Abstract

In the Born-Markov approximation and two-level approximation, and using the Bloch-Redfield equation, the decoherence property of superconducting quantum circuit with a flux qubit is investigated. The influence on decoherence of the mutual inductance coupling between the circuit components is complicated. The mutual inductance coupling between different loops will decrease the decoherence time. However, the mutual inductance coupling of the same loop, in a certain interval, will increase the decoherence time. Therefore, we can control the decoherence time by changing the mutual inductance parameters such as the strength and direction of coupling.

© 2009 Chinese Optics Letters

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2006 (6)

C.-P. Yang and S. Han, Phys. Rev. A 73, 032317 (2006).

C.-P. Yang and S. Han, Phys. Rev. A 74, 044302 (2006).

E. Figueroa, F. Vewinger, J. Appel, and A. I. Lvovsky, Opt. Lett. 31, 2625 (2006).

L. Chirolli and G. Burkard, Phys. Rev. B 74, 174510 (2006).

D. P. DiVincenzo, F. Brito, and R. H. Koch, Phys. Rev. B 74, 014514 (2006).

J. H. Kim, R. P. Dhungana, and K.-S. Park, Phys. Rev. B 73, 214506 (2006).

2005 (1)

N. Aravantinos-Zafiris and E. Paspalakis, Phys. Rev. A 72, 014303 (2005).

2004 (2)

G. Burkard, R. H. Koch, and D. P. DiVincenzo, Phys. Rev. B 69, 064503 (2004).

I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature 431, 159 (2004).

2003 (2)

J. Shen, S. Xiao, and Q. Wu, Chin. Opt. Lett. 1, 183 (2003).

M. J. Storcz and F. K. Wilhelm, Phys. Rev. A 67, 042319 (2003).

2002 (2)

L. Tian, S. Lloyd, and T. P. Orlando, Phys. Rev. B 65, 144516 (2002).

Y. Yu, S. Han, X. Chu, S.-I Chu, and Z. Wang, Science 296, 889 (2002).

2000 (1)

A. Brown, W. J. Meath, and P. Tran, Phys. Rev. A 63, 013403 (2000).

1998 (1)

J. A. Jones, M. Mosca, and R. H. Hansen, Nature 393, 344 (1998).

1995 (1)

T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 75, 3788 (1995).

1987 (1)

A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).

Appel, J.

Aravantinos-Zafiris, N.

N. Aravantinos-Zafiris and E. Paspalakis, Phys. Rev. A 72, 014303 (2005).

Bertet, P.

I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature 431, 159 (2004).

Brito, F.

D. P. DiVincenzo, F. Brito, and R. H. Koch, Phys. Rev. B 74, 014514 (2006).

Brown, A.

A. Brown, W. J. Meath, and P. Tran, Phys. Rev. A 63, 013403 (2000).

Burkard, G.

L. Chirolli and G. Burkard, Phys. Rev. B 74, 174510 (2006).

G. Burkard, R. H. Koch, and D. P. DiVincenzo, Phys. Rev. B 69, 064503 (2004).

Chakravarty, S.

A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).

Chiorescu, I.

I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature 431, 159 (2004).

Chirolli, L.

L. Chirolli and G. Burkard, Phys. Rev. B 74, 174510 (2006).

Chu, S.-I

Y. Yu, S. Han, X. Chu, S.-I Chu, and Z. Wang, Science 296, 889 (2002).

Chu, X.

Y. Yu, S. Han, X. Chu, S.-I Chu, and Z. Wang, Science 296, 889 (2002).

Cirac, J. I.

T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 75, 3788 (1995).

Dhungana, R. P.

J. H. Kim, R. P. Dhungana, and K.-S. Park, Phys. Rev. B 73, 214506 (2006).

DiVincenzo, D. P.

D. P. DiVincenzo, F. Brito, and R. H. Koch, Phys. Rev. B 74, 014514 (2006).

G. Burkard, R. H. Koch, and D. P. DiVincenzo, Phys. Rev. B 69, 064503 (2004).

Dorsey, A. T.

A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).

Figueroa, E.

Fisher, M. P. A.

A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).

Gardiner, S. A.

T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 75, 3788 (1995).

Garg, A.

A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).

Han, S.

C.-P. Yang and S. Han, Phys. Rev. A 74, 044302 (2006).

C.-P. Yang and S. Han, Phys. Rev. A 73, 032317 (2006).

Y. Yu, S. Han, X. Chu, S.-I Chu, and Z. Wang, Science 296, 889 (2002).

Hansen, R. H.

J. A. Jones, M. Mosca, and R. H. Hansen, Nature 393, 344 (1998).

Harmans, C. J. P. M.

I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature 431, 159 (2004).

Jones, J. A.

J. A. Jones, M. Mosca, and R. H. Hansen, Nature 393, 344 (1998).

Kim, J. H.

J. H. Kim, R. P. Dhungana, and K.-S. Park, Phys. Rev. B 73, 214506 (2006).

Koch, R. H.

D. P. DiVincenzo, F. Brito, and R. H. Koch, Phys. Rev. B 74, 014514 (2006).

G. Burkard, R. H. Koch, and D. P. DiVincenzo, Phys. Rev. B 69, 064503 (2004).

Leggett, A. J.

A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).

Lloyd, S.

L. Tian, S. Lloyd, and T. P. Orlando, Phys. Rev. B 65, 144516 (2002).

Lvovsky, A. I.

Meath, W. J.

A. Brown, W. J. Meath, and P. Tran, Phys. Rev. A 63, 013403 (2000).

Mooij, J. E.

I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature 431, 159 (2004).

Mosca, M.

J. A. Jones, M. Mosca, and R. H. Hansen, Nature 393, 344 (1998).

Nakamura, Y.

I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature 431, 159 (2004).

Orlando, T. P.

L. Tian, S. Lloyd, and T. P. Orlando, Phys. Rev. B 65, 144516 (2002).

Park, K.-S.

J. H. Kim, R. P. Dhungana, and K.-S. Park, Phys. Rev. B 73, 214506 (2006).

Paspalakis, E.

N. Aravantinos-Zafiris and E. Paspalakis, Phys. Rev. A 72, 014303 (2005).

Pellizzari, T.

T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 75, 3788 (1995).

Semba, K.

I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature 431, 159 (2004).

Shen, J.

Storcz, M. J.

M. J. Storcz and F. K. Wilhelm, Phys. Rev. A 67, 042319 (2003).

Tian, L.

L. Tian, S. Lloyd, and T. P. Orlando, Phys. Rev. B 65, 144516 (2002).

Tran, P.

A. Brown, W. J. Meath, and P. Tran, Phys. Rev. A 63, 013403 (2000).

Vewinger, F.

Wang, Z.

Y. Yu, S. Han, X. Chu, S.-I Chu, and Z. Wang, Science 296, 889 (2002).

Wilhelm, F. K.

M. J. Storcz and F. K. Wilhelm, Phys. Rev. A 67, 042319 (2003).

Wu, Q.

Xiao, S.

Yang, C.-P.

C.-P. Yang and S. Han, Phys. Rev. A 74, 044302 (2006).

C.-P. Yang and S. Han, Phys. Rev. A 73, 032317 (2006).

Yu, Y.

Y. Yu, S. Han, X. Chu, S.-I Chu, and Z. Wang, Science 296, 889 (2002).

Zoller, P.

T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 75, 3788 (1995).

Zwerger, W.

A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).

Chin. Opt. Lett. (1)

Nature (2)

I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature 431, 159 (2004).

J. A. Jones, M. Mosca, and R. H. Hansen, Nature 393, 344 (1998).

Opt. Lett. (1)

Phys. Rev. A (5)

C.-P. Yang and S. Han, Phys. Rev. A 73, 032317 (2006).

C.-P. Yang and S. Han, Phys. Rev. A 74, 044302 (2006).

N. Aravantinos-Zafiris and E. Paspalakis, Phys. Rev. A 72, 014303 (2005).

A. Brown, W. J. Meath, and P. Tran, Phys. Rev. A 63, 013403 (2000).

M. J. Storcz and F. K. Wilhelm, Phys. Rev. A 67, 042319 (2003).

Phys. Rev. B (5)

J. H. Kim, R. P. Dhungana, and K.-S. Park, Phys. Rev. B 73, 214506 (2006).

L. Chirolli and G. Burkard, Phys. Rev. B 74, 174510 (2006).

L. Tian, S. Lloyd, and T. P. Orlando, Phys. Rev. B 65, 144516 (2002).

D. P. DiVincenzo, F. Brito, and R. H. Koch, Phys. Rev. B 74, 014514 (2006).

G. Burkard, R. H. Koch, and D. P. DiVincenzo, Phys. Rev. B 69, 064503 (2004).

Phys. Rev. Lett. (1)

T. Pellizzari, S. A. Gardiner, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 75, 3788 (1995).

Rev. Mod. Phys. (1)

A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).

Science (1)

Y. Yu, S. Han, X. Chu, S.-I Chu, and Z. Wang, Science 296, 889 (2002).

Other (1)

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000) p.277.

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