively coupled charge qubit circuit

Liang Bao-Long(梁宝龙)^a)†, Wang Ji-Suo(王继锁)^a)b), Meng Xiang-Guo(孟祥国)^a), and Su Jie(苏杰)^a)

^a School of Physics Science and Information Engineering, Liaocheng University, Liaocheng 252059, China; ^b College of Physics and Engineering, Qufu Normal University, Qufu 273165, China

Received:2009-02-13 Revised:2009-04-11 Online:2010-01-15 Published:2010-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A23), and Project of Shandong Province Higher Educational Science and Technology Program (Grant No.~J09LA07).

摘要/Abstract

摘要： The macroscopic quantum entanglement in capacitively coupled SQUID (superconducting quantum interference device)-based charge qubits is investigated theoretically. The entanglement characteristic is discussed by employing the quantum Rabi oscillations and the concurrence. An interesting conclusion is obtained, i.e., the magnetic fluxes Ф_x1 and Ф_x2 through the superconducting loops can adjust the entanglement degree between the qubits.

Abstract: The macroscopic quantum entanglement in capacitively coupled SQUID (superconducting quantum interference device)-based charge qubits is investigated theoretically. The entanglement characteristic is discussed by employing the quantum Rabi oscillations and the concurrence. An interesting conclusion is obtained, i.e., the magnetic fluxes $\varPhi_{x1}$ and $\varPhi_{x2}$ through the superconducting loops can adjust the entanglement degree between the qubits.

Key words: magnetic flux, Josephson junction, charge qubit, entanglement

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

03.67.Lx

03.65.Ud (Entanglement and quantum nonlocality) 03.67.Mn (Entanglement measures, witnesses, and other characterizations) 85.25.Cp (Josephson devices) 85.25.Dq (Superconducting quantum interference devices (SQUIDs))

梁宝龙, 王继锁, 孟祥国, 苏杰. Quantum entanglement and control in a capacitively coupled charge qubit circuit[J]. 中国物理B, 2010, 19(1): 10315-010315.

Liang Bao-Long(梁宝龙), Wang Ji-Suo(王继锁), Meng Xiang-Guo(孟祥国), and Su Jie(苏杰). Quantum entanglement and control in a capacitively coupled charge qubit circuit[J]. Chin. Phys. B, 2010, 19(1): 10315-010315.

参考文献 22

[1]	Orlando T P, Mooij J E, Tian L, van der Wal C H, Levitov L S, Lloyd S and Mazo J J 1999 Phys. Rev. B 60 15398
[2]	Makhlin Y, Sch?n G and Shnirman A 1999 Nature 398 305
[3]	Vandersypen L M K, Steffen M, Breyta G, Yannoni C S, Sherwood M H and Chuang I L 2001 Nature 414 883
[4]	Gulde S, Riebe M, Lancaster G P T, Becher C, Eschner J, H?% fner H, Schmidt-Kaler F, Chuang I L and Blatt R 2003 Nature 421 48
[5]	Turchette Q A, Hood C J, Lange W, Mabuchi H and Kimble H J 1995 Phys. Rev. Lett. 75 4710
[6]	Di Vincenzo D P 1995 Science 269 225
[7]	Lloyd S 1994 Science 263 695[ Landauer R 1988 Nature 335 779
[8]	Vourdas A 1994 Phys. Rev. B 49 12040[Vourdas A 1996 J. Mod. Opt. 43 2105[ Liang B L, Wang J S and Fan H Y 2008 Chin. Phys. B 17 0697[ Liang B L and Wang J S 2007 Chin. Phys. 16 163097
[9]	Makhlin Y, Sch?n G and Shnirman A 2001 Rev. Mod. Phys. 73 357
[10]	Nakamura Y, Pashkin Y A and Tsai J S 1999 Nature 398 786
[11]	Deppe F, Mariantoni M, Menzel E P, Saito S, Kakuyanagi K, Tanaka H, Meno T, Semba K, Takayanagi H and Gross R 2007 Phys. Rev. B 76 214503
[12]	van der Ploeg S H W, Izmalkov A, van den Brink A M, Hü% bner U, Grajcar M, Il'ichev E, Meyer H G and Zagoskin A M 2007 % Phys. Rev. Lett. 98 057004
[13]	Bouchiat V, Vion D, Joyez P, Esteve D and Devoret M H 1999 J. Supercond. 12 789
[14]	Shirman A, Sch?n G and Hermon Z 1997 Phys. Rev. Lett. 79 2371
[15]	Berkley A J, Xu H, Gubrud M A, Ramos R C, Strauch F W, Johnson P R, Anderson J R, Dragt A J, Lobb C J and Wellstood F C 2003 Science 300 1548
[16]	Wei L F, Liu Y X and Nori F 2006 Phys. Rev. Lett. 96 246803
[17]	Feynman R P, Leighton R B and Sands M 1965 The Feynman Lectures on Physics (Addison-Wesley) Vol 3
[18]	Dirac P A M 1958 The Principle of Quantum Mechanics (Oxford: Oxford University Press) Vol 4
[19]	You J Q, Lam C H and Zheng H Z 2001 Phys. Rev. B 63 180501
[20]	Tinkham M 1996 Introduction to Superconductivity (New York: McGraw-Hill)
[21]	Wootters W K 1998 Phys. Rev. Lett. 80 2245
[22]	Kim M D and Cho S Y 2007 Phys. Rev. B 75 134514

Quantum entanglement and control in a capacitively coupled charge qubit circuit

Quantum entanglement and control in a capacitively coupled charge qubit circuit

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