Optimal two-qubit gate for generation of random bipartite entanglement

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 1, 2007, Pages

  Žnidarič, Marko ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ELECTRON ENERGY LEVELS; ELECTRON TRANSITIONS; RANDOM PROCESSES;

BIPARTITE ENTANGLEMENT; ENTANGLING GATE; TWO-QUBIT GATE;

MOLECULAR PHYSICS;

EID: 34547141605     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.012318     Document Type: Article

References (50)

1. M. B. Plenio and S. Virmani, Quantum Inf. Comput. QICUAW 1533-7146 7, 1 (2007);
2. D. Bruß, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1494474 43, 4237 (2002).
3. E. Lubkin, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.523763 19, 1028 (1978).
4. S. Lloyd and H. Pagels, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(88)90094-2 188, 186 (1988).
5. D. Page, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.1291 71, 1291 (1993).
6. J. Sánchez-Ruiz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.5653 52, 5653 (1995).
7. S. Sen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1 77, 1 (1996).
8. K. Zyczkowski and H.-J. Sommers, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/35/335 34, 7111 (2001).
9. V. M. Kendon, K. Zyczkowski, and W. J. Munro, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.062310 66, 062310 (2002).
10. P. Facchi, G. Florio, and S. Pascazio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042331 74, 042331 (2006).
11. V. Cappellini, H.-J. Sommers, and K. Zyczkowski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.062322 74, 062322 (2006).
12. O. Giraud, J. Phys. A JPHAC5 0305-4470 40, 2793 (2007).
13. M. Žnidarič, J. Phys. A JPHAC5 0305-4470 40, F105 (2007).
14. M. L. Mehta, Random Matrices, 2nd. ed. (Academic Press, New York, 1991);
15. T. Guhr, H. A. Weidenmüller, and A. Müller-Groeling, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00088-4 299, 189 (1998).
16. P. Hayden, D. W. Leung, and A. Winter, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-006-1535-6 265, 95 (2006).
17. A. Harrow, P. Hayden, and D. Leung, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.187901 92, 187901 (2004);
18. A. Abeyesinghe, P. Hayden, G. Smith, and A. Winter, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.2006.878174 52, 3635 (2006).
19. P. Hayden D. W. Leung, P. W. Shor, and A. Winter, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-004-1087-6 250, 371 (2004).
20. C. H. Bennett, P. Hayden, D. W. Leung, P. W. Shor, and A. Winter, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.2004.839476 51, 56 (2005).
21. R. Jozsa and N. Linden, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.2002.1097 459, 2011 (2003).
22. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003).
23. G. Benenti, G. Casati, S. Montangero, and D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.227901 87, 227901 (2001).
24. B. Levi, B. Georgeot, and D. L. Shepelyansky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.046220 67, 046220 (2003).
25. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P04010.
26. G. De Chiara, S. Montangero, P. Calabrese, and R. Fazio, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006) P03001.
27. T. Prosen and M. Žnidarič, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.015202 75, 015202 (R) (2007).
28. P. A Miller and S. Sarkar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.1542 60, 1542 (1999);
29. T. Gorin and T. H. Seligman, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/4/4/325 4, S386 (2002);
30. T. Prosen and T. H. Seligman, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/22/304 35, 4707 (2002);
31. J. N. Bandyopadhyay and A. Lakshminarayan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.060402 89, 060402 (2002);
32. A. Tanaka, H. Fujisaki, and T. Miyadera, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.045201 66, 045201 (R) (2002);
33. M. Žnidarič and T. Prosen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/10/307 36, 2463 (2003);
34. A. J. Scott and C. M. Caves, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/36/308 36, 9553 (2003);
35. H. Fujisaki, T. Miyadera, and A. Tanaka, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.066201 67, 066201 (2003);
36. P. Jacquod, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 150403 92, 150403 (2004);
37. S. Ghose and B. C. Sanders, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062315 70, 062315 (2004);
38. R. Demkowicz-Dobrzański and M. Ku, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066216 70, 066216 (2004).
39. J. Emerson, Y. S. Weinstein, M. Saraceno, S. Lloyd, and D. G. Cory, Science SCIEAS 0036-8075 10.1126/science.1090790 302, 2098 (2003).
40. Y. S. Weinstein and C. S. Hellberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.030501 95, 030501 (2005).
41. J. Emerson, E. Livine, and S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.060302 72, 060302 (R) (2005).
42. L. Arnaud and D. Braun, e-print arXiv:quant-ph/0612168.
43. R. Oliveira, O. C. O. Dahlsten, and M. B. Plenio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.130502 98, 130502 (2007);
44. O. C. O. Dahlstein, R. Oliveira, and M. B. Plenio, e-print arXiv:quant-ph/0701125.
45. G. Vidal, J. Mod. Opt. JMOPEW 0950-0340 10.1080/095003400148268 47, 355 (2000).
46. N. Khaneja, R. Brockett, and S. J. Glaser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.032308 63, 032308 (2001).
47. B. Kraus and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.062309 63, 062309 (2001).
48. G. Vidal and C. M. Dawson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.010301 69, 010301 (R) (2004).
49. R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, Philadelphia, PA, 1998), also http://www.caam.rice.edu/software/ARPACK.
50. P. Diaconis, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.93.4.1659 93, 1659 (1996).