Quantum Information Processing

, Volume 15, Issue 8, pp 3169–3188 | Cite as

Shortcuts to adiabatic passage for generation of W states of distant atoms

Article
  • 171 Downloads

Abstract

With the help of quantum Zeno dynamics, we propose fast and noise-resistant schemes for preparing the W states in the indirectly coupled cavity systems via the inverse engineering-based Lewis–Riesenfeld invariant (IBLR). Comparing with the original adiabatic passage method, the results show that the time needed to prepare the desired state is reduced and the effects of the atomic spontaneous emission and the cavity decay on the fidelity are suppressed. Moreover, this scheme can also be generalized to generation of N-atom W states. Not only the total operation time, but also the robustness against decoherence is insensitive to the number of atoms. It proves that our scheme is useful in scalable distributed quantum information processing and contributes to the understanding of more complex systems via shortcuts to adiabatic passage based on Lewis–Riesenfeld invariants.

Keywords

Multipartite entanglement Shortcuts to adiabatic passage Quantum Zeno dynamics Coupled cavity 

References

  1. 1.
    Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information (2000)Google Scholar
  2. 2.
    Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)ADSMathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    DiVincenzo, D.P.: Quantum computation. Science 270(5234), 255–261 (1995)ADSMathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Bouwmeester, D., Pan, J.W., Mattle, K.: Experimental quantum teleportation. Nature 390(6660), 575–579 (1997)ADSCrossRefGoogle Scholar
  5. 5.
    Prevedel, R., Aspelmeyer, M., Brukner, C.: Photonic entanglement as a resource in quantum computation and quantum communication. J. Opt. Soc. Am. B 24(2), 241–248 (2007)ADSCrossRefGoogle Scholar
  6. 6.
    Ekert, A.K.: Quantum cryptography based on Bells theorem. Phys. Rev. Lett. 67(6), 661 (1991)ADSMathSciNetCrossRefMATHGoogle Scholar
  7. 7.
    Barenco, A., Deutsch, D., Ekert, A.: Conditional quantum dynamics and logic gates. Phys. Rev. Let. 74(20), 4083 (1995)ADSCrossRefGoogle Scholar
  8. 8.
    Yang, W.X., Zhan, Z.M., Li, J.H.: Efficient scheme for multipartite entanglement and quantum information processing with trapped ions. Phys. Rev. A 72(6), 062108 (2005)ADSCrossRefGoogle Scholar
  9. 9.
    Zheng, S.B., Guo, G.C.: Efficient scheme for two-atom entanglement and quantum information processing in cavity QED. Phys. Rev. Lett. 85(11), 2392 (2000)ADSCrossRefGoogle Scholar
  10. 10.
    Roos, C.F., Riebe, M., Häffner, H.: Control and measurement of three-qubit entangled states. Science 304(5676), 1478–1480 (2004)ADSCrossRefGoogle Scholar
  11. 11.
    Kim, M.D., Cho, S.Y.: Macroscopic Greenberger–Horne–Zeilinger and W states in flux qubits. Phys. Rev. B 77(10), 100508 (2008)ADSCrossRefGoogle Scholar
  12. 12.
    Helmer, F., Marquardt, F.: Measurement-based synthesis of multiqubit entangled states in superconducting cavity QED. Phys. Rev. A 79(5), 052328 (2009)ADSCrossRefGoogle Scholar
  13. 13.
    Düe, W., Vidal, G., Cirac, J.I.: Three qubits can be entangled in two inequivalent ways. Phys. Rev. A 62, 062314 (2000)ADSMathSciNetCrossRefGoogle Scholar
  14. 14.
    Cabello, A.: Bells theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states. Phys. Rev. A 65, 032108 (2002)ADSCrossRefGoogle Scholar
  15. 15.
    Zheng, S.B.: Quantum nonlocality for a three-particle nonmaximally entangled state without inequalities. Phys. Rev. A 66, 014103 (2002)ADSCrossRefGoogle Scholar
  16. 16.
    Collin, E., Ithier, G., Aassime, A.: NMR-like control of a quantum bit superconducting circuit. Phys. Rev. Lett. 93(15), 157005 (2004)ADSCrossRefGoogle Scholar
  17. 17.
    Torosov, B.T., Guérin, S., Vitanov, N.V.: High-fidelity adiabatic passage by composite sequences of chirped pulses. Phys. Rev. Lett. 106(23), 233001 (2011)ADSCrossRefGoogle Scholar
  18. 18.
    Allen, L., Eberly, J.H.: Optical resonance and two-level atoms. Courier Corporation, (2012)Google Scholar
  19. 19.
    Bergmann, K., Theuer, H., Shore, B.W.: Coherent population transfer among quantum states of atoms and molecules. Rev. Mod. Phys. 70(3), 1003 (1998)ADSCrossRefGoogle Scholar
  20. 20.
    Král, P., Thanopulos, I., Shapiro, M.: Colloquium: coherently controlled adiabatic passage. Rev. Mod. Phys. 79(1), 53 (2007)ADSCrossRefGoogle Scholar
  21. 21.
    Vitanov, N.V., Halfmann, T., Shore, B.W.: Laser-induced population transfer by adiabatic passage techniques. Annu. Rev. Phys. Chem. 52(1), 763–809 (2001)ADSCrossRefGoogle Scholar
  22. 22.
    Chen, X., Muga, J.G.: Engineering of fast population transfer in three-level systems. Phys. Rev. A 86(3), 033405 (2012)ADSCrossRefGoogle Scholar
  23. 23.
    Chen, X., Ruschhaupt, A., Schmidt, S., Campo, A.D., Guéry-Odelin, D., Muga, J.G.: Fast optimal frictionless atom cooling in harmonic traps: shortcut to adiabaticity. Phys. Rev. Lett. 104(4), 063002 (2010)ADSCrossRefGoogle Scholar
  24. 24.
    Chen, X., Torrontegui, E., Muga, J.G.: Lewis–Riesenfeld invariants and transitionless quantum driving. Phys. Rev. A 83(6), 062116 (2011)ADSCrossRefGoogle Scholar
  25. 25.
    Schaff, J.F., Capuzzi, P., Labeyrie, G., Vignolo, P.: Shortcuts to adiabaticity for trapped ultracold gases. New J. Phys. 13(31), 113017 (2011)ADSCrossRefGoogle Scholar
  26. 26.
    Kuklinski, J.R., Gaubatz, U., Hioe, F.T.: Adiabatic population transfer in a three-level system driven by delayed laser pulses. Phys. Rev. A 40(11), 6741 (1989)ADSCrossRefGoogle Scholar
  27. 27.
    Vitanov, N.V., Suominen, K.A., Shore, B.W.: Creation of coherent atomic superpositions by fractional stimulated Raman adiabatic passage. J. Phys. B 32(18), 4535 (1999)ADSCrossRefGoogle Scholar
  28. 28.
    Torrontegui, E., Ibánez, S., Chen, X.: Fast atomic transport without vibrational heating. Phys. Rev. A 83(1), 013415 (2011)ADSCrossRefGoogle Scholar
  29. 29.
    Lu, M., Xia, Y., Shen, L.T.: Shortcuts to adiabatic passage for population transfer and maximum entanglement creation between two atoms in a cavity. Phys. Rev. A 89(1), 012326 (2014)ADSCrossRefGoogle Scholar
  30. 30.
    Berry, M.V.: Transitionless quantum driving. J. Phys. A 42(36), 365303 (2009)MathSciNetCrossRefMATHGoogle Scholar
  31. 31.
    Lu, M., Xia, Y., Shen, L.T., Song, J.: Using shortcut to adiabatic passage for the ultrafast quantum state transfer in cavity QED system. Laser Phys. 24(7), 105201 (2014)ADSCrossRefGoogle Scholar
  32. 32.
    Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Efficient shortcuts to adiabatic passage for fast population transfer in multiparticle systems. Phys. Rev. A 89(12), 033856 (2014)ADSCrossRefGoogle Scholar
  33. 33.
    Chen, Y.H., Xia, Y., Chen, Q.Q., Song, J.: Shortcuts to adiabatic passage for fast generation of Greenberger–Horne–Zeilinger states by transitionless quantum driving. Sci. Rep. 5, 15616 (2015)ADSCrossRefGoogle Scholar
  34. 34.
    Zheng, S.B.: A simplified scheme for realizing Greenberger-Horne-Zeilinger states. J. Opt. B Quantum Semiclass. Opt. 1(5), 534 (1999)ADSMathSciNetCrossRefGoogle Scholar
  35. 35.
    Lü, X.Y., Si, L.G., Hao, X.Y.: Achieving multipartite entanglement of distant atoms through selective photon emission and absorption processes. Phys. Rev. A 79(5), 052330 (2009)ADSCrossRefGoogle Scholar
  36. 36.
    Yin, Z., Li, F.: Multiatom and resonant interaction scheme for quantum state transfer and logical gates between two remote cavities via an optical fiber. Phys. Rev. A 75(1), 012324 (2007)ADSCrossRefGoogle Scholar
  37. 37.
    Cirac, J.I., Zoller, P., Kimble, H.J.: Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78(16), 3221 (1997)ADSCrossRefGoogle Scholar
  38. 38.
    Van Enk, S.J., Cirac, J.I., Zoller, P.: Ideal quantum communication over noisy channels: a quantum optical implementation. Phys. Rev. Lett. 78(22), 4293 (1997)ADSCrossRefGoogle Scholar
  39. 39.
    Amniat-Talab, M., Guérin, S., Sangouard, N.: Atom-photon, atom-atom, and photon-photon entanglement preparation by fractional adiabatic passage. Phys. Rev. A 71(2), 023805 (2005)ADSCrossRefGoogle Scholar
  40. 40.
    Ye, S.Y., Zhong, Z.R., Zheng, S.B.: Deterministic generation of three-dimensional entanglement for two atoms separately trapped in two optical cavities. Phys. Rev. A 77(1), 014303 (2008)ADSCrossRefGoogle Scholar
  41. 41.
    Zhou, Y.L., Wang, Y.M., Liang, L.M.: Quantum state transfer between distant nodes of a quantum network via adiabatic passage. Phys. Rev. A 79(4), 044304 (2009)ADSCrossRefGoogle Scholar
  42. 42.
    Lewis, H.R., Riesenfeld, W.B.: An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field. J. Math. Phys. 10, 1458 (1969)ADSMathSciNetCrossRefMATHGoogle Scholar
  43. 43.
    Lohe, M.A.: Exact time dependence of solutions to the time-dependent Schr\({\ddot{o}}\)dinger equation. J. Phys. A 42(3), 035307 (2009)ADSMathSciNetCrossRefMATHGoogle Scholar
  44. 44.
    Von Neumann, J.: Mathematische Gründlagen der Quantenmechanik. Grundlehren der mathematischen Wissenschaften 38 (1932)Google Scholar
  45. 45.
    Misra, B., Sudarshan, E.C.G.: The Zenos paradox in quantum theory. J. Math. Phys. 18(4), 756–763 (1977)ADSMathSciNetCrossRefGoogle Scholar
  46. 46.
    Facchi, P., Gorini, V., Marmo, G.: Quantum Zeno dynamics. Phys. Lett. A 275(1), 12–19 (2000)ADSMathSciNetCrossRefMATHGoogle Scholar
  47. 47.
    Facchi, P., Pascazio, S., Scardicchio, A.: Zeno dynamics yields ordinary constraints. Phys. Rev. A 65(1), 012108 (2001)ADSCrossRefGoogle Scholar
  48. 48.
    Facchi, P., Pascazio, S.: Quantum zeno subspaces. Phys. Rev. Lett. 89(8), 080401 (2002)ADSMathSciNetCrossRefMATHGoogle Scholar
  49. 49.
    Facchi, P., Marmo, G., Pascazio, S.: Quantum Zeno dynamics and quantum Zeno subspaces. J. Phys. 196(1), 012017 (2009)MATHGoogle Scholar
  50. 50.
    Yang, R.C., Li, G., Zhang, T.C.: Robust atomic entanglement in two coupled cavities via virtual excitations and quantum Zeno dynamics. Quantum Inform. Process. 12(1), 493–504 (2013)ADSMathSciNetCrossRefMATHGoogle Scholar
  51. 51.
    Mücke, M., Bochmann, J., Hahn, C., Neuzner, A., Nölleke, C., Reiserer, A., Rempe, G., Ritter, S.: Generation of single photons from an atom-cavity system. Phys. Rev. A 87, 063805 (2013)ADSCrossRefGoogle Scholar
  52. 52.
    Tatjana, W., Webster, S.C., Axel, K., Gerhard, R.: Single-atom single-photon quantum interface. Science 317(5837), 488 (2007)CrossRefGoogle Scholar
  53. 53.
    Lai, Y.Z., Liang, J.Q., Mller-Kirsten, H.J.W.: Time-dependent quantum systems and the invariant Hermitian operator. Phys. Rev. A 53(5), 3691 (1996)ADSCrossRefGoogle Scholar
  54. 54.
    Spillane, S.M., Kippenberg, T.J., Vahala, K.J.: Ultrahigh-Q toroidal microresonators for cavity quantum electrodynamics. Phys. Rev. A 71(1), 013817 (2005)ADSCrossRefGoogle Scholar
  55. 55.
    Hernández-GarcÍa, C., Pérez-Hernández, J.A., Popmintchev, T., Murnane, M.M., Kapteyn, H.C., Jaron-Becker, A., Becker, A., Plaja, L.: Zeptosecond high harmonic keV X-ray waveforms driven by midinfrared laser pulses. Phys. Rev. Lett 111, 033002 (2013)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Lab of Quantum Optics, Department of PhysicsFuzhou UniversityFuzhouChina

Personalised recommendations