Communication at the quantum speed limit along a spin chain

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 2, 2010, Pages

  Murphy, Michael ^a   Montangero, Simone ^a   Giovannetti, Vittorio ^b   Calarco, Tommaso ^a  

^a UNIVERSITY OF ULM   (Germany)

^b SCUOLA NORMALE SUPERIORE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EXPERIMENTAL APPLICATION; HEISENBERG; MANY-BODY QUANTUM SYSTEMS; OPTIMAL CONTROLS; ORDERS OF MAGNITUDE; PARABOLIC MAGNETIC FIELDS; PHYSICAL LIMITS; PROPAGATION RATE; QUANTUM CHANNEL; QUANTUM COMMUNICATION; SINGLE EXCITATION; SPEED LIMIT; SPIN CHAINS;

CONTROL; MAGNETIC FIELD EFFECTS; OPTIMIZATION; QUANTUM ELECTRONICS; QUANTUM OPTICS;

SPIN DYNAMICS;

EID: 77956241908     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.022318     Document Type: Article

References (50)

1. V. Balachandran and J. Gong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.012303 77, 012303 (2008).
2. S. Bose, Contemp. Phys. CTPHAF 0010-7514 10.1080/00107510701342313 48, 13 (2007).
3. O. Romero Isart, K. Eckert, and A. Sanpera, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.050303 75, 050303 (R) (2007).
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. V. Subrahmanyam, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.034304 69, 034304 (2004).
6. S. Bose, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.207901 91, 207901 (2003).
7. A. Kay, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.032306 73, 032306 (2006).
8. D. Burgarth, K. Maruyama, M. Murphy, S. Montangero, T. Calarco, F. Nori, and M. B. Plenio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.040303 81, 040303 (R) (2010).
9. D. Burgarth, V. Giovannetti, and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062327 75, 062327 (2007).
10. V. Giovannetti and D. Burgarth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.030501 96, 030501 (2006).
11. T. Calarco, U. Dorner, P. S. Julienne, C. J. Williams, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.012306 70, 012306 (2004).
12. S. Montangero, T. Calarco, and R. Fazio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.170501 99, 170501 (2007).
13. G. De Chiara, T. Calarco, M. Anderlini, S. Montangero, P. J. Lee, B. L. Brown, W. D. Phillips, and J. V. Porto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.052333 77, 052333 (2008).
14. T. Schulte-Herbrüggen, A. Spörl, N. Khaneja, and S. J. Glaser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042331 72, 042331 (2005).
15. N. Khaneja, T. Reiss, C. Kehlet, T. Schulte-Herbrüggen, and S. J. Glaser, J. Magn. Reson. JMARF3 1090-7807 10.1016/j.jmr.2004.11.004 172, 296 (2005).
16. M. Grace, C. Brif, H. Rabitz, I. A. Walmsley, R. L. Kosut, and D. A. Lidar, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/40/9/S06 40, S103 (2007).
17. V. Nebendahl, H. Häffner, and C. F. Roos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.012312 79, 012312 (2009).
18. A. Spörl, T. Schulte-Herbrüggen, S. J. Glaser, V. Bergholm, M. J. Storcz, J. Ferber, and F. K. Wilhelm, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.012302 75, 012302 (2007).
19. S. Schirmer, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340802344933 56, 831 (2009).
20. R. Nigmatullin and S. G. Schirmer, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/10/105032 11, 105032 (2009).
21. C. M. Tesch and R. de Vivie-Riedle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.157901 89, 157901 (2002).
22. S. E. Sklarz and D. J. Tannor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.053619 66, 053619 (2002).
23. D. J. Tannor, V. A. Kazakov, and V. Orvlov, in Time-Dependent Quantum Molecular Dynamics, edited by, J. Broeckhove, and, L. Lathouwers, (Plenum Press, New York, 1992), pp. 347-360 J;
24. J. Somloi, V. A. Kazakov, and D. J. Tannor, Chem. Phys. CMPHC2 0301-0104 10.1016/0301-0104(93)80108-L 172, 85 (1993);
25. J. P. Palao and R. Kosloff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.188301 89, 188301 (2002);
26. J. P. Palao and R. Kosloff, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.062308 68, 062308 (2003).
27. S. G. Schirmer and P. J. Pemberton-Ross, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.030301 80, 030301 (R) (2009).
28. M.-H. Yung, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.030303 74, 030303 (R) (2006).
29. V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052109 67, 052109 (2003);
30. V. Giovannetti, S. Lloyd, and L. Maccone, J. Opt. B 1464-4266 10.1088/1464-4266/6/8/028 6, S807 (2004).
31. P. Pfeifer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.3365 70, 3365 (1993).
32. S. Lloyd, Nature (London) NATUAS 0028-0836 10.1038/35023282 406, 1047 (2000).
33. T. Caneva, M. Murphy, T. Calarco, R. Fazio, S. Montangero, V. Giovannetti, and G. E. Santoro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.240501 103, 240501 (2009).
34. A. Carlini, A. Hosoya, T. Koike, and Y. Okudaira, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.060503 96, 060503 (2006);
35. A. Carlini, A. Hosoya, T. Koike, and Y. Okudaira, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.042308 75, 042308 (2007).
36. N. Khaneja, R. Brockett, and S. J. Glaser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.032308 63, 032308 (2001).
37. N. Khaneja, S. J. Glaser, and R. Brockett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032301 65, 032301 (2002).
38. T. O. Reiss, N. Khaneja, and S. J. Glaser, J. Magn. Reson. JMARF3 1090-7807 10.1016/S1090-7807(03)00245-3 165, 95 (2003).
39. R. Fisher, H. Yuan, A. Spörl, and S. Glaser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.042304 79, 042304 (2009).
40. D. Burgarth and S. Bose, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/135 7, 135 (2005).
41. D. Burgarth and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052315 71, 052315 (2005).
42. D. Burgarth, V. Giovannetti, and S. Bose, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/30/013 38, 6793 (2005).
43. J. Crank and P. Nicolson, Adv. Comput. Math. ACMHEX 1019-7168 10.1007/BF02127704 6, 207 (1996).
44. L. B. Levitin and T. Toffoli, "The fundamental limit on the rate of quantum dynamics: the unified bound is tight," (2009), e-print arXiv: 0905.3417.
45. P. Busch, Time in Quantum Mechanics (Springer, New York, 2008), Chap. 3.
46. G. Gualdi, V. Kostak, I. Marzoli, and P. Tombesi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.022325 78, 022325 (2008).
47. E. H. Lieb and D. W. Robinson, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01645779 28, 251 (1972);
48. D. W. Robinson, The ANZIAM Journal JAMMDU 0334-2700 10.1017/ S0334270000001260 19, 387 (1976).
49. S. Bravyi, M. B. Hastings, and F. Verstraete, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.050401 97, 050401 (2006).
50. A. Hamma, F. Markopoulou, I. Prémont-Schwarz, and S. Severini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.017204 102, 017204 (2009).