Circulant states with positive partial transpose

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 3, 2007, Pages

  Chruciński, Dariusz ^a   Kossakowski, Andrzej ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY FUNCTIONAL THEORY; HILBERT SPACES; MATRIX ALGEBRA; MOLECULAR STRUCTURE;

CIRCULANT STATES; PARTIAL TRANSPOSITION;

GROUND STATE;

EID: 34548746347     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.032308     Document Type: Article

References (29)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
2. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, e-print arXiv:quant-ph/0702225.
3. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996).
4. P. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00416- 7 232, 333 (1997).
5. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
6. C. H. Bennett, D. P. DiVincenzo, T. Mor, P. W. Shor, J. A. Smolin, and B. M. Terhal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.5385 82, 5385 (1999).
7. D. P. DiVincenco, T. Mor, P. W. Shor, J. A. Smolin, and B. M. Terhal, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-003-0877-6 238, 379 (2003);
8. A. O. Pittenger, Linear Algebr. Appl. LAAPAW 0024-3795 10.1016/S0024-3795(02)00423-8 359, 235 (2003).
9. P. Horodecki, M. Horodecki, and R. Horodecki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1056 82, 1056 (1999).
10. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.187904 88, 187904 (2002).
11. D. P. DiVincenzo, P. W. Shor, J. A. Smolin, B. M. Terhal, and A. V. Thapliyal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.062312 61, 062312 (2000).
12. P. Horodecki and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2657 85, 2657 (2000).
13. D. Bruss and A. Peres, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61. 030301 61, 030301 (R) (2000).
14. S. Yu and N. L. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.150504 95, 150504 (2005).
15. M. Piani and C. Mora, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75. 012305 75, 012305 (2007).
16. L. Clarisse, Phys. Lett. A PYLAAG 0375-9601 359, 603 (2006).
17. K.-C. Ha (unpublished).
18. K. Ha, S.-H Kye, and Y. Park, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(03)00733-3 313, 163 (2003).
19. K. Ha and S.-H. Kye, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta. 2004.04.008 325, 315 (2004);
20. K. Ha and S.-H. Kye, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/41/ 014 38, 9039 (2005).
21. J. M. Leinaas, J. Myrheim, and E. Ovrum, e-print arXiv:quant-ph/0704. 3348.
22. D. Chruściński and A. Kossakowski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022308 74, 022308 (2006).
23. M. Horodecki and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4206 59, 4206 (1999).
24. R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.4277 40, 4277 (1989).
25. A. G. Robertson, Quart. J. Math. Oxford (2) 34, 87 (1983).
26. D. Chruściński and A. Kossakowski, e-print arXiv:quant-ph/0606211.
27. S.-M. Fei, X. Li-Jost, and B.-Z. Sun, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2005.12.038 352, 321 (2006).
28. M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052310 62, 052310 (2000).
29. A. Sanpera, D. Bruss, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.050301 63, 050301 (R) (2001).