Abstract
We propose a scheme to implement quantum computation in decoherence-free subspace with superconducting devices inside a cavity by unconventional geometric manipulation. Universal single-qubit gates in encoded qubit can be achieved with cavity assisted interaction. A measurement-based two-qubit Controlled-Not gate is produced with parity measurements assisted by an auxiliary superconducting device and followed by prescribed single-qubit gates. The measurement of currents on two parallel devices can realize a projective measurement, which is equivalent to the parity measurement on the involved devices.
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J.Q. You, F. Nori, Phys. Today 58, 42 (2005); Y. Makhlin, G. Schön, A. Shnirman, Rev. Mod. Phys. 73, 357 (2001)
A. Wallraff, D.I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S.M. Girvin, R.J. Schoelkopf, Nature 431, 162 (2004)
L.-M. Duan, G.C. Guo, Phys. Rev. Lett. 79, 1953 (1997); P. Zanardi, M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997); D.A. Lidar, I.L. Chuang, K.B. Whaley, Phys. Rev. Lett. 81, 2594 (1998)
S.-L. Zhu, P. Zanardi, Phys. Rev. A 72, 020301(R) (2005)
L.-A. Wu, P. Zanardi, D.A. Lidar, Phys. Rev. Lett. 95, 130501 (2005); X.D. Zhang, Q.H. Zhang, Z.D. Wang, Phys. Rev. A 74, 034302 (2006)
L.-X. Cen, Z.D. Wang, S.J. Wang, Phys. Rev. A 74, 032321 (2006)
A. Carollo, M. França Santos, V. Vedral, Phys. Rev. Lett. 96, 020403 (2006); Z.-Q. Yin, F.-L. Li, P. Peng, Phys. Rev. A 76, 062311 (2007)
D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W.M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, D.J. Wineland, Nature 422, 412 (2003)
S.-L. Zhu, Z.D. Wang, Phys. Rev. Lett. 91, 187902 (2003); J. Du, P. Zou, Z.D. Wang, Phys. Rev. A 74, 020302 (2006)
S.B. Zheng, Phys. Rev. A 70, 052320 (2004); S.B. Zheng, Phys. Rev. A 74, 032322 (2006)
In order to avoid confusion, we use “qubit” to denote the encoded logical qubit, while “device” for the superconducting charge qubit schemeticed in Figure [SEE TEXT] through out this paper.
O. Zilberberg, B. Braunecker, D. Loss, Phys. Rev. A 77, 012327 (2008)
Z.-Y. Xue, Z.D. Wang, S.-L. Zhu, Phys. Rev. A 77, 024301 (2008)
S.-L. Zhu, Z.D. Wang, P. Zanardi, Phys. Rev. Lett. 94, 100502 (2005); Z.-Y. Xue, Z.D. Wang, Phys. Rev. A 75, 064303 (2007)
A. Sørensen, K. Mølmer, Phys. Rev. A 62, 022311 (2000)
S.-B. Zheng, G.-C. Guo, Phys. Rev. Lett. 85, 2392 (2000); S.-B. Zheng, Phys. Rev. A 66, 060303(R) (2002)
S. Osnaghi, P. Bertet, A. Auffeves, P. Maioli, M. Brune, J.M. Raimond, S. Haroche, Phys. Rev. Lett. 87, 037902 (2001)
D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, M.H. Devoret, Science 296, 886 (2002)
J.Q. You, J.S. Tsai, F. Nori, Phys. Rev. Lett. 89, 197902 (2002); J.Q. You, J.S. Tsai, F. Nori, Phys. Rev. B 68, 024510 (2003)
X.-B. Wang, J.Q. You, F. Nori, Phys. Rev. A 77, 062339 (2008)
S.-B. Zheng, Phys. Rev. Lett. 95, 080502 (2005)
C.-Y. Chen et al., Phys. Rev. A 73, 032344 (2006); C.-Y. Chen et al., Phys. Rev. A 74, 032328 (2006)
Z.-G. Shi, X.-W. Chen, K.-H. Song, J. Phys. B: At. Mol. Opt. Phys. 42, 035504 (2009)
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Xue, ZY., Zhu, S. & Wang, Z. Quantum computation in a decoherence-free subspace with superconducting devices. Eur. Phys. J. D 55, 223–228 (2009). https://doi.org/10.1140/epjd/e2009-00224-4
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DOI: https://doi.org/10.1140/epjd/e2009-00224-4