Detection of multiparticle entanglement: Quantifying the search for symmetric extensions

Physical Review Letters

Volumn 109, Issue 16, 2012, Pages

  Brandão, Fernando G S L ^a,b   Christandl, Matthias ^a  

^a ETH ZURICH   (Switzerland)

^b FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMIC APPLICATIONS; FROBENIUS NORM; LOCAL OPERATIONS AND CLASSICAL COMMUNICATIONS; MULTIPARTICLE ENTANGLEMENT; QUANTITATIVE BOUNDS; QUANTUM STATE; SEPARABLE STATE; SYMMETRIC EXTENSION;

ALGORITHMS;

QUANTUM ENTANGLEMENT;

EID: 84867509151     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.160502     Document Type: Article

References (36)

1. C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.1895
2. 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), pp. 175-179.
3. A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.67.661
4. C.H. Bennett, I. Devetak, A.W. Harrow, P.W. Shor, and A. Winter, arXiv:0912.5537v1.
5. M. Berta, M. Christandl, and R. Renner, Commun. Math. Phys. 306, 579 (2011). CMPHAY 0010-3616 10.1007/s00220-011-1309-7
6. A. Peres, Phys. Rev. Lett. 77, 1413 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413
7. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996). PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2
8. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.5239
9. A.C. Doherty, P.A. Parrilo, and F.M. Spedalieri, Phys. Rev. A 69, 022308 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.022308
10. E. Størmer, J. Funct. Anal. 3, 48 (1969). JFUAAW 0022-1236 10.1016/0022-1236(69)90050-0
11. R.L. Hudson and G.R. Moody, Z. Wahrsch. Verw. Geb. 33, 343 (1976). ZWVGAA 0044-3719 10.1007/BF00534784
12. G.A. Raggio and R.F. Werner, Helv. Phys. Acta 62, 980 (1989). HPACAK 0018-0238
13. R.F. Werner, Lett. Math. Phys. 17, 359 (1989). LMPHDY 0377-9017 10.1007/BF00399761
14. C.M. Caves, C.A. Fuchs, and R. Schack, J. Math. Phys. (N.Y.) 43, 4537 (2002); JMAPAQ 0022-2488 10.1063/1.1494475
15. C.M. Caves C.A. Fuchs R. Schack J. Math. Phys. (N.Y.) 49, 019902(E) (2008). JMAPAQ 0022-2488 10.1063/1.2838765
16. R. König and R. Renner, J. Math. Phys. (N.Y.) 46, 122108 (2005). JMAPAQ 0022-2488 10.1063/1.2146188 (Pubitemid 43032210)
17. M. Christandl, R. König, G. Mitchison, and R. Renner, Commun. Math. Phys. 273, 473 (2007). CMPHAY 0010-3616 10.1007/s00220-007-0189-3
18. M. Navascués, M. Owari, and M.B. Plenio, Phys. Rev. Lett. 103, 160404 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.160404
19. M. Navascués, M. Owari, and M.B. Plenio, Phys. Rev. A 80, 052306 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.80.052306
20. L. Gurvits, J. Comput. Syst. Sci. 69, 448 (2004). JCSSBM 0022-0000 10.1016/j.jcss.2004.06.003
21. S. Gharibian, Quantum Inf. Comput. 10, 343 (2010). QICUAW 1533-7146
22. F.G.S.L. Brandão, M. Christandl, and J. Yard, Commun. Math. Phys. 306, 805 (2011). CMPHAY 0010-3616 10.1007/s00220-011-1302-1
23. F.G.S.L. Brandão, M. Christandl, and J. Yard, in STOC '11: Proceedings of the 43rd Annual ACM Symposium on Theory of Computing (ACM, New York, 2011), pp. 343-351;
24. F.G.S.L. Brandão M. Christandl J. Yard, arXiv:1011.2751.
25. A.C. Doherty, P.A. Parrilo, and F.M. Spedalieri, Phys. Rev. A 71, 032333 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.71.032333 (Pubitemid 40648447)
26. M. Christandl, N. Schuch, and A. Winter, Phys. Rev. Lett. 104, 240405 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.240405
27. W. Matthews, S. Wehner, and A. Winter, Commun. Math. Phys. 291, 813 (2009). CMPHAY 0010-3616 10.1007/s00220-009-0890-5
28. R. Renner, Nature Phys. 3, 645 (2007). NPAHAX 1745-2473 10.1038/nphys684
29. S. Beigi, P. Shor, and J. Watrous, Theory Comput. 7, 101 (2011). 1557-2862 10.4086/toc.2011.v007a007
30. P. Diaconis and D. Freedman, The Annals of Probability 8, 745 (1980). APBYAE 0091-1798 10.1214/aop/1176994663
31. B. Toner and M. Christandl, J. Math. Phys. (N.Y.) 50, 042104 (2009). JMAPAQ 0022-2488 10.1063/1.3114986
32. B.M. Terhal, D.P. DiVincenzo, and D.W. Leung, Phys. Rev. Lett. 86, 5807 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.5807 (Pubitemid 32577034)
33. D. DiVincenzo, D. Leung, and B. Terhal, IEEE Trans. Inf. Theory 48, 580 (2002). IETTAW 0018-9448 10.1109/18.985948 (Pubitemid 34239789)
34. T. Eggeling and R.F. Werner, Phys. Rev. Lett. 89, 097905 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.097905
35. J. Walgate, A.J. Short, L. Hardy, and V. Vedral, Phys. Rev. Lett. 85, 4972 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.4972 (Pubitemid 32871682)
36. S. Virmani, M. Sacchi, M. Plenio, and D. Markham, Phys. Lett. A 288, 62 (2001). PYLAAG 0375-9601 10.1016/S0375-9601(01)00484-4 (Pubitemid 32927481)