A new criterion for indecomposability of positive maps

Journal of Physics A: Mathematical and General

Volumn 39, Issue 45, 2006, Pages 14119-14131

  Hall, William ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846657938     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/45/020     Document Type: Article

References (35)

1. Schrodinger E 1935 Proc. Camb. Phil. Soc. 31 555
2. Ekert A 1991 Phys. Rev. Lett. 67 661
3. Bennett C H and Wiesner S J 1992 Phys. Rev. Lett. 69 2881
4. Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
5. Jozsa R and Linden N 2003 Proc. R. Soc. A 459 2011
6. Nielsen M and Chuang I 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
7. Horodecki M, Horodecki P and Horodecki R 1996 Phys. Lett. A 223 1
8. Choi M-D 1975 Linear Algebra Appl. 12 96
9. Cho S-J, Kye S-H and Lee S-G 1992 Linear Algebra Appl. 171 213
10. Ha K-C 2003 Linear Algebra Appl. 359 277 (2003)
11. Tanahashi K and Tomiyama J 1988 Can. Math. Bull. 31 308
12. Tang W-S 1986 Linear Algebra Appl. 79 33
13. Osaka H 1991 Linear Algebra Appl. 153 73
14. Osaka H 1993 Linear Algebra Appl. 186 45
15. Piani M 2006 Phys. Rev. A 73 012345
16. Terhal B 2001 Linear Algebra Appl. 323 61
17. Robertson A G 1983 Q. J. Math. Oxford (2) 34 87
18. Robertson A G 1983 Proc. Camb. Phil. Soc. 94 291
19. Benatti F, Floreanini R and Piani M 2004 Phys. Lett. A 326 187
20. Kossakowski A 2003 Open Syst. Inf. Dyn. 10 1
21. Kimura G and Kossakowski A 2003 Open Sys. Inf. Dyn. 10 1
22. Størmer E 1982 Proc. Am. Math. Soc. 86 402
23. Werner R F 1989 Phys. Rev. A 40 4277
24. Choi M-D 1975 Linear Algebra Appl. 10 189
25. Kraus K 1983 States, Effects, and Operations: Fundamental Notions of Quantum Theory (Lecture Notes in Physics vol 190) (Berlin: Springer)
26. Horodecki M, Horodecki P and Horodecki R 1998 Phys. Rev. Lett. 80 5239
27. Peres A 1996 Phys. Rev. Lett. 77 1413
28. Størmer E 1963 Acta Math. 110 233
29. Woronowicz S L 1976 Rep. Math. Phys. 10 165
30. Sudarshan E C G, Mathews P M and Rau J 1961 Phys. Rev. 121 920
31. Jamiołkowski A 1972 Rep. Math. Phys. 3 275
32. Horodecki M and Horodecki P 1999 Phys. Rev. A 59 4206
33. Cerf N J, Adami C and Gingrich R 1999 M Phys. Rev. A 60 898
34. Hall W 2005 Phys. Rev. A 72 022311
35. Breuer H-P 2006 An optimal entanglement witness for mixed quantum states Preprint quant-ph/0605036