Some families of density matrices for which separability is easily tested

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 1, 2006, Pages

  Braunstein, Samuel L ^a   Ghosh, Sibasish ^a   Mansour, Toufik ^b   Severini, Simone ^a   Wilson, Richard C ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

^b UNIVERSITY OF HAIFA   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY; LAPLACE TRANSFORMS;

DENSITY MATRICES; PERES-HORODECKI PARTIAL TRANSPOSITION;

MATRIX ALGEBRA;

EID: 33144479490     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.012320     Document Type: Article

References (18)

1. A. Doherty, P. Parrilo, and F. Spedalieri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.187904 88, 187904 (2002).
2. M. Grötschel, L. Lovász, and A. Schrijver, Geometric Algorithms and Combinatorial Optimization (Springer-Verlag, Berlin, 1988).
3. P. Gritzmann and V. Klee, NATO ASI Ser., Ser. C NSCSDW 0258-2023 440, 373 (1994).
4. J. Eisert, P. Hyllus, O. Gühne, and M. Curty, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062317 70, 062317 (2004).
5. F. Hulpke and D. Bruß, e-print quant-ph/0407179.
6. L. M. Ioannou, B. C. Travaglione, D. C. Cheung, and A. K. Ekert, e-print quant-ph/0403041.
7. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
8. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996).
9. S. L. Braunstein, C. M. Caves, R. Jozsa, N. Linden, S. Popescu, and R. Schack, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1054 83, 1054 (1999).
10. D. Bruß, J. I. Cirac, P. Horodecki, F. Hulpke, B. Kraus, M. Lewenstein, and A. Sanpera, J. Mod. Opt. JMOPEW 0950-0340 10.1080/ 09500340110105975 49, 1399 (2002).
11. S. L. Braunstein, S. Ghosh, and S. Severini, Ann. Comb. (to be published), e-print quant-ph/0406165.
12. C. Godsil and G. Royle, Algebraic Graph Theory, Graduate Texts in Mathematics, Vol. 207 (Springer-Verlag, New York, 2001).
13. F. R. K. Chung, in Spectral Graph Theory, Volume 92 of CBMS Regional Conference Series in Mathematics, (American Mathematical Society, Providence, RI, 1997).
14. H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.910 86, 910 (2001).
15. R. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2726 84, 2726 (2000).
16. A. Terras, Fourier Analysis on Finite Groups and Applications, London Mathematical Society Student Texts, Vol. 43 (Cambridge University Press, Cambridge, England, 1999).
17. P. J. Davis, Circulant Matrices (Wiley-Interscience, New York, 1979).
18. L. Gurvits in, Proceedings of the 35th ACM Symposium on Theory of Computing, edited by ACM Press (New York, 2003).