Bell-state diagonal entanglement witnesses for relativistic and nonrelativistic multispinor systems in arbitrary dimensions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 1, 2008, Pages

  Jafarizadeh, M A ^a,b   Sufiani, R ^a,b  

^a UNIVERSITY OF TABRIZ   (Iran)

^b INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; CORRELATION METHODS; HILBERT SPACES; QUANTUM THEORY;

ENTANGLEMENT WITNESSES; MULTISPINOR SYSTEMS;

MATRIX ALGEBRA;

EID: 38949101466     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.012105     Document Type: Article

References (60)

1. M. Lewenstein, D. Bruss, J. I. Cirac, M. Kus, J. Samsonowicz, A. Sanpera, and R. Tarrach, J. Mod. Opt. 77, 2481 (2000). 0950-0340
2. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
3. B. M. Terhal, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00401- 1 271, 319 (2000).
4. P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.052101 68, 052101 (2003).
5. O. G'hne and N. L'tkenhaus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.170502 96, 170502 (2006).
6. B. M. Terhal, Theor. Comput. Sci. TCSCDI 0304-3975 10.1016/S0304-3975(02) 00139-1 287, 313 (2002).
7. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022308 69, 022308 (2004).
8. M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052310 62, 052310 (2000).
9. A. Jamiolkowski, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(72) 90011-0 3, 275 (1972).
10. M. Lewenstein, B. Kraus, P. Horodecki, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.044304 63, 044304 (2001).
11. S. J. Akhtarshenas and M. A. Jafarizadeh, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2003-00243-1 25 (3), 293 (2003).
12. S. J. Akhtarshenas and M. A. Jafarizadeh, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/8/008 37, 2965 (2004).
13. S. J. Akhtarshenas and M. A. Jafarizadeh, Quantum Inf. Comput. 3, 229 (2003). 0890-5401
14. M. A. Jafarizadeh, M. Mirzaee, and M. Rezaee, Int. J. Quantum Inf. ZZZZZZ 0219-7499 3, 511 (2005).
15. D. Bruss, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340110105975 49, 1399 (2002).
16. K. Eckert, J. Schliemann, D. Bruss, and M. Lewenstein, Ann. Phys. (Leipzig) 299, 88 (2002). 0003-4916
17. M. N. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
18. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2881 69, 2881 (1992).
19. W. Y. Hwang, D. Ahn, S. W. Hwang, and Y. D. Han, Eur. Phys. J. D EPJDF6 1434-6060 10.1007/s10053-002-8863-7 19, 129 (2002).
20. L. H. Ryder, Quantum Field Theory (Cambridge University Press, New York, 1986).
21. A. Peres and D. R. Terno, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.93 76, 93 (2004).
22. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.47.777 47, 777 (1935).
23. M. Czachor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.72 55, 72 (1997).
24. A. Peres, P. F. Scudo, and D. R. Terno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.230402 88, 230402 (2002).
25. P. M. Alsing and G. Milburne, Quantum Inf. Comput. QICUAW 1533-7146 2, 487 (2002).
26. R. M. Gingrich and C. Adami, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.270402 89, 270402 (2002).
27. D. Ahn, H. J. Lee, Y. H. Moon, and S. W. Hwang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.012103 67, 012103 (2003).
28. D. Ahn, H.J. Lee, and S.W. Hwang, e-print arXiv:quant-ph/0207018
29. D. Ahn, H.J. Lee, S.W. Hwang, and M.S. Kim, e-print arXiv:quant-ph/ 0207018.
30. J. Pachos and E. Solano, Quantum Inf. Comput. QICUAW 1533-7146 3, 115 (2003).
31. H. Terashima and M. Ueda, Quantum Inf. Comput. QICUAW 1533-7146 10.1142/S0219749903000061 1, 93 (2003).
32. R. M. Gingrich, A. J. Bergou, and C. Adami, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.042102 68, 042102 (2003).
33. C. Soo and C. C. Y. Lin, Quantum Inf. Comput. QICUAW 1533-7146 2, 183 (2004).
34. W. T. Kim and E.J. Son, e-print arXiv:quant-ph/0408127.
35. A. Peres and D. R. Terno, Quantum Inf. Comput. QICUAW 1533-7146 1, 225 (2003).
36. P. M. Alsing and G. J. Milburn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.180404 91, 180404 (2003).
37. M. Czachor and M. Wilczewski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.010302 68, 010302 (R) (2003).
38. H. Terashima and M. Ueda, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.032113 69, 032113 (2004).
39. R. Laiho, S. N. Molotkov, and S. S. Nazin, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00556-9 275, 36 (2000).
40. J. Rembielinski and K. A. Smolinski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.052114 66, 052114 (2002).
41. P. Hyllus, O. G'hne, D. Bru, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012321 72, 012321 (2005).
42. M. Ozawa, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00171-7 268, 158 (2000).
43. F. G. S. L. Brando, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72. 022310 72, 022310 (2005).
44. R. A. Bertlmann, K. Durstberger, B. C. Hiesmayr, and Ph. Krammer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.052331 72, 052331 (2005).
45. R. A. Bertlmann, H. Narnhofer, and W. Thirring, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.032319 66, 032319 (2002).
46. A. Acn, D. Bru, M. Lewenstein, and A. Sanpera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.040401 87, 040401 (2001).
47. M. A. Jafarizadeh, M. Rezaee, and S. Ahadpour, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042335 74, 042335 (2006).
48. M. A. Jafarizadeh, M. Rezaee, and S. K. A. Seyed Yagoobi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.062106 72, 062106 (2005).
49. S. Boyd and L. Vandenberghe, Convex Optimization (Cambridge University Press, Cambridge, England, 2004).
50. M. A. Jafarizadeh, G. Najarbashi, and H. Habibian, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.052326 75, 052326 (2007).
51. J. Pachos and E. Solano, Quantum Inf. Comput. 3, 115 (2003). 0890-5401
52. S. L. Woronowicz, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(76) 90038-0 10, 165 (1976).
53. M. Lewenstein, www.itp.uni-hannover.de/tqowww/ download/QIT2000.pdf
54. W. Dur and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.042314 61, 042314 (2000).
55. R. O. Vianna and A. C. Doherty, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.052306 74, 052306 (2006).
56. Y. Ohnuki, Unitary Representations of the Poincaré Group and Relativistic Wave Equations (Nagoya University Press, Nagoya, 1988).
57. S. Weinberg, The Quantum Theory of Fields I (Cambridge University Press, New York, 1995).
58. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 2245 80, 2245 (1998).
59. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5239 80, 5239 (1998).
60. M. Czachor, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 078901 94, 078901 (2005).