Graph states for quantum secret sharing

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 4, 2008, Pages

  Markham, Damian ^a,b   Sanders, Barry C ^c  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b UNIVERSITY OF TOKYO   (Japan)

^c UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

NETWORK PROTOCOLS;

GRAPH STATES; INFORMATION PROCESSING SYSTEMS; QUANTUM CHANNELS; QUANTUM SECRET SHARING; SECRET SHARING; SIMPLE MAJORITIES;

GRAPH THEORY;

EID: 54849407835     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.042309     Document Type: Article

References (26)

1. A. Shamir, Commun. ACM CACMA2 0001-0782 10.1145/359168.359176 22, 612 (1979).
2. M. Hillery, V. Bužek, and A. Berthiaume, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.1829 59, 1829 (1999).
3. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.145 74, 145 (2002).
4. R. Cleve, D. Gottesman, and H-K. Lo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.648 83, 648 (1999).
5. T. Tyc and B. C. Sanders, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042310 65, 042310 (2002);
6. T. Tyc, D. J. Rowe, and B. C. Sanders, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/27/314 36, 7625 (2003);
7. A. M. Lance, T. Symul, W. P. Bowen, T. Tyc, B. C. Sanders, and P. K. Lam, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/304 5, 4 (2003);
8. A. M. Lance, T. Symul, W. P. Bowen, B. C. Sanders, and P. K. Lam, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.177903 92, 177903 (2004);
9. A. M. Lance, T. Symul, W. P. Bowen, B. C. Sanders, T. Tyc, T. C. Ralph, and P. K. Lam, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.033814 71, 033814 (2005).
10. M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. van den Nest, and H. J. Briegel, e-print arXiv:quant-ph/0602096.
11. R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5188 86, 5188 (2001).
12. C. H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India (IEEE, New York, 1984), p. 175.
13. A. Karlsson, M. Koashi, and N. Imoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.162 59, 162 (1999).
14. K. Chen and H-K. Lo, Quantum Inf. Comput. QICUAW 1533-7146 7, 689 (2007).
15. L. Xiao, G. L. Long, F-G. Deng, and J-W. Pan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052307 69, 052307 (2004).
16. P. Walther, K. J. Resch, T. Rudolph, E. Schenk, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature (London) NATUAS 0028-0836 10.1038/nature03347 434, 169 (2005).
17. C.-Y. Lu, O. Ghune, X.-Q. Zhang, W.-B. Gao, J. Zhang, Z. S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, Nat. Phys. ZZZZZZ 1745-2473 3, 91 (2007).
18. D. Gottesman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.042311 61, 042311 (2000).
19. M. Murao, D. Jonathan, M. B. Plenio, and V. Vedral, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.156 59, 156 (1999).
20. A. K. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.661 67, 661 (1991).
21. V. Danos and E. Kashefi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.052310 74, 052310 (2006).
22. D. Schlingemann and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.012308 65, 012308 (2001).
23. D. E. Browne, E. Kashefi, M. Mhalla, and S. Perdrix, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/8/250 9, 250 (2007).
24. R. Demkowicz-Dobrzanski, A. Sen De, U. Sen, and M. Lewenstein, e-print arXiv:quant-ph/0802.1811.
25. R. Matsumoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.062316 76, 062316 (2007).
26. S. Kumar Singh and R. Srikanth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012328 71, 012328 (2005).