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Quantum limits for cascaded nondegenerate optical parametric oscillators

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Abstract

The continuous variable multicolor entangled state of optical modes is one of the essential quantum resources for constructing quantum information networks composed of many nodes and channels. It has been well proved that the cascaded nondegenerate optical parametric oscillators (CNOPOs) are the most successful devices to produce bright entangled optical beams with different wavelengths. Here, we discuss the dependence of the possibly obtained largest-size multicolor entangled state and the entanglement degree on optical parameters of CNOPOs. Each NOPO in the cascaded system is operated above its oscillation threshold. One of two output optical beams produced by a NOPO is used for the pump light of the subsequent one, and the remained another beam serves as a submode of the multicolor entangled state. The obtainable maximal number of entangled submodes and the multicolor entanglement degree are numerically calculated under experimentally accessible conditions. The calculated results provide direct references for the design of generation systems of multicolor entangled optical beams.

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References

  1. Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935)

    Article  ADS  Google Scholar 

  2. Bell, J.S.: On the Einstein Podolsky Rosen paradox. Physics 1, 195–200 (1964)

    Google Scholar 

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

    Google Scholar 

  4. Haroche, S., Raimond, J.-M.: Exploring the Quantum. Oxford University Press, Oxford (2006)

    Book  Google Scholar 

  5. Furusawa, A., Søensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282, 706–709 (1998)

    Article  ADS  Google Scholar 

  6. Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)

    Article  ADS  Google Scholar 

  7. Honda, K., Akamatsu, D., Arikawa, M., Yokoi, Y., Akiba, K., Nagatsuka, S., Tanimura, T., Furusawa, A., Kozuma, M.: Storage and retrieval of a squeezed vacuum. Phys. Rev. Lett. 100, 093601 (2008)

    Article  ADS  Google Scholar 

  8. Appel, J., Figueroa, E., Korystov, D., Lobino, M., Lvovsky, A.I.: Quantum memory for squeezed light. Phys. Rev. Lett. 100, 093602 (2008)

    Article  ADS  Google Scholar 

  9. Jia, X., Su, X., Pan, Q., Gao, J., Xie, C., Peng, K.: Experimental demonstration of unconditional entanglement swapping for continuous variables. Phys. Rev. Lett. 93, 250503 (2004)

    Article  ADS  Google Scholar 

  10. Atature, M., Dreiser, J., Badolato, A., Hoele, A., Karrai, K., Imamoglu, A.: Quantum-dot spin-state preparation with near-unity fidelity. Science 312, 551–553 (2006)

    Article  ADS  Google Scholar 

  11. Leibfried, D., Knill, E., Seidelin, S., Britton, J., Blakestad, R.B., Chiaverini, J., Hume, D.B., Itano, W.M., Jost, J.D., Langer, C., Ozeri, R., Reichle, R., Wineland, D.J.: Creation of a six-atom ’Schrodinger cat’ state. Nature 438, 639–642 (2005). (London)

    Article  ADS  Google Scholar 

  12. Kimble, H.J.: The quantum internet. Nature 453, 1023–1030 (2008). (London)

    Article  ADS  Google Scholar 

  13. Su, X., Tan, A., Jia, X., Zhang, J., Xie, C., Peng, K.: Experimental preparation of quadripartite cluster and Greeberger–Horne–Zeilinger entangled states for continuous variables. Phys. Rev. Lett. 98, 070502 (2007)

    Article  ADS  Google Scholar 

  14. Yukawa, M., van Ukai, R., Loock, P., Furusawa, A.: Experimental generation of four-mode continuous-variables cluster states. Phys. Rev. A 78, 012301 (2008)

    Article  ADS  Google Scholar 

  15. Allevi, A., Bondani, M., Paris, M.G.A., Andreoni, A.: Demonstration of a bright and source of tripartite nonclassical light. Phys. Rev. A 78, 063801 (2008)

    Article  ADS  Google Scholar 

  16. Villar, A.S., Cruz, L.S., Cassemiro, K.N., Martinelli, M., Nussenzveig, P.: Generation of bright two-color continuous variable Entanglement. Phys. Rev. Lett. 95, 243603 (2005)

    Article  ADS  Google Scholar 

  17. Su, X., Tan, A., Jia, X., Pan, Q., Xie, C., Peng, K.: Experimental demonstration of quantum entanglement between frequency-nondegenerate optical twin beams. Opt. Lett. 31, 1133–1135 (2006)

    Article  ADS  Google Scholar 

  18. Jing, J., Feng, S., Bloomer, R., Pfister, O.: Experimental continuous-variable entanglement from a phase-difference-locked optical parametric oscillator. Phys. Rev. A 74, 041804(R) (2006)

    Article  ADS  Google Scholar 

  19. Keller, G., D’Auria, V., Treps, N., Coudreau, T., Laurat, J., Fabre, C.: Experimental demonstration of frequency-degenerate bright EPR beams with a self-phase-locked OPO. Opt. Express 16, 9351–9356 (2008)

    Article  ADS  Google Scholar 

  20. Li, Y., Guo, X., Bai, Z., Liu, C.: Generation of two-color continuous variable quantum entanglement at 0.8 and 1.5m. Appl. Phys. Lett. 97, 031107 (2010)

    Article  ADS  Google Scholar 

  21. Coelho, A.S., Barbosa, F.A.S., Cassemiro, K.N., Villar, A.S., Martinelli, M., Nussenzveig, P.: Three-color entanglement. Science 326, 823–826 (2009)

    Article  ADS  Google Scholar 

  22. Jia, X., Yan, Z., Duan, Z., Su, X., Wang, H., Xie, C., Peng, K.: Experimental realization of three-color entanglement at optical fiber communication and atomic storage wavelengths. Phys. Rev. Lett. 109, 253604 (2012)

    Article  ADS  Google Scholar 

  23. Villar, A.S., Martinelli, M., Fabre, C., Nussenzveig, P.: Direct production of tripartite pump-signal-idler entanglement in the above-threshold optical parametric oscillator. Phys. Rev. Lett. 97, 140504 (2006)

    Article  ADS  Google Scholar 

  24. Tan, A., Xie, C., Peng, K.: Bright three-color entangled state produced by cascaded optical parametric oscillators. Phys. Rev. A 85, 013819 (2012)

    Article  ADS  Google Scholar 

  25. Tan, A.: Multi-color continuous-variable entangled optical beams generated by NOPOs. Quantum Inf. Process. 12, 3275 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  26. Wang, D., Zhang, Y., Xiao, M.: Quantum limits for cascaded optical parametric amplifiers. Phys. Rev. A 87, 023834 (2013)

    Article  ADS  Google Scholar 

  27. Fabre, C., Giacobino, E., Heidmann, A., Raynaud, S.: Noise characteristics of a non-degenerate optical parametric oscillator-application to quantum noise reduction. J. Phys. (France) 50, 1209 (1989)

    Article  Google Scholar 

  28. van Loock, P., Furusawa, A.: Detecting genuine multipartite continuous-variable entanglement. Phys. Rev. A 67, 052315 (2003)

    Article  ADS  Google Scholar 

  29. Simon, R.: PeresCHorodecki separability criterion for continuous variable systems. Phys. Rev. Lett. 84, 2726 (2000)

    Article  ADS  Google Scholar 

  30. Werner, R.F., Wolf, M.M.: Bound entangled Gaussian states. Phys. Rev. Lett. 86, 3658 (2001)

    Article  ADS  Google Scholar 

  31. Mehmet, M., Ast, S., Eberle, T., Steinlecher, S., Vahlbruch, H., Schnabel, R.: Squeezed light at 1550nm with a quantum noise reduction of 12.3 dB. Optics Express 19, 25763–25772 (2011)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

W. Liu thanks K. Peng, C. Xie and X. Su for the helpful guidance. This research was supported by the Foundation for University Key Teacher by the Ministry of Education of China, Natural Science Foundation of China (Grants Nos. 11322440, 11474190 and 61121064), FOK YING TUNG Education Foundation and the Special Research Plan Project of Education Department of Shaanxi Province (Grants No. 11JK0547).

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Authors and Affiliations

  1. School of Photoelectrical Engineering, Xi’an Technological University, Xi’an, 710021, People’s Republic of China

    Wangyun Liu

  2. State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan, 030006, People’s Republic of China

    Wangyun Liu & Xiaojun Jia

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  1. Wangyun Liu
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  2. Xiaojun Jia
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Correspondence to Xiaojun Jia.

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Liu, W., Jia, X. Quantum limits for cascaded nondegenerate optical parametric oscillators. Quantum Inf Process 14, 2945–2957 (2015). https://doi.org/10.1007/s11128-015-1019-8

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  • DOI: https://doi.org/10.1007/s11128-015-1019-8

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