Largest separable balls around the maximally mixed bipartite quantum state

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 66, Issue 6, 2002, Pages 623111-623117

  Gurvits, Leonid ^a   Barnum, Howard ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; INFORMATION THEORY; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; POLYNOMIALS; THEOREM PROVING; VECTORS;

BIPARTITE QUANTUM STATES;

QUANTUM OPTICS;

EID: 0036994563     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. R. Jozsa and N. Linden, e-print quant-ph/0201143.
2. K. Zyczkowski, P. Horodecki, A. Sanpera, and M. Lewenstein, Phys. Rev. A 58, 883 (1998).
3. S. Braunstein, C.M. Caves, R. Jozsa, N. Linden, S. Popescu, and R. Schack, Phys. Rev. Lett. 83, 1054 (1999).
4. P. Rungta, W. J. Munro, K. Nemoto, P. Deuar, G. J. Milburn, and C. M. Caves, in Directions in Quantum Optics: A Collection of Papers Dedicated to the Memory of Dan Walls, edited by D.F. Walls, R.J. Glauber, M.O. Scully, and H. Carmichael (Springer, New York, 2001).
5. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996).
6. S.L. Woronowicz, Rev. Mod. Phys. 10, 165 (1976).
7. L. Gurvits, LANL Unclassified Technical Report No. LAUR-01-2030, 2001 (unpublished).
8. L. Gurvits, e-print quant-ph/0201022.
9. T. Ando (unpublished).
10. R.A. Horn and C.R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1985).
11. M.A. Neumark, Izv. Akad. Nauk. SSSR, Ser. Mat. 4 53, 277 (1940).
12. M.A. Neumark, C. R. (Dokl.) Acad. Sci. URSS 41, 359 (1943).
13. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1993).
14. F. Verstraete, K. Audenaert, and B. De Moor, Phys. Rev. A 64, 012316 (2001).
15. K. Zyczkowski and M. Kús, Phys. Rev. A 63, 032307 (2001).
16. C.H. Bennett, D.P. DiVincenzo, T. Mor, P.W. Shor, J.A. Smolin, and B.M. Terhal, Phys. Rev. Lett. 82, 5385 (1999).