CHEN Shengping, SONG Kehui, XIANG Shaohua, ZHAO Yujing. Influence from Cavity Decay on Entanglement Evolution of Three Superconducting Charge Qubits Coupled to a Cavity[J]. Chinese Journal of Electronics, 2014, 23(1): 157-162.
Citation: CHEN Shengping, SONG Kehui, XIANG Shaohua, ZHAO Yujing. Influence from Cavity Decay on Entanglement Evolution of Three Superconducting Charge Qubits Coupled to a Cavity[J]. Chinese Journal of Electronics, 2014, 23(1): 157-162.

Influence from Cavity Decay on Entanglement Evolution of Three Superconducting Charge Qubits Coupled to a Cavity

Funds:  This work is supported by the National Natural Science Foundation of China (No.11174100), Key Project of Hunan Provincial Natural Science Foundation (No.11JJ2003), and Key Science Research Foundation of Education Department of Hunan Province (No.11A096).
  • Received Date: 2011-10-01
  • Rev Recd Date: 2013-01-01
  • Publish Date: 2014-01-05
  • We investigate the entanglement dynamics of a quantum system consisting of three Superconducting charge qubits (SCQs) interacting with a single-mode cavity field. Considering the Rotating wave approximation (RWA) and the resonance condition, we give the effective Hamiltonian of the system involving cavity decay. The dynamical evolution is studied in terms of the entanglements in the different bipartite partitions of the system, as quantified by the square concurrence. With the choice of the appropriate initial states, a four-qubit W-entangled state can be obtained. We study the effect of cavity decay on various square concurrences in the system, the results show that the peak value of the square concurrence declines with the increase of cavity decay when the other parameters are fixed, but the cavity decay does not change the period of the square concurrence. We also find a natural entanglement transfer and entanglement invariant under evolution of the effective Hamiltonian.
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  • M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge, UK, pp.76-81, 2000.
    C.H. Bennett et al.,"Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels", Phys.Rev. Lett., Vol.70, No.13, pp.18951899, 1993.
    C.H. Bennett,"Quantum cryptography using any two nonorthogonal states", Phys. Rev. Lett., Vol.68, No.21, pp.3121-3124, 1992.
    C.H. Bennett,"Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states", Phys. Rev. Lett., Vol.69, No.20, pp.2881-2884, 1992.
    R.J. Schoelkopf and S.M. Girvin,"Wiring up quantum systems", Nature, Vol.451, pp.664-669, 2008.
    Y. Makhlin, G. Schon and A. Shnirman,"Quantum-state engineering with Josephson-junction devices", Rev. Mod. Phys., Vol.73, No.2, pp.357-400, 2001.
    Daniel Loss and Eugene V. Sukhorukov,"Probing entanglement and nonlocality of electrons in a double-dot via transport and noise", Phys. Rev. A., Vol.57, No.5, pp.1035-1038, 2000.
    Lev B. Ioffe, Vadim B. Geshkenbein et al.,"Environmentally decoupled sds-wave Josephson junctions for quantum computing", Nature, Vol.451, pp.679-681, 1999.
    J.E. Mooij, T.P. Orlando et al.,"Josephson persistent-current qubit", Science, Vol.285, pp.1036-1039, 1999.
    F. Plastina et al.,"Macroscopic entanglement in Josephson nanocircuits", Phys. Rev. B, Vol.64, No.11, pp.113306.1113306.4, 2001.
    F. Plastina and G. Falci,"Communicating Josephson qubits", Phys. Rev. B, Vol.37, No.22, pp.224514.1-224514.5, 2003.
    Y.J. Zhao, X.W. Mi, S.H. Xiang, F. Zhou and K.H. Song,"Influence from cavity decay on entanglement evolution of three superconducting charge qubits coupled to a cavity", Commun. Theor. Phys., Vol.55, No.5, pp.775-782, 2011.
    V. Coffman et al.,"Distributed entanglement", Phys. Rev. A, Vol.61, No.5, pp.052306.1-052306.5, 2000.
    Z.Y. Xue and Z.D. Wang,"Simple unconventional geometric scenario of one-way quantum computation with superconducting qubits inside a cavity", Phys. Rev. A, Vol.75, No.10, pp.064303.1-064303.4, 2007.
    K.H. Song et al.,"Simultaneous implementation of n SWAP gates using superconducting charge qubits coupled to a cavity", Opt. Commun., Vol.283, pp.506-508, 2010.
    Y. Makhlin et al.,"Josephson-junction qubits with controlled couplings", Nature, Vol.386, pp.1-5, 1999.
    S.L. Zhu, Z.D. Wang and P. Zanardi,"Geometric quantum computation and multiqubit entanglement", Phys. Rev. Lett., Vol.94, No.10, pp.100502.1-100502.4, 2005.
    V. Vedral et al.,"Quantifying entanglement", Phys. Rev. Lett., Vol.78, No.12, pp.2275-2279, 2000.
    W.K. Wooters,"Entanglement of formation of an arbitrary state of two qubits", Phys. Rev. Lett., Vol.80, No.10, pp.22452248, 1998.
    T.J. Osborne and F. Verstraete,"General monogamy inequality for bipartite qubit entanglement", Phys. Rev. Lett. Vol.96, No.22, pp.220503.1-220503.4, 2006.
    Y.K. Bai, M.Y. Ye and Z.D. Wang,"Entanglement monogamy and entanglement evolution in multipartite systems", Phys. Rev. A, Vol.80, No.4, pp.044301.1-044301.4, 2009.
    M. Yönac, T. Yu and J.H. Eberly,"Sudden death of entanglement of two Jaynes-Cummings atoms", J. Phys. B, Vol.39, No.15, pp.S621-S625, 2006.
    M. Yönac et al.,"Pairwise concurrence dynamics: A four-qubit model", J. Phys. B, Vol.39, No.9, pp.S45-S59, 2007.
    Song Ke-Hui,"Scheme for generating cluster states with charge qubits in a cavity", Chin. Phys. Lett., Vol.26, No.12, pp.120302.1-120302.4, 2007.
    K.H. Song, S.H. Xiang, Q. Liu and D.H. Lu,"Quantum computation and W-state generation using superconducting flux qubits coupled to a cavity without geometric and dynamical manipulation", Phys. Rev. A, Vol.75, No.3, pp.032347.1-032347.5, 2007.
    S. Chan, M.D. Reid and Z. Ficek,"Entanglement evolution of two remote and non-identical Jaynes-Cummings atoms", J. Phys. B, Vol.42, No.6, pp.1-12, 2009.
    I. Sainz and G. Björk,"Entanglement invariant for the double Jaynes-Cummings model", Phys. Rev. A, Vol.76, No.6, pp.042313.1-042313.6, 2007.
    Z.X. Man, Y.J. Xia and N.B. An,"Entanglement dynamics for the double Tavis-Cummings model", Eur. Phys. J.D., Vol.53, No.2, pp.1-12, 2009.
    M. Youssef, A.S.F. Obada and N. Metwally,"Some entanglement features of a three-atom Tavis-Cummings model: A cooperative case", J. Phys. B, Vol.43, No.9, pp.1-12, 2010.
    J.F. Cai and H.P. Liu,"Entanglement in Three-Atom Tavis Cummings Model Induced by a Thermal Field", Commun. Theor. Phys., Vol.43, No.3, pp.427-431, 2005.
    X.W. Wang and J.F. Cai,"Entanglement of three atoms induced by a coherent field", Commun. Theor. Phys., Vol.46, No.3, pp.435-439, 2006.
    C.Y. Gao, L. Ma and J.M. Liu,"Dynamic properties of the Large-Detuning cavity QED Syetem in the presence of cavity decay", Mod. Phys. Lett. B, Vol.22, No.16, pp.1-10, 2008.
    D. Vion et al.,"Manipulating the quantum state of an electrical circuit", Science, Vol.296, pp.886-889, 2002.
    Y. Yu, S. Han, X. Chu, Shih-I Chu and Z.Wang,"Coherent temporal oscillations of macroscopic quantum states in a Josephson junction", Science, Vol.296, pp.889-891, 2002.
    C.P. Yang, S.I. Chu and S. Han,"Possible realization of entanglement, logical gates, and quantum-information transfer", Phys. Rev. A, Vol.67, No.4, pp.042311.1-042311.8, 2003.
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