State transfer in highly connected networks and a quantum Babinet principle

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 6, 2008, Pages

  Tsomokos, D I ^a   Plenio, M B ^b   De Vega, I ^c   Huelga, S F ^a  

^a UNIVERSITY OF HERTFORDSHIRE   (United Kingdom)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; HOLOGRAPHIC INTERFEROMETRY;

BABINET PRINCIPLES; CLASSICAL OPTICS; CONNECTED NETWORKS; CROSS POLYTOPE; DIMENSIONAL NETWORKS; QUANTUM STATES; REGULAR GRAPHS; STATE TRANSFERS;

LIGHT;

EID: 57449088829     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.062310     Document Type: Article

References (25)

1. M. Takahashi, Thermodynamics of One-Dimensional Solvable Models (Cambridge University Press, Cambridge, U.K., 2005).
2. S. R. White, Phys. Rev. Lett. 69, 2863 (1992). 10.1103/PhysRevLett.69. 2863
3. M. B. Plenio, J. Hartley, and J. Eisert, New J. Phys. 6, 36 (2004). 10.1088/1367-2630/6/1/036
4. M. Christandl, N. Datta, A. Ekert, and A. J. Landahl, Phys. Rev. Lett. 92, 187902 (2004); 10.1103/PhysRevLett.92.187902
5. M. Christandl, N. Datta, T. C. Dorlas, A. Ekert, A. Kay, and A. J. Landahl, Phys. Rev. A 71, 032312 (2005). 10.1103/PhysRevA.71.032312
6. K. M. R. Audenaert, C. Godsil, G. Royle, and T. Rudolph, J. Comb. Theory, Ser. B 97, 74 (2007). 10.1016/j.jctb.2006.04.002
7. C. Facer, J. Twamley, and J. Cresser, Phys. Rev. A 77, 012334 (2008). 10.1103/PhysRevA.77.012334
8. A. Bernasconi, C. Godsil, and S. Severini, Phys. Rev. A 78, 052320 (2008). 10.1103/PhysRevA.78.052320
9. T. J. Osborne and N. Linden, Phys. Rev. A 69, 052315 (2004). 10.1103/PhysRevA.69.052315
10. M. Paternostro, G. M. Palma, M. S. Kim, and G. Falci, Phys. Rev. A 71, 042311 (2005). 10.1103/PhysRevA.71.042311
11. A. Kay, Phys. Rev. A 73, 032306 (2006). 10.1103/PhysRevA.73.032306
12. A. Ferraro, A. García-Saez, and A. Acín, Phys. Rev. A 76, 052321 (2007). 10.1103/PhysRevA.76.052321
13. V. Kostak, G. M. Nikolopoulos, and I. Jex, Phys. Rev. A 75, 042319 (2007). 10.1103/PhysRevA.75.042319
14. M. A. Jafarizadeh and R. Sufiani, Phys. Rev. A 77, 022315 (2008). 10.1103/PhysRevA.77.022315
15. C. Di Franco, M. Paternostro, D. I. Tsomokos, and S. F. Huelga, Phys. Rev. A 77, 062337 (2008). 10.1103/PhysRevA.77.062337
16. H. S. M. Coxeter, Regular Polytopes, 3rd ed. (Dover, New York, 1973).
17. N. Saxena, S. Severini, and I. E. Shparlinski, Int. J. Quantum Inf. 5, 417 (2007). 10.1142/S0219749907002918
18. M-H. Yung and S. Bose, Phys. Rev. A 71, 032310 (2005). 10.1103/PhysRevA.71.032310
19. See M. Babinet, C. R. Hebd. Seances Acad. Sci. 4, 638 (1837) for the original reference.
20. This result is featured in most classical optics textbooks, for instance, see G. Brooker Modern Classical Optics, Oxford Master Series in Atomic, Optical, and Lasr Physics Vol. 8 (Oxford University Press, Oxford, 2003), pp. 49-50.
21. M. Mohseni, P. Rebentrost, S. Lloyd, and A. Aspuru-Guzik, J. Chem. Phys. 129, 174106 (2008); 10.1063/1.3002335
22. P. Rebentrost, M. Mohseni, and A. Aspuru-Guzik, e-print arXiv:0806.4725;
23. P. Rebentrost, M. Mohseni, I. Kassal, S. Lloyd, and A. Aspuru-Guzik, e-print arXiv:0807.0929.
24. M. B. Plenio and S. F. Huelga, New J. Phys. 10, 113019 (2008). 10.1088/1367-2630/10/11/113019
25. S. Bose, A. Casaccino, S. Mancini, and S. Severini, e-print arXiv:0808.0748v1.