Entanglement and discord of the superposition of Greenberger-Horne- Zeilinger states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 3, 2011, Pages

  Parashar, Preeti ^a   Rana, Swapan ^a  

^a INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC EXPRESSIONS; ARBITRARY SUPERPOSITION; EXPLICIT FORMULA; GEOMETRIC MEASURES; GHZ STATE; GREENBERGER-HORNE-ZEILINGER STATE; ORTHONORMAL; RELATIVE ENTROPY; RELATIVE ENTROPY OF ENTANGLEMENT; SEPARABLE STATE; W STATE;

ENTROPY; TEACHING;

QUANTUM ENTANGLEMENT;

EID: 79952286096     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.032301     Document Type: Article

References (50)

1. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.865 81, 865 (2009).
2. O. Gühne and G. Toth, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.02.004 474, 1 (2009).
3. T.-C. Wei and P. M. Goldbart, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.042307 68, 042307 (2003).
4. T.-C. Wei, M. Ericsson, P. M. Goldbart, and W. J. Munro, Quantum Inf. Comput. 4, 252 (2004).
5. R. Hübener, M. Kleinmann, T.-C. Wei, C. González- Guillén, and O. Gühne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.032324 80, 032324 (2009).
6. S. Tamaryan, T.-C. Wei, and D. K. Park, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.052315 80, 052315 (2009).
7. S. Tamaryan, A. Sudbery, and L. Tamaryan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.052319 81, 052319 (2010).
8. J. Martin, O. Giraud, P. A. Braun, D. Braun, and T. Bastin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.062347 81, 062347 (2010);
9. L. Chen, A. Xu, and H. Zhu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.032301 82, 032301 (2010).
10. O. Biham, M. A. Nielsen, and T. J. Osborne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.062312 65, 062312 (2002).
11. Y. Shimoni, D. Shapira, and O. Biham, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062303 69, 062303 (2004);
12. L. Tamaryan, D. K. Park, and S. Tamaryan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.022325 77, 022325 (2008); (Pubitemid 351391386)
13. E. Jung, M.-R. Hwang, D. Park, L. Tamaryan, and S. Tamaryan, Quantum Inf. Comput. 8, 0925 (2008).
14. R. F. Werner and A. S. Holevo, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1498491 43, 4353 (2002).
15. M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.040501 96, 040501 (2006). (Pubitemid 43270864)
16. M. Van den Nest, A. Miyake, W. Dür, and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.150504 97, 150504 (2006); (Pubitemid 44570410)
17. M. Van den Nest, W. Dür, A. Miyake, and H. J. Briegel, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/6/204 9, 204 (2007); (Pubitemid 47146359)
18. C. E. Mora, M. Piani, A. Miyake, M. Van den Nest, W. Dur, and H. J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.042315 81, 042315 (2010).
19. D. Gross, S. T. Flammia, and J. Eisert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.190501 102, 190501 (2009).
20. R. Orús, S. Dusuel, and J. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.025701 101, 025701 (2008);
21. R. Orús, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.062332 78, 062332 (2008);
22. R. Orús and T.-C. Wei, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.82.155120 82, 155120 (2010).
23. M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.012104 77, 012104 (2008); (Pubitemid 351147748)
24. D. Cavalcanti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.044302 73, 044302 (2006). (Pubitemid 43671410)
25. N. Linden, S. Popescu, and J. A. Smolin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.100502 97, 100502 (2006). (Pubitemid 44373689)
26. G. Gour, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.052320 76, 052320 (2007). (Pubitemid 350159203)
27. Y.-C. Ou and H. Fan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76. 022320 76, 022320 (2007). (Pubitemid 47311577)
28. C.-S. Yu, X. X. Yi, and H.-S. Song, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.022332 75, 022332 (2007). (Pubitemid 46353796)
29. D. Cavalcanti, M. O. Terra Cunha, and A. Acín, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.042329 76, 042329 (2007). (Pubitemid 350010795)
30. W. Song, N.-L. Liu, and Z.-B. Chen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.054303 76, 054303 (2007). (Pubitemid 350049861)
31. H. Ollivier and W. H. Zurek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.017901 88, 017901 (2001);
32. S. Luo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.042303 77, 042303 (2008); (Pubitemid 351490828)
33. A. Datta, A. Shaji, and C. M. Caves, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.050502 100, 050502 (2008); (Pubitemid 351220701)
34. M. Ali, A. R. P. Rau, and G. Alber, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.042105 81, 042105 (2010);
35. B. Bylicka and D. Chruściński, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.062102 81, 062102 (2010);
36. M. D. Lang and C. M. Caves, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.150501 105, 150501 (2010);
37. S. Luo and S. Fu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82. 034302 82, 034302 (2010).
38. K. Modi, T. Paterek, W. Son, V. Vedral, and M. Williamson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.080501 104, 080501 (2010).
39. [http://www.imaph.tu-bs.de/qi/problems/8.html].
40. S. Friedland and G. Gour, e-print arXiv: 1007.4544 [quant-ph] (2010).
41. H. Kim, M.-R. Hwang, E. Jung, and D. K. Park, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.052325 81, 052325 (2010).
42. M. B. Plenio, S. Virmani, and P. Papadopoulos, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/22/101 33, L193 (2000);
43. M. B. Plenio and V. Vedral, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/35/325 34, 6997 (2001).
44. T.-C. Wei, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.012327 78, 012327 (2008).
45. V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2275 78, 2275 (1997).
46. S. Ishizaka, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.060301 67, 060301 (R) (2003);
47. A. Miranowicz and S. Ishizaka, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.032310 78, 032310 (2008).
48. H. Kim, M. R. Hwang, E. Jung, and D. K. Park, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.052325 81, 052325 (2010).
49. K. Uyanik and S. Turgut, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.032306 81, 032306 (2010).
50. H. Zhu, L. Chen, and M. Hayashi, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/8/083002 12, 083002 (2010).