Optimal entanglement witnesses from generalized reduction and Robertson maps

Journal of Physics A: Mathematical and Theoretical

Volumn 44, Issue 16, 2011, Pages

  Chruściński, Dariusz ^a   Pytel, Justyna ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79953742859     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/44/16/165304     Document Type: Article

References (48)

1. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
2. Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
3. Gühne O and Tóth G 2009 Phys. Rep. 474 1
4. Horodecki M, Horodecki P and Horodecki R 1996 Phys. Lett. A 223 1
5. Terhal B M 2000 Phys. Lett. A 271 319
6. Terhal B M 2002 Theor. Comput. Sci. 287 313
7. Lewenstein M, Kraus B, Cirac J I and Horodecki P 2000 Phys. Rev. A 62 052310
8. Lewenstein M, Kraus B, Horodecki P and Cirac J I 2001 Phys. Rev. A 63 044304
9. Kraus B, Lewenstein M and Cirac J I 2002 Phys. Rev. A 65 042327
10. Hyllus P, Gühne O, Bruss D and Lewenstein M 2005 Phys. Rev. A 72 012321
11. Bru D 2002 J. Math. Phys. 43 4237
12. Tóth G and Gühne O 2005 Phys. Rev. Lett. 94 060501
13. Bertlmann R A, Narnhofer H and Thirring W 2002 Phys. Rev. A 66 032319
14. Brando F G S L 2005 Phys. Rev. A 72 022310
15. Eisert J, Hyllus P, Gühne O and Curty M 2004 Phys. Rev. A 70 062317
16. Chruściński D and Kossakowski A 2008 J. Phys. A: Math. Theor. 41 145301
17. Chruściński D, Pytel J and Sarbicki G 2009 Phys. Rev. A 80 062314
18. Chruściński D and Pytel J 2010 Phys. Rev. A 82 052310
19. Doherty A C, Parrilo P A and Spedalieri F M 2002 Phys. Rev. Lett. 88 187904
20. Brando F G S L and Vianna R O 2004 Phys. Rev. Lett. 93 220503
21. Eisert J, Hyllus P, Gühne O and Curty M 2004 Phys. Rev. A 70 062317
22. Horodecki P 2003 Phys. Rev. A 68 052101
23. Horodecki P and Ekkert A 2002 Phys. Rev. Lett. 89 127902
24. Korbicz J K, Almeida M L, Bae J, Lewenstein M and Acin A 2008 Phys. Rev. A 78 062105
25. Augusiak R, Bae J, Czekaj Ł and Lewenstein M 2010 On structural physical approximations and entanglement breaking maps arXiv:1008.5056
26. Horodecki M, Shor P W and Ruskai M 2003 Rev. Math. Phys. 15 629
27. Holevo A 1990 Russ. Math. Surv. 53 1295
28. Størmer E 1963 Acta Math. 110 233
29. Størmer E 1982 Proc. Am. Math. Soc. 86 402
30. Arveson W 1969 Acta Math. 123 141
31. Choi M-D 1975 Linear Algebra Appl. 10 285
32. Choi M-D 1975 Linear Algebra Appl. 12 95
33. Woronowicz S L 1976 Rep. Math. Phys. 10 165
34. Woronowicz S L 1976 Commun. Math. Phys. 51 243
35. Paulsen V 2003 Completely Bounded Maps and Operator Algebras (Cambridge: Cambridge University Press)
36. Skowronek Ł and yczkowski K 2009 J. Phys. A: Math. Theor. 42 325302
37. Skowronek Ł, Størmer E and yczkowski K 2009 J. Math. Phys. 50 062106
38. Chruściński D and Kossakowski A 2009 Commun. Math. Phys. 290 1051
39. Chruściński D and Kossakowski A 2009 Phys. Lett. A 373 2301
40. Chruściński D, Kossakowski A and Sarbicki G 2009 Phys. Rev. A 80 042314
41. Chruściński D and Kossakowski A 2007 Open Syst. Inf. Dyn. 14 275
42. Jamiołkowski A 1972 Rep. Math. Phys. 3 275
43. Robertson A G 1985 J. Lond. Math. Soc. 32 133
44. Chruściński D and Kossakowski A 2008 J. Phys. A: Math. Theor. 41 215201
45. Breuer H-P 2006 Phys. Rev. Lett. 97 0805001
46. Hall W 2006 J. Phys. A: Math. Gen. 39 14119
47. Chruściński D and Kossakowski A 2006 Phys. Rev. A 74 022308
48. Bhatia R 2006 Positive Definite Matrices (Princeton, NJ: Princeton University Press)