Time-optimal generation of cluster states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 4, 2009, Pages

  Fisher, Robert ^a   Yuan, Haidong ^b   Spörl, Andreas ^a   Glaser, Steffen ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BLOCH SPHERES; CLUSTER STATE; IMPLEMENTATION SCHEMES; OPTIMAL CONTROL THEORIES; PHYSICAL SYSTEMS; TARGET STATE; TIME-OPTIMAL;

CONTROL THEORY; OPTIMAL CONTROL SYSTEMS;

OPTIMIZATION;

EID: 64649094569     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.042304     Document Type: Article

References (28)

1. R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. 86, 5188 (2001). 10.1103/PhysRevLett.86.5188
2. M. A. Nielsen, e-print arXiv:quant-ph/0504097, Rev. Math. Phys. (to be published).
3. H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. 86, 910 (2001). 10.1103/PhysRevLett.86.910
4. W. Dür and H. J. Briegel, Phys. Rev. Lett. 92, 180403 (2004). 10.1103/PhysRevLett.92.180403
5. P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature (London) 434, 169 (2005). 10.1038/nature03347
6. C.-Y. Lu, X.-Q. Zhou, O. Gühne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, Nat. Phys. 3, 91 (2007). 10.1038/nphys507
7. H. Wunderlich and C. Wunderlich, e-print arXiv:quant-ph/0901.0881, Phys. Rev. A (to be published).
8. L. Pontryagin, B. Boltyanskii, R. Gamkrelidze, and E. Mishchenko, The Mathematical Theory of Optimal Processes (Wiley-Interscience, New York, 1962).
9. A. E. Bryson and Y.-C. Ho, Applied Optimal Control (Hemisphere, Washington, DC, 1975).
10. N. Khaneja, R. Brockett, and S. J. Glaser, Phys. Rev. A 63, 032308 (2001). 10.1103/PhysRevA.63.032308
11. H. Yuan and N. Khaneja, Phys. Rev. A 72, 040301 (R) (2005). 10.1103/PhysRevA.72.040301
12. T. O. Reiss, N. Khaneja, and S. J. Glaser, J. Magn. Reson. 154, 192 (2002). 10.1006/jmre.2001.2480
13. N. Khaneja, F. Kramer, and S. J. Glaser, J. Magn. Reson. 173, 116 (2005). 10.1016/j.jmr.2004.11.023
14. N. Khaneja, S. J. Glaser, and R. Brockett, Phys. Rev. A 65, 032301 (2002). 10.1103/PhysRevA.65.032301
15. T. O. Reiss, N. Khaneja, and S. J. Glaser, J. Magn. Reson. 165, 95 (2003). 10.1016/S1090-7807(03)00245-3
16. N. Khaneja, B. Heitmann, A. Spörl, H. Yuan, T. Schulte- Herbrüggen, and S. J. Glaser, Phys. Rev. A 75, 012322 (2007). 10.1103/PhysRevA.75.012322
17. H. Yuan, S. J. Glaser, and N. Khaneja, Phys. Rev. A 76, 012316 (2007). 10.1103/PhysRevA.76.012316
18. H. Yuan, R. Zeier, and N. Khaneja, Phys. Rev. A 77, 032340 (2008). 10.1103/PhysRevA.77.032340
19. N. Khaneja and S. J. Glaser, Phys. Rev. A 66, 060301 (R) (2002). 10.1103/PhysRevA.66.060301
20. D. Stefanatos, S. J. Glaser, and N. Khaneja, Phys. Rev. A 72, 062320 (2005). 10.1103/PhysRevA.72.062320
21. N. Khaneja, T. O. Reiss, C. Kehlet, T. Schulte-Herbrüggen, S. J. Glaser, J. Magn. Reson. 172, 296 (2005). 10.1016/j.jmr.2004.11.004
22. T. Schulte-Herbrüggen, A. Spörl, N. Khaneja, and S. J. Glaser, Phys. Rev. A 72, 042331 (2005). 10.1103/PhysRevA.72.042331
23. J. L. Neves, B. Heitmann, T. O. Reiss, H. H. R. Schor, N. Khaneja, and S. J. Glaser, J. Magn. Reson. 181, 126 (2006). 10.1016/j.jmr.2006.03.021
24. A. Spörl, T. Schulte-Herbrüggen, S. J. Glaser, V. Bergholm, M. J. Storcz, J. Ferber, and F. K. Wilhelm, Phys. Rev. A 75, 012302 (2007). 10.1103/PhysRevA.75.012302
25. D. B. West, Introduction to Graph Theory (Prentice Hall, Upper Saddle River, NJ, 2001).
26. C. N. Banwell and H. Primas, Mol. Phys. 6, 225 (1963). 10.1080/00268976300100281
27. M. Hein, J. Eisert, and H. J. Briegel, Phys. Rev. A 69, 062311 (2004). 10.1103/PhysRevA.69.062311
28. T. Schulte-Herbrüggen and O. Sørensen, Concepts Magn. Reson. 12, 389 (2000). 10.1002/1099-0534(2000)12:6<389::AID-CMR2>3.0.CO;2-T