Entanglement and majorization in (1+1)-dimensional quantum systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 5, 2005, Pages

  Orús, Román ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BIPARTITE SYSTEM; QUANTUM SYSTEMS; UNIPARAMETRIC FLOWS;

DEFORMATION; MATRIX ALGEBRA;

QUANTUM THEORY;

EID: 26944491146     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.052327     Document Type: Article

References (29)

1. M. A. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000).
2. J. Preskill, J. Mod. Opt. JMOPEW 0950-0340 10.1080/095003400148097 47 127 (2000);
3. X.-G. Wen, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02)00808-3 300, 175 (2002).
4. H. A. Carteret, e-print quant-ph/0405168.
5. R. Bhatia, Matrix Analysis (Springer-Verlag, New York, 1997);
6. G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities (Cambridge University Press, Cambridge, U.K., 1978;
7. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications (Academic, New York, 1979).
8. J. I. Latorre, C. A. Lütken, E. Rico, and G. Vidal, e-print quant-ph/0404120.
9. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003);
10. J. I. Latorre, E. Rico, and G. Vidal, Quantum Inf. Comput. QICUAW 1533-7146 10.1103/PhysRevLett.90.227902 4, 48 (2004).
11. V. E. Korepin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 096402 92, 096402 (2004);
12. A. R. Its, B. Q. Jin, and V. E. Korepin, e-print quant-ph/0409027;
13. P. Calabresse and J. Cardy, J. Stat. Mech.: Theory Exp. 1742-5468 2004, 06002.
14. A. B. Zamolodchikov, JETP Lett. JTPLA2 0021-3640 10.1134/1.563361 43, 730 (1986).
15. I. Peschel, M. Kaulke, and A. Legeza, Ann. Phys. ANPYA2 0003-3804 8, 153 (1999).
16. I. Peschel, J. Stat. Mech.: Theory Exp. 1742-5468 2004, 12005;
17. I. Peschel, J. Stat. Mech.: Theory Exp. 1742-5468 2004, 06004.
18. C. Holzhey, F. Larsen, and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90402-2 424, 443 (1994);
19. P. Ginsparg, in Applied Conformal Field Theory, edited by, E. Brézin, and, J. Jinn Justin, Proceedings of the Les Houches Summer School of Theoretical Physics, 1988 (Oxford University Press, Oxford, U.K.).
20. E. Baruoch, and B. M. McCoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.786 3, 786 (1971).
21. D. Porras and J. I. Cirac, e-print quant-ph/0401102.
22. R. Orús and J. I. Latorre, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052308 69, 052308 (2004);
23. J. I. Latorre and R. Orús, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062302 69, 062302 (2004).
24. T. S. Cubitt, F. Verstraete, W. Dur, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.047002 91, 037902 (2003).
25. F. Verstraete, J. I. Cirac, J. I. Latorre, E. Rico, and M. M. Wolf, e-print quant-ph/0410227;
26. S. Forte and J. I. Latorre, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(98)00631-2 535, 709 (1998).
27. C. Wellard and R. Orús, e-print quant-ph/0401144;
28. C. Wellard and R. Orús, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062318 70, 062318 (2004);
29. J. I. Latorre, R. Orús, E. Rico, and J. Vidal, e-print cond-mat/0409611.