Genuine multiparticle entanglement of permutationally invariant states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 88, Issue 1, 2013, Pages

  Novo, Leonardo ^a,b   Moroder, Tobias ^b   Gühne, Otfried ^b  

^a INSTITUTO DE TELECOMUNICAÇÕES   (Portugal)

^b UNIVERSITY OF SIEGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MULTIPARTICLE ENTANGLEMENT; PARTIAL TRANSPOSE; PERMUTATIONALLY INVARIANT;

MATHEMATICAL MODELS; PHYSICS;

QUANTUM ENTANGLEMENT;

EID: 84880591760     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.88.012305     Document Type: Article

References (37)

1. T. Monz, P. Schindler, J. T. Barreiro, M. Chwalla, D. Nigg, W. A. Coish, M. Harlander, W. Hänsel, M. Hennrich, and R. Blatt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.130506 106, 130506 (2011).
2. W.-B. Gao, C.-Y. Lu, X.-C. Yao, P. Xu, O. Gühne, A. Goebel, Y.-A. Chen, C.-Z. Peng, Z.-B. Chen, and J.-W. Pan, Nat. Phys. 1745-2473 10.1038/nphys1603 6, 331 (2010).
3. X.-C. Yao, T.-X. Wang, P. Xu, H. Lu, G.-S. Pan, X.-H. Bao, C.-Z. Peng, C.-Y. Lu, Y.-A. Chen, and J.-W. Pan, Nat. Phys. 6, 225 (2012).
4. Y.-F. Huang, B.-H. Liu, L. Peng, Y.-H. Li, L. Li, C.-F. Li, and G.-C. Guo, Nat. Commun. 2041-1723 10.1038/ncomms1556 2, 546 (2011).
5. D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.052312 64, 052312 (2001).
6. D. Gross, Y.-K. Liu, S. T. Flammia, S. Becker, and J. Eisert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.150401 105, 150401 (2010).
7. M. Cramer, M. B. Plenio, S. T. Flammia, D. Gross, S. D. Bartlett, R. Somma, O. Landon-Cardinal, Y.-K. Liu, and D. Poulin, Nat. Commun. 2041-1723 10.1038/ncomms1147 1, 9 (2010).
8. O. Landon-Cardinal and D. Poulin, New J. Phys. 10.1088/1367-2630/14/8/ 085004 14, 085004 (2012).
9. G. Tóth, W. Wieczorek, D. Gross, R. Krischek, C. Schwemmer, and H. Weinfurter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.250403 105, 250403 (2010).
10. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.865 81, 865 (2009).
11. O. Gühne and G. Tóth, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.02.004 474, 1 (2009).
12. O. Gühne and M. Seevinck, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/5/053002 12, 053002 (2010).
13. M. Huber, P. Erker, H. Schimpf, A. Gabriel, and B. Hiesmayr, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.040301 83, 040301 (2011).
14. M. Huber, F. Mintert, A. Gabriel, and B. C. Hiesmayr, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.210501 104, 210501 (2010).
15. J. I. de Vicente and M. Huber, Phys. Rev. A 1050-2947 10.1103/PhysRevA.84.062306 84, 062306 (2011).
16. W. Laskowski, M. Markiewicz, T. Paterek, and M. Zukowski, Phys. Rev. A 1050-2947 10.1103/PhysRevA.84.062305 84, 062305 (2011).
17. C. Eltschka and J. Siewert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.020502 108, 020502 (2012).
18. B. Jungnitsch, T. Moroder, and O. Gühne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.190502 106, 190502 (2011).
19. B. Jungnitsch, T. Moroder, and O. Gühne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.032310 84, 032310 (2011).
20. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996).
21. G. M. D'Ariano, L. Maccone, and M. Paini, J. Opt. B JOBOFD 1464-4266 10.1088/1464-4266/5/1/311 5, 77 (2003).
22. R. B. A. Adamson, L. K. Shalm, M. W. Mitchell, and A. M. Steinberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.043601 98, 043601 (2007). (Pubitemid 46155097)
23. A. B. Klimov, G. Bjork, and L. L. Sanchez-Soto, Phys. Rev. A 1050-2947 10.1103/PhysRevA.87.012109 87, 012109 (2013).
24. T. Moroder, P. Hyllus, G. Tóth, C. Schwemmer, A. Niggebaum, S. Gaile, O. Gühne, and H. Weinfurter, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/14/10/105001 14, 105001 (2012).
25. O. Gühne, B. Jungnitsch, T. Moroder, and Y. S. Weinstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.052319 84, 052319 (2011).
26. M. Bergmann and O. Gühne, arXiv: 1305.2818.
27. L. Vandenberghe and S. Boyd, SIAM Rev. SIREAD 0036-1445 10.1137/1038003 38, 49 (1996).
28. The program pptmixer is available at http://mathworks.com/matlabcentral/ fileexchange/30968.
29. B. Q. Baragiola, B. A. Chase, and J. M. Geremia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.032104 81, 032104 (2010).
30. M. Christandl, arXiv: quant-ph/0604183.
31. B. Simon, Representations of Finite and Compact Groups, Graduate Studies in Mathematics Vol. 10 (American Mathematical Society, Providence, RI, 1996).
32. G. Tóth and O. Gühne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.170503 102, 170503 (2009).
33. J. Tura, R. Augusiak, P. Hyllus, M. KuÅ, J. Samsonowicz, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.060302 85, 060302 (R) (2012).
34. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
35. R. H. Dicke, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.93.99 93, 99 (1954).
36. H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-Al-Kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, Nature (London) NATUAS 0028-0836 10.1038/nature04279 438, 643 (2005). (Pubitemid 41740570)
37. W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103. 020504 103, 020504 (2009).