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Entanglement purification for quantum communication

Nature volume 410, pages 1067–1070 (2001)Cite this article

Abstract

The distribution of entangled states between distant locations will be essential for the future large-scale realization of quantum communication schemes such as quantum cryptography1,2 and quantum teleportation3. Because of unavoidable noise in the quantum communication channel, the entanglement between two particles is more and more degraded the further they propagate. Entanglement purification4,5,6,7 is thus essential to distil highly entangled states from less entangled ones. Existing general purification protocols4,5,6 are based on the quantum controlled-NOT (CNOT) or similar quantum logic operations, which are very difficult to implement experimentally. Present realizations of CNOT gates are much too imperfect to be useful for long-distance quantum communication8. Here we present a scheme for the entanglement purification of general mixed entangled states, which achieves 50 per cent of the success probability of schemes based on the CNOT operation, but requires only simple linear optical elements. Because the perfection of such elements is very high, the local operations necessary for purification can be performed with the required precision. Our procedure is within the reach of current technology, and should significantly simplify the implementation of long-distance quantum communication.

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Figure 1: Scheme showing the principle of entanglement purification after Bennett et al.4.
Figure 2: Using a polarizing beam splitter as a polarization comparer.
Figure 3: Our purification scheme using polarizing beam splitters.

References

  1. Bennett, C. H. & Brassard, G. in Proc. IEEE Int. Conf. on Computers, Systems and Signal Processing 175–179 (IEEE, New York, 1984).

    Google Scholar 

  2. Ekert, A. Quantum cryptography based on Bell's theorem. Phys. Rev. Lett. 67, 661–663 (1991).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  3. Bennett, C. H. et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895–1898 (1993).

    Article  ADS  MathSciNet  CAS  Google Scholar 

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

    Article  ADS  CAS  Google Scholar 

  5. Deutsch, D. et al. Quantum privacy amplification and the security of quantum cryptography over noisy channels. Phys. Rev. Lett. 77, 2818–2821 (1996).

    Article  ADS  CAS  Google Scholar 

  6. Duan, L. M., Giedke, G., Cirac, J. L. & Zoller, P. Entanglement purification of gaussian continuous variable quantum states. Phys. Rev. Lett. 84, 4002–4005 (2000).

    Article  ADS  CAS  Google Scholar 

  7. Bose, S., Vedral, V. & Knight, P. L. Purification via entanglement swapping and conserved entanglement. Phys. Rev. A 60, 194–197 (1999).

    Article  ADS  CAS  Google Scholar 

  8. Briegel, H.-J., Duer, W., Cirac, J. I. & Zoller, P. Quantum repeaters: The role of imperfect local operations in quantum communication. Phys. Rev. Lett. 81, 5932–5935 (1998).

    Article  ADS  CAS  Google Scholar 

  9. Bennett, C. H. & DiVincenzo, D. P. Quantum information and computation. Nature 404, 247–255 (2000).

    Article  ADS  CAS  Google Scholar 

  10. 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).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  11. Mattle, K., Weinfurter, H., Kwiat, P. G. & Zeilinger, A. Dense coding in experimental quantum communication. Phys. Rev. Lett. 76, 4656–4659 (1996).

    Article  ADS  CAS  Google Scholar 

  12. Bouwmeester, D. et al. Experimental quantum teleportation. Nature 390, 575–579 (1997).

    Article  ADS  CAS  Google Scholar 

  13. Pan, J.-W., Bouwmeester, D., Weinfurter, H. & Zeilinger, A. Experimental entanglement swapping: Entangling photons that never interacted. Phys. Rev. Lett. 80, 3891–3894 (1998).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  14. Bouwmeester, D., Pan, J.-W., Weinfurter, H. & Zeilinger, A. High-fidelity teleportation of independent qubits. J. Mod. Opt. 47, 279–289 (2000).

    Article  ADS  MathSciNet  Google Scholar 

  15. Jennewein, T., Simon, C., Weihs, G., Weinfurter, H. & Zeilinger, A. Quantum cryptography with entangled photons. Phys. Rev. Lett. 84, 4729–4732 (2000).

    Article  ADS  CAS  Google Scholar 

  16. Naik, D. S., Peterson, C. G., White, A. G., Berglund, A. J. & Kwiat, P. G. Entangled state quantum cryptography: eavesdropping on the Ekert protocol. Phys. Rev. Lett. 84, 4733–4736 (2000).

    Article  ADS  CAS  Google Scholar 

  17. Tittel, W., Brendel, T., Zbinden, H. & Gisin, N. Quantum cryptography using entangled photons in energy-time Bell states. Phys. Rev. Lett. 84, 4737–4740 (2000).

    Article  ADS  CAS  Google Scholar 

  18. Wootters, W. K. & Zurek, W. H. A single quantum cannot be cloned. Nature 299, 802–803 (1982).

    Article  ADS  CAS  Google Scholar 

  19. Monroe, C., Meekhof, D. M., King, B. E., Itano, W. M. & Wineland, D. J. Demonstration of a fundamental quantum logic gate. Phys. Rev. Lett. 75, 4714–4717 (1995).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  20. Rauschenbeutel, A. et al. Coherent operation of a tunable quantum phase gate in cavity QED. Phys. Rev. Lett. 83, 5166–5169 (1999).

    Article  ADS  CAS  Google Scholar 

  21. Knill, E., Laflamme, R. & Milburn, G. J. A scheme for efficient quantum computation with linear optics. Nature 409, 46–52 (2001).

    Article  ADS  CAS  Google Scholar 

  22. Bouwmeester, D., Pan, J.-W., Daniell, M., Weinfurter, H. & Zeilinger, A. Observation of three-photon Greenberger-Horne-Zeilinger entanglement. Phys. Rev. Lett. 82, 1345–1349 (1999).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  23. Pan, J.-W., Bouwmeester, D., Daniell, M., Weinfurter, H. & Zeilinger, A. Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement. Nature 403, 515–519 (2000).

    Article  ADS  CAS  Google Scholar 

  24. Takeuchi, S., Yamamoto, Y. & Hogue, H. H. Development of a high-quantum-efficiency single-photon counting system. Appl. Phys. Lett. 74, 1064–1065 (1999).

    Article  ADS  Google Scholar 

  25. Sanaka, K., Kawahara, K. & Kuga, T. New high-efficiency source of photon pairs for engineering quantum entanglement. Preprint quant-ph/0012028 at 〈http://xxx.lanl.gov/ (2000).

  26. Tanzilli, S. et al. Highly efficient photon-pair source using a periodically poled lithium niobate waveguide. Preprint quant-ph/0012053 at 〈http://xxx.lanl.gov/ (2000).

  27. Pan, J.-W. & Zeilinger, A. Greenberger-Horne-Zeilinger-state analyzer. Phys. Rev. A 57, 2208–2211 (1998).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  28. Bouwmeester, D. Bit-flip-error rejection in optical quantum communication. Phys. Rev. A 63, R040301 (2001).

    Article  ADS  Google Scholar 

  29. Yamamoto, T., Koashi, M. & Imoto, N. A concentration scheme for two partially entangled photon pairs. Preprint quant-ph/0101042 at 〈http://xxx.lanl.gov/ (2001).

  30. Cerf, N. J., Adami, C. & Kwiat, P. G. Optical simulation of quantum logic. Phys. Rev. A 57, R1477–1480 (1998).

    Article  ADS  MathSciNet  CAS  Google Scholar 

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Acknowledgements

We thank L.-M. Duan, H. Ritsch, T. Tyc, L. Vaidman, P. Zoller and M. Zukowski for discussions. This work was supported by the Austrian Science Foundation FWF, the Austrian academy of sciences, and the TMR and QIPC programmes of the European Union.

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Author notes

  1. Christoph Simon

    Present address: Centre for Quantum Computation, Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK

  2. Anton Zeilinger: Correspondence and requests for materials should be addressed to A.Z.

Authors and Affiliations

  1. Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, Wien, 1090, Austria

    Jian-Wei Pan, Christoph Simon, Časlav Brukner & Anton Zeilinger

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  1. Jian-Wei Pan
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Correspondence to Anton Zeilinger.

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Pan, JW., Simon, C., Brukner, Č. et al. Entanglement purification for quantum communication. Nature 410, 1067–1070 (2001). https://doi.org/10.1038/35074041

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