Difficulties in analytic computation for relative entropy of entanglement

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 5, 2010, Pages

  Kim, Hungsoo ^a   Hwang, Mi Ra ^a   Jung, Eylee ^a   Park, Daekil ^a  

^a Kyungnam University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC COMPUTATIONS; BLOCH VECTORS; CORRELATION VECTORS; CROSSING POINT; ENTANGLED STATE; GEOMETRICAL OBJECTS; PARTIAL TRANSPOSE; RELATIVE ENTROPY OF ENTANGLEMENT; REVERSE PROCESS; SEPARABLE STATE; STRAIGHT LINES; TWO-QUBIT STATE; TWO-QUBIT SYSTEM;

ELECTRON ENERGY LEVELS; QUANTUM OPTICS; VECTORS;

QUANTUM ENTANGLEMENT;

EID: 77953177472     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.052325     Document Type: Article

References (26)

1. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1895 70, 1895 (1993).
2. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2881 69, 2881 (1992).
3. V. Scarani, S. Lblisdir, N. Gisin, and A. Acin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.1225 77, 1225 (2005), and references therein.
4. A. K. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.661 67, 661 (1991).
5. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003).
6. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
7. Y. Shimoni, D. Shapira, and O. Biham, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062303 69, 062303 (2004).
8. B. P. Lanyon, M. Barbieri, M. P. Almeida, and A. G. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.200501 101, 200501 (2008).
9. E. Biham, G. Brassard, D. Kenigsberg, and T. Mor, Theor. Comput. Sci. TCSCDI 0304-3975 10.1016/j.tcs.2004.03.041 320, 15 (2004).
10. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.3824 54, 3824 (1996).
11. V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2275 78, 2275 (1997).
12. V. Vedral and M. B. Plenio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.1619 57, 1619 (1998).
13. E. M. Rains, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.173 60, 173 (1999).
14. E. M. Rains, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.179 60, 179 (1999).
15. J. A. Smolin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.032306 63, 032306 (2001).
16. S. Ghosh, G. Kar, A. Roy, A. Sen(De), and U. Sen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.277902 87, 277902 (2001).
17. Y. X. Chen, J. S. Jin, and D. Yang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.014302 67, 014302 (2003).
18. D. Yang and Y. X. Chen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.024302 69, 024302 (2004).
19. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.865 81, 865 (2009), and references therein.
20. M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.040501 96, 040501 (2006).
21. T. C. Wei, Phys. Rev. A PHRVAO 1050-2947 10.1103/PhysRevA.78.012327 78, 012327 (2008).
22. A. Miranowicz and S. Ishizaka, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.032310 78, 032310 (2008).
23. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 2245 80, 2245 (1998).
24. O. Krueger and R. F. Werner, e-print arXiv: quant-ph/0504166.
25. R. Horodecki and M. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1838 54, 1838 (1996).
26. E. Jung, M. R. Hwang, D. K. Park, L. Tamaryan, and S. Tamaryan, Quantum Inf. Comput. 8, 0925 (2008).