A quantum repeater based on decoherence free subspaces

Quantum Information and Computation

Volumn 8, Issue 5, 2008, Pages 0468-0488

  Dorner, Uwe ^a   Klein, Alexander ^a   Jaksch, Dieter ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Decoherence free subspace; Noise in quantum systems; Quantum communication; Quantum networks; Quantum repeater

Indexed keywords

QUANTUM ENTANGLEMENT; QUBITS;

DECOHERENCE; DECOHERENCE FREE SUBSPACE; ENTANGLEMENT SWAPPING; QUANTUM GATES; QUANTUM NETWORK; QUANTUM REPEATERS; QUANTUM SYSTEM; WAITING TIME;

QUANTUM COMMUNICATION;

EID: 65549152720     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (35)

1. N. Gisin, G. Ribordy,W. Tittel, and H. Zbinden (2002), Quantum cryptography, Rev.Mod. Phys., 74, p. 145.
2. A. V. Sergienko, ed. (2006), Quantum Communications and Cryptography, Taylor and Francis (New York).
3. H.-J. Briegel, W. D̈ur, J. I. Cirac, and P. Zoller (1998), Quantum repeaters: The role of imperfect local operations in quantum communication, Phys. Rev. Lett., 81, p. 5932.
4. L.-M. Duan, M. D. Lukin, J. I. Cirac, and P. Zoller (2001), Long-distance quantum communication with atomic ensembles and linear optics, Nature, 414, p. 413.
5. C. H. Bennett, G. Brassard, C. Cr'epeau, R. Jozsa, A. Peres, and W. K. Wootters (1993), Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels, Phys. Rev. Lett., 70, p. 1895.
6. M. Zukowski, A. Zeilinger, M. A. Horne, and A. K. Ekert (1993), "Event-ready-detectors" Bell experiment via entanglement swapping, Phys. Rev. Lett., 71, p. 4287.
7. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, andW. K. Wootters (1996), Purification of noisy entanglement and faithful teleportation via noisy channels, Phys. Rev. Lett., 76, p. 722.
8. D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera (1996), Quantum privacy amplification and the security of quantum cryptography over noisy channels, Phys. Rev. Lett., 77, p. 2818.
9. W. D̈ur, H.-J. Briegel, J. I. Cirac, and P. Zoller (1999), Quantum repeaters based on entanglement purification, Phys. Rev. A, 59, p. 169.
10. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters (1996), Mixed-state entanglement and quantum error correction, Phys. Rev. A, 54, p. 3824.
11. L. Hartmann, B. Kraus, H.-J. Briegel, and W. D̈ur (2007), Role of memory errors in quantum repeaters, Phys. Rev. A, 75, p. 032310.
12. O. A. Collins, S. D. Jenkins, A. Kuzmich, and T. A. B. Kennedy (2007), Multiplexed memoryinsensitive quantum repeaters, Phys. Rev. Lett., 98, p. 060502.
13. A. Klein, U. Dorner, C. Moura Alves, and D. Jaksch (2006), Robust implementations of quantum repeaters, Phys. Rev. A, 73, p. 012332.
14. P. Zanardi and M. Rasetti (1997), Noiseless quantum codes, Phys. Rev. Lett., 79, p. 3306.
15. L.-M. Duan and G.-C. Guo (1998), Reducing decoherence in quantum-computer memory with all quantum bits coupling to the same environment, Phys. Rev. A, 57, p. 737.
16. D. A. Lidar, I. L. Chuang, and K. B. Whaley (1998), Decoherence-free subspaces for quantum computation, Phys. Rev. Lett., 81, p. 2594.
17. D. Bacon, J. Kempe, D. A. Lidar, and K. B. Whaley (2000), Universal fault-tolerant quantum computation on decoherence-free subspaces, Phys. Rev. Lett., 85, p. 1758.
18. D. Kielpinski, V. Meyer, M. A. Rowe, C. A. Sackett, W. M. Itano, C. Monroe, and D. J. Wineland (2001), A decoherence-free quantum memory using trapped ions, Science, 291, p. 1013.
19. C. F. Roos, G. P. T. Lancaster,M. Riebe, H. Ḧaffner, W. Ḧansel, S. Gulde, C. Becher, J. Eschner, F. Schmidt-Kaler, and R. Blatt (2004), Bell states of atoms with ultralong lifetimes and their tomographic state analysis, Phys. Rev. Lett., 92, p. 220402.
20. C. F. Roos, M. Chwalla, K. Kim, M. Riebe, and R. Blatt (2006), Designer atoms for quantum metrology, Nature, 443, p. 316.
21. C. Langer, R. Ozeri, J. D. Jost, J. Chiaverini, B. DeMarco, A. Ben-Kish, R. B. Blakestad, J. Britton, D. B. Hume,W. M. Itano, D. Leibfried, R. Reichle, T. Rosenband, T. Schaetz, P. O. Schmidt, and D. J. Wineland (2005), Long-lived qubit memory using atomic ions, Phys. Rev. Lett., 95, p. 060502.
22. E. M. Fortunato, L. Viola, J. Hodges, G. Teklemariam, and D. G. Cory (2002), Implementation of universal control on a decoherence-free qubit , New J. Phys., 4, p. 5.
23. J. E. Ollerenshaw, D. A. Lidar, and L. E. Kay (2003), Magnetic resonance realization of decoherence-free quantum computation, Phys. Rev. Lett., 91, p. 217904.
24. L. Viola, E. M. Fortunato, M. A. Pravia, E. Knill, R. Laflamme, and D. G. Cory (2001), Experimental realization of noiseless subsystems for quantum information processing, Science, 293, p. 2059.
25. P. G. Kwiat, A. J. Berglund, J. B. Altepeter, and A. G. White (2000), Experimental verification of decoherence-free subspaces, Science, 290, p. 498.
26. M. Mohseni, J. S. Lundeen, K. J. Resch, and A. M. Steinberg (2003), Experimental application of decoherence-free subspaces in an optical quantum-computing algorithm, Phys. Rev. Lett., 91, p. 187903.
27. M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter (2004), Decoherence-free quantum information processing with four-photon entangled states, Phys. Rev. Lett., 92, p. 107901.
28. S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede (2005), Analysis of dephasing mechanisms in a standing-wave dipole trap, Phys. Rev. A, 72, p. 023406.
29. J. I. Cirac and P. Zoller (2004), New frontiers in quantum information with atoms and ions, Phys. Today, 57, p. 38.
30. D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller (1999), Entanglement of atoms via cold controlled collisions, Phys. Rev. Lett., 82, pp. 1975-1978.
31. O. Mandel, M. Greiner, A. Widera, T. Tom, T. W. Ḧansch, and I. Bloch (2003), Controlled collisions for multi-particle entanglement of optically trapped atoms, Nature, 425, p. 937.
32. M. Riebe, K. Kim, P. Schindler, T. Monz, P. O. Schmidt, T. K. K̈orber, H. H. W. Ḧansel, C. F. Roos, and R. Blatt (2006), Process tomography of ion trap quantum gates, Phys. Rev. Lett., 97, p. 220407.
33. G. Burkard (2004), Theory of solid state quantum information processing, cond-mat/0409626v2.
34. S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, and D. Meschede (2003), Coherence properties and quantum state transportation in an optical conveyor belt , Phys. Rev. Lett., 91, p. 213002.
35. M. A. Nielsen and I. L. Chuang (2000), Quantum Computation and Quantum Information, Cambridge University Press (Cambridge).