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Undoing the effect of loss on quantum entanglement

Abstract

Entanglement distillation, the purpose of which is to probabilistically increase the strength and purity of quantum entanglement, is a primary element of many quantum communication and computation protocols. It is particularly necessary in quantum repeaters in order to counter the degradation of entanglement that inevitably occurs due to losses in communication lines. Here, we distil the Einstein–Podolsky–Rosen state of light, the workhorse of continuous-variable entanglement, using noiseless amplification. The advantage of our technique is that it permits recovering a macroscopic level of entanglement, however low the initial entanglement or however high the loss may be. Experimentally, we recover the original entanglement level after one of the Einstein–Podolsky–Rosen modes has experienced a loss factor of 20. The level of entanglement in our distilled state is higher than that achievable by direct transmission of any state through a similar loss channel. This is a key step towards realizing practical continuous-variable quantum communication protocols.

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Figure 1: Experimental set-up.
Figure 2: Experimental results.

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References

  1. Nielsen, M. & Chuang, I. Quantum Computation and Quantum Information (Cambridge Univ. Press, 2000).

    MATH  Google Scholar 

  2. Bennett, C. H. et al. Purification of noisy entanglement and faithful teleportation via noisy channels. Phys. Rev. Lett. 76, 722–725 (1996).

    Article  ADS  Google Scholar 

  3. Braunstein, S. L. & van Loock, P. Quantum information with continuous variables. Rev. Mod. Phys. 77, 513–577 (2005).

    Article  ADS  MathSciNet  Google Scholar 

  4. Reid, M. D. Demonstration of the Einstein–Podolsky–Rosen paradox using nondegenerate parametric amplification. Phys. Rev. A 40, 913–923 (1989).

    Article  ADS  Google Scholar 

  5. Weedbrook, C. et al. Gaussian quantum information. Rev. Mod. Phys. 84, 621–669 (2012).

    Article  ADS  Google Scholar 

  6. Ralph, T. C. & Lund, A. P. Nondeterministic noiseless linear amplifcation of quantum systems. AIP Conf. Proc. 1110, 155–160 (2009).

    Article  ADS  Google Scholar 

  7. Takahashi, H. et al. Entanglement distillation from Gaussian input states. Nature Photon. 4, 178–181 (2010).

    Article  ADS  Google Scholar 

  8. Kurochkin, Y., Prasad, A. S. & Lvovsky, A. I. Distillation of the two-mode squeezed state. Phys. Rev. Lett. 112, 070402 (2014).

    Article  ADS  Google Scholar 

  9. Bartley, T. J. & Walmsley, I. A. Directly comparing entanglement-enhancing non-Gaussian operations. New J. Phys. 17, 023038 (2015).

    Article  ADS  Google Scholar 

  10. Chrzanowski, H. M. et al. Measurement-based noiseless linear amplification for quantum communication. Nature Photon. 8, 333–338 (2014).

    Article  ADS  Google Scholar 

  11. Andersen, U. L., Neergaard-Nielsen, J. S., van Loock, P. & Furusawa, A. Hybrid discrete- and continuous-variable quantum information. Nature Phys. 11, 713–719 (2015).

    Article  ADS  Google Scholar 

  12. Xiang, G. Y., Ralph, T. C., Lund, A. P., Walk, N. & Pryde, G. J. Heralded noiseless linear amplification and distillation of entanglement. Nature Photon. 4, 316–319 (2010).

    Article  Google Scholar 

  13. Ferreyrol, F. et al. Implementation of a nondeterministic optical noiseless amplifier. Phys. Rev. Lett. 104, 123603 (2010).

    Article  ADS  Google Scholar 

  14. Zavatta, A., Fiurasek, J. & Bellini, M. A high-fidelity noiseless amplifier for quantum light states. Nature Photon. 5, 52–60 (2010).

    Article  ADS  Google Scholar 

  15. Kosis, S., Xiang, G. Y., Ralph, T. C. & Pryde, G. J. Heralded noiseless amplification of a photon polarization qubit. Nature Phys. 9, 23–28 (2013).

    Article  ADS  Google Scholar 

  16. Pegg, D., Phillips, L. & Barnett, S. Optical state truncation by projection synthesis. Phys. Rev. Lett. 81, 1604–1606 (1998).

    Article  ADS  Google Scholar 

  17. Babichev, S. A., Ries, J. & Lvovsky, A. I. Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon. Europhys. Lett. 64, 1–7 (2003).

    Article  ADS  Google Scholar 

  18. Lvovsky, A. I. & Mlynek, J. Quantum-optical catalysis: generating nonclassical states of light by means of linear optics. Phys. Rev. Lett. 88, 250401 (2002).

    Article  ADS  Google Scholar 

  19. Mičuda, M. et al. Noiseless loss suppression in quantum optical communication. Phys. Rev. Lett. 109, 180503 (2012).

    Article  ADS  Google Scholar 

  20. Ourjoumtsev, A., Dantan, A., Tualle-Brouri, R. & Grangier, P. Increasing entanglement between Gaussian states by coherent photon subtraction. Phys. Rev. Lett. 98, 030502 (2007).

    Article  ADS  Google Scholar 

  21. Kumar, R. et al. Versatile wideband balanced detector for quantum optical homodyne tomography. Opt. Commun. 285, 5259–5267 (2012).

    Article  ADS  Google Scholar 

  22. Huisman, S. R. et al. Instant single-photon Fock state tomography. Opt. Lett. 34, 2739–2741 (2009).

    Article  ADS  Google Scholar 

  23. Vidal, G. & Werner, R. F. Computable measure of entanglement. Phys. Rev. A 65, 032314 (2002).

    Article  ADS  Google Scholar 

  24. Pan, J. W., Gasparoni, S., Ursin, R., Weihs, G. & Zeilinger, A. Experimental entanglement purification of arbitrary unknown states. Nature 423, 417–422 (2003).

    Article  ADS  Google Scholar 

  25. Ralph, T. C. Quantum error correction of continuous-variable states against Gaussian noise. Phys. Rev. A 84, 022339 (2011).

    Article  ADS  Google Scholar 

  26. Eisert, J., Browne, D. E., Scheel, S. & Plenio, M. B., Distillation of continuous-variable entanglement with optical means. Ann. Phys. (Leipz.) 311, 431–458 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  27. Datta, A. et al. Compact continuous-variable entanglement distillation. Phys. Rev. Lett. 108, 060502 (2012).

    Article  ADS  Google Scholar 

  28. Berry, D. W. & Lvovsky, A. I. Linear-optical processing cannot increase photon efficiency. Phys. Rev. Lett. 105, 203601 (2010).

    Article  ADS  Google Scholar 

  29. Berry, D. W. & Lvovsky, A. I. Preservation of loss in linear-optical processing. Phys. Rev. A 84, 042304 (2011).

    Article  ADS  Google Scholar 

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Acknowledgements

The authors thank G. Adesso for discussions and the Russian Quantum Center for support. A.L. is supported by the National Science and Engineering Research Council of Canada and is a fellow of the Canadian Institute for Advanced Research. T.C.R.'s research is funded by the Australian Research Council Centre of Excellence for Quantum Computation and Communication Technology (project no. CE110001027).

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Contributions

The experiment was conceived and designed by A.E.U., I.F., Y.K., T.C.R. and A.L., and performed by A.E.U., I.F., Y.K., A.A.P. and A.L. The data were analysed by A.E.U., I.F. and A.L. A.E.U., I.F., Y.K., T.C.R. and A.L. contributed to writing the paper.

Corresponding author

Correspondence to A. I. Lvovsky.

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The authors declare no competing financial interests.

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Ulanov, A., Fedorov, I., Pushkina, A. et al. Undoing the effect of loss on quantum entanglement. Nature Photon 9, 764–768 (2015). https://doi.org/10.1038/nphoton.2015.195

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