Quantum simulation via filtered Hamiltonian engineering: Application to perfect quantum transport in spin networks

Physical Review Letters

Volumn 110, Issue 22, 2013, Pages

  Ajoy, Ashok ^a   Cappellaro, Paola ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLING STRENGTHS; ENGINEERING METHODS; EXPERIMENTAL PARAMETERS; NATURALLY OCCURRING; QUANTUM INFORMATION; QUANTUM SIMULATIONS; QUANTUM TRANSPORT; SPATIAL MODULATIONS;

COMPLEX NETWORKS; COMPUTER SIMULATION; ENGINEERING; QUANTUM CHEMISTRY; QUANTUM ELECTRONICS; QUANTUM OPTICS;

HAMILTONIANS;

EID: 84878348252     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.110.220503     Document Type: Article

References (47)

1. S. Schirmer, in Lagrangian and Hamiltonian Methods for Nonlinear Control 2006, Lecture Notes in Control and Information Sciences Vol. 366 (Springer, New York, 2007) p. 293.
2. F. Verstraete, M. M. Wolf, and J. I. Cirac, Nat. Phys. 5, 633 (2009). NPAHAX 1745-2473 10.1038/nphys1342
3. F. Ticozzi and L. Viola, Automatica 45, 2002 (2009). ATCAA9 0005-1098 10.1016/j.automatica.2009.05.005
4. B. Kraus, H. P. Büchler, S. Diehl, A. Kantian, A. Micheli, and P. Zoller, Phys. Rev. A 78, 042307 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.78. 042307
5. D. P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley, Nature (London) 408, 339 (2000). NATUAS 0028-0836 10.1038/35042541
6. P. Cappellaro and M. D. Lukin, Phys. Rev. A 80, 032311 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.80.032311
7. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.2417
8. A. Ajoy, G. A. Álvarez, and D. Suter, Phys. Rev. A 83, 032303 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.83.032303
9. M. J. Biercuk, A. C. Doherty, and H. Uys, J. Phys. B 44, 154002 (2011). JPAPEH 0953-4075 10.1088/0953-4075/44/15/154002
10. R. P. Feynman, Int. J. Theor. Phys. 21, 467 (1982). IJTPBM 0020-7748 10.1007/BF02650179
11. J. I. Cirac and P. Zoller, Nat. Phys. 8, 264 (2012). NPAHAX 1745-2473 10.1038/nphys2275
12. A. Ajoy, R. K. Rao, A. Kumar, and P. Rungta, Phys. Rev. A 85, 030303 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.030303
13. R. Blatt and C. F. Roos, Nat. Phys. 8, 277 (2012). NPAHAX 1745-2473 10.1038/nphys2252
14. S. Lloyd, Science 273, 1073 (1996). SCIEAS 0036-8075 10.1126/science.273. 5278.1073
15. M. Suzuki, Phys. Lett. A 146, 319 (1990). PYLAAG 0375-9601 10.1016/0375-9601(90)90962-N
16. J. Simon, W. S. Bakr, R. Ma, M. E. Tai, P. M. Preiss, and M. Greiner, Nature (London) 472, 307 (2011). NATUAS 0028-0836 10.1038/nature09994
17. R. Kashyap, Fiber Bragg Gratings (Academic, New York, 1999).
18. J. Waugh, L. Huber, and U. Haeberlen, Phys. Rev. Lett. 20, 180 (1968). PRLTAO 0031-9007 10.1103/PhysRevLett.20.180
19. U. Haeberlen, High Resolution NMR in Solids: Selective Averaging (Academic, New York, 1976).
20. P. Mansfield and P. Grannell, J. Phys. C 6, L422 (1973). JPSOAW 0022-3719 10.1088/0022-3719/6/22/007
21. P. Mansfield and P. Grannell, Phys. Rev. B 12, 3618 (1975). PRBMDO 0556-2805 10.1103/PhysRevB.12.3618
22. W. S. Warren, S. Sinton, D. P. Weitekamp, and A. Pines, Phys. Rev. Lett. 43, 1791 (1979). PRLTAO 0031-9007 10.1103/PhysRevLett.43.1791
23. A. K. Paravastu and R. Tycko, J. Chem. Phys. 124, 194303 (2006). JCPSA6 0021-9606 10.1063/1.2192516 (Pubitemid 43782009)
24. G. A. Álvarez, M. Mishkovsky, E. P. Danieli, P. R. Levstein, H. M. Pastawski, and L. Frydman, Phys. Rev. A 81, 060302 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.060302
25. S. Bose, Phys. Rev. Lett. 91, 207901 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.207901
26. M. Christandl, N. Datta, A. Ekert, and A. J. Landahl, Phys. Rev. Lett. 92, 187902 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.187902
27. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.110.220503 for more details on the phasor representation, filter apodization, and grating selectivity.
28. J. Baum, M. Munowitz, A. N. Garroway, and A. Pines, J. Chem. Phys. 83, 2015 (1985). JCPSA6 0021-9606 10.1063/1.449344
29. D. Suter, S. Liu, J. Baum, and A. Pines, Chem. Phys. 114, 103 (1987). CMPHC2 0301-0104 10.1016/0301-0104(87)80023-X
30. P. Cappellaro, L. Viola, and C. Ramanathan, Phys. Rev. A 83, 032304 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.83.032304
31. N. Y. Yao, L. Jiang, A. V. Gorshkov, Z.-X. Gong, A. Zhai, L.-M. Duan, and M. D. Lukin, Phys. Rev. Lett. 106, 040505 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.040505
32. A. Ajoy and P. Cappellaro, Phys. Rev. A 85, 042305 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.042305
33. A. Ajoy and P. Cappellaro, Phys. Rev. B 87, 064303 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.064303
34. P. Cappellaro, C. Ramanathan, and D. G. Cory, Phys. Rev. Lett. 99, 250506 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.250506
35. G. S. Boutis, P. Cappellaro, H. Cho, C. Ramanathan, and D. G. Cory, J. Magn. Reson. 161, 132 (2003). JMARF3 1090-7807 10.1016/S1090-7807(03)00010-7
36. E. Vinogradov, P. Madhu, and S. Vega, Chem. Phys. Lett. 314, 443 (1999). CHPLBC 0009-2614 10.1016/S0009-2614(99)01174-4
37. M. H. Levitt, J. Chem. Phys. 128, 052205 (2008). JCPSA6 0021-9606 10.1063/1.2831927 (Pubitemid 351598411)
38. P. Cappellaro, C. Ramanathan, and D. G. Cory, Phys. Rev. A 76, 032317 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.032317 (Pubitemid 47429326)
39. G. Kaur and P. Cappellaro, New J. Phys. 14, 083005 (2012). NJOPFM 1367-2630 10.1088/1367-2630/14/8/083005
40. W. Zhang and D. G. Cory, Phys. Rev. Lett. 80, 1324 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.1324
41. Y. Rumala, BS thesis (CUNY, New York) (2006).
42. H. J. Mamin, C. T. Rettner, M. H. Sherwood, L. Gao, and D. Rugar, Appl. Phys. Lett. 100, 013102 (2012). APPLAB 0003-6951 10.1063/1.3673910
43. C. Ramanathan, P. Cappellaro, L. Viola, and D. G. Cory, New J. Phys. 13, 103015 (2011). NJOPFM 1367-2630 10.1088/1367-2630/13/10/103015
44. M. H. Levitt, Prog. Nucl. Magn. Reson. Spectrosc. 18, 61 (1986). PNMRAT 0079-6565 10.1016/0079-6565(86)80005-X
45. N. Y. Yao, A. V. Gorshkov, C. R. Laumann, A. M. Läuchli, J. Ye, and M. D. Lukin, Phys. Rev. Lett. 110, 185302 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.185302
46. M. Saffman, T. G. Walker, and K. Mølmer, Rev. Mod. Phys. 82, 2313 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.2313
47. H. Weimer, M. Muller, I. Lesanovsky, P. Zoller, and H. P. Buchler, Nat. Phys. 6, 382 (2010). NPAHAX 1745-2473 10.1038/nphys1614