Abstract
We propose two schemes to generate three-qubit decoherence-free state for atoms trapped in a cavity via quantum Zeno dynamics. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity of the entangled state is investigated. Numerical results show that the schemes are robust against the cavity decay since the evolution of the system is restricted to a subspace with null-excitation cavity fields. Moreover, no measurement, post selection and auxiliary bits are needed during the whole process.
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References
Kimble, H.J.: The quantum internet. Nature 453, 1023–1030 (2008)
Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661–663 (1991)
Zheng, S.B., Guo, G.C.: Scheme for atomic-state teleportation between two bad cavities. Phys. Rev. A 73, 032329(1–5) (2006)
Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein–Podolsky–Rosen states. Phys. Rev. Lett. 69, 2881–2884 (1992)
Gottesman, D., Chuang, I.: Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations. Nature 402, 390–393 (1999)
Lidar, D.A., Chuang, I.L., Whaley, K.B.: Decoherence-free subspaces for quantum computation. Phys. Rev. Lett. 81, 2594–2597 (1998)
Knill, E., Laflamme, R., Viola, L.: Theory of quantum error correction for general noise. Phys. Rev. Lett. 84, 2525–2528 (2000)
Duan, L.M., Guo, G.C.: Optimal quantum codes for preventing collective amplitude damping. Phys. Rev. A 58, 3491–3495 (1998)
Xia, Y., Song, J., Yang, Z.B., Zheng, S.B.: Generation of four-photon polarization-entangled decoherence-free states within a network. Appl. Phys. B 99, 651–656 (2010)
Shao, X.Q., Chen, L., Zhang, S., Zhao, Y.F., Yeon, K.H.: Preparation of three- and four-qubit decoherence-free states via Zeno-like measurements. J. Phys. B 43, 135502(1–5) (2010)
Noguchi, A., Haze, S., Toyoda, K., Urabe, S.: Generation of a decoherence-free entangled state using a radio frequency dressed state. Phys. Rev. Lett. 108, 060503(1–4) (2012)
Shao, X.Q., Chen, L., Zhang, S., Zhao, Y.F., Yeon, K.H.: Deterministic generation of arbitrary multi-atom symmetric Dicke states by a combination of quantum Zeno dynamics and adiabatic passage. Europhys. Lett. 90, 50003(1–5) (2010)
Facchi, P., Marmo, G., Pascazio, S.: Quantum Zeno dynamics and quantum Zeno subspaces. J. Phys: Conf. Ser. 196, 012017 (2009)
James, D.F., Jerke, J.: Effective Hamiltonian theory and its applications in quantum information. Can. J. Phys. 85, 625–632 (2007)
Shi, Z.C., Xia, Y., Song, J., Song, H.S.: Generation of three-atom singlet state in a bimodal cavity via quantum Zeno dynamics. Quantum Inf. Process. (2012). doi: 10.1007/s11128-012-0382-y
Spillane, S.M., Kippenberg, T.J., Vahala, K.J.: Ultra-high-Q toroidal microresonators for cavity quantum electrodynamics. Phys. Rev. A 71, 013817(1–10) (2005)
Acknowledgments
The authors would like to thank Doctor Xiao-Qiang Shao for helpful discussions concerning this work. This project was supported by the National Natural Science Foundation of China under Grant Nos. 11064016 and 61068001.
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Wu, QC., Wang, Y. & Ji, X. Preparation of three-qubit decoherence-free state via quantum Zeno dynamics. Quantum Inf Process 12, 2121–2130 (2013). https://doi.org/10.1007/s11128-012-0513-5
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DOI: https://doi.org/10.1007/s11128-012-0513-5