Checking 2×M quantum separability via semidefinite programming

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 1, 2003, Pages

  Woerdeman, Hugo J ^a  

^a Asian and Middle Eastern Studies Program   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DATA PROCESSING; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; POLYNOMIALS;

FACTORIZATION; HILBERT SPACE; LEBESGUE SPACE; QUADRATIC MATRIX POLYNOMIALS; SEMIDEFINITE PROGRAMMING; TOEPLITZ OPERATOR;

QUANTUM THEORY;

EID: 0037238433     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, London 2000).
2. Mathematics of Quantum Computation, edited by R. Brylinski and G. Chen, Computational Mathematics Series Vol. 3 (Chapman & Hall/CRC, Boca Raton, FL, 2002).
3. A. Peres, Phys. Rev. Lett. 77, 1413 (1996).
4. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996).
5. P. Horodecki et al., Phys. Rev. A 62, 032310 (2000).
6. A.C. Doherty et al., Phys. Rev. Lett. 88, 187904 (2002).
7. F. Alizadeh et al., see http://www.cs.nyu.edu/overton/sdppack/sdppack.html.
8. L. Vandenberghe and S. Boyd, available via anonymous ftp to isl.stanford.edu under/pub/boyd/semidef-prog.
9. L. Vandenberghe and S. Boyd, SIAM Rev. 38, 49 (1996).
10. K. Audenaert and B. De Moor, Phys. Rev. A 65, 030302 (2002).
11. E.M. Rains, IEEE Trans. Inf. Theory 47, 2921 (2001).
12. M. Ježek, J. Řeháček, and J. Fiurášek, Phys. Rev. A 65, 060301 (2002).
13. Y.C. Eldar et al., e-print quant-ph/0205178.
14. I. Gohberg, S. Goldberg, and M.A. Kaashoek, Classes of Linear Operators (Birkhäuser Verlag, Basel, 1993), Vol. II.
15. A. Böttcher and B. Silbermann, Analysis of Toeplitz Operators (Springer-Verlag, Berlin, 1990).
16. M. Rosenblum and J. Rovnyak, Hardy Classes and Operator Theory (Clarendon Press, New York, 1985).
17. J.B. Conway, A Course in Functional Analysis, Graduate Texts in Mathematics Vol. 96 (Springer-Verlag, New York, 1985).