Perfect transfer of multiple excitations in quantum networks

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 2, 2011, Pages

  Brougham, T ^a   Nikolopoulos, G M ^b   Jex, I ^a  

^a CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

^b INSTITUTE OF ELECTRONIC STRUCTURE AND LASER   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

KEY FEATURE; MULTIPLE EXCITATIONS; PHYSICAL REALIZATION; QUANTUM NETWORK; STATE TRANSFER;

TELECOMMUNICATION NETWORKS;

QUANTUM THEORY;

EID: 79952095399     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.022323     Document Type: Article

References (30)

1. S. Bose, Contemp. Phys. CTPHAF 0010-7514 10.1080/00107510701342313 48, 13 (2007);
2. D. Burgarth, Eur. Phys. J. Spec. Top. CTPHAF 1951-6355 10.1140/epjst/e2007-00370-9 151, 147 (2007);
3. A. Kay, Int. J. Quantum Inf. 0219-7499 10.1142/S0219749910006514 8, 641 (2010).
4. M. Christandl, N. Datta, A. Ekert, and A. J. Landahl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.187902 92, 187902 (2004);
5. C. Albanese, M. Christandl, N. Datta, and A. Ekert, Phys. (Pubitemid 40072707)
6. M. Christandl, N. Datta, T. C. Dorlas, A. Ekert, A. Kay, and A. J. Landahl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032312 71, 032312 (2005). (Pubitemid 40648429)
7. R. J. Cook and B. W. Shore, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.20.539 20, 539 (1979);
8. T. Shi, Y. Li, Z. Song, and C. P. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032309 71, 032309 (2005); (Pubitemid 40648427)
9. M. B. Plenio, J. Hartley, and J. Eisert, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/6/1/036 6, 36 (2004);
10. P. Karbach and J. Stolze, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.030301 72, 030301 (2005); (Pubitemid 41776435)
11. M. H. Yung and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032310 71, 032310 (2005); (Pubitemid 40657788)
12. A. Kay, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.032306 73, 032306 (2006). (Pubitemid 43334257)
13. G. M. Nikolopoulos, D. Petrosyan, and P. Lambropoulos, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10100-9 65, 297 (2004); (Pubitemid 38169927)
14. G. M. Nikolopoulos, D. Petrosyan, and P. Lambropoulos, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/28/019 16, 4991 (2004).
15. V. Kostak, G. M. Nikolopoulos, and I. Jex, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.042319 75, 042319 (2007); (Pubitemid 46633661)
16. T. Brougham, G. M. Nikolopoulos, and I. Jex, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.052325 80, 052325 (2009).
17. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
18. When it comes to the realization of a PST Hamiltonian in a given system, one has to ensure that these assumptions are fulfilled.
19. R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, and L. M. K. Vandersypen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.79.1217 79, 1217 (2007). (Pubitemid 47534150)
20. K. Winkler, G. Thalhammer, F. Lang, R. Grimm, J. Hecker Denschlag, A. J. Daley, A. Kantian, H. P. Bchler, and P. Zoller, Nature (London) NATUAS 0028-0836 10.1038/nature04918 441, 853 (2006).
21. D. Petrosyan, B. Schmidt, J. R. Anglin, and M. Fleischhauer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.033606 76, 033606 (2007). (Pubitemid 47429359)
22. A. J. Daley, e-print arXiv: cond-mat/0608721;
23. J. Hecker Denschlag and A. J. Daley, e-print arXiv: cond-mat/0610393.
24. In the same fashion (i.e., by setting U j, j (μ, μ) → ∞), one can formally describe the Pauli principle, which does not allow two electrons with the same state to occupy the same site.
25. The actual value of the energies does not play any role in this solution, as it will give rise to an unimportant global phase.
26. D. Petrosyan, G. M. Nikolopoulos, and P. Lambropoulos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.042307 81, 042307 (2010).
27. D. S. Saraga and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.166803 90, 166803 (2003).
28. 2 ) / √ 2.
29. i, j = 0 for i ≠ j.
30. In this case, the total wave function has to be symmetric and not antisymmetric.