Quantum speed limit for non-Markovian dynamics

Physical Review Letters

Volumn 111, Issue 1, 2013, Pages

  Deffner, Sebastian ^a   Lutz, Eric ^b,c  

^a Bldg 142   (United States)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

^c UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EVOLUTION TIME; NON-MARKOVIAN DYNAMICS; NON-MARKOVIAN EFFECTS; OPEN QUANTUM SYSTEMS; QUANTUM EVOLUTION; SPEED LIMIT; SPEED UP;

QUANTUM OPTICS;

QUANTUM ELECTRONICS;

EID: 84879950162     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.111.010402     Document Type: Article

References (46)

1. J. D. Bekenstein, Phys. Rev. Lett. 46, 623 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.46.623
2. S. Lloyd, Nature (London) 406, 1047 (2000). NATUAS 0028-0836 10.1038/35023282
3. V. Giovanetti, S. Lloyd, and L. Maccone, Nat. Photonics 5, 222 (2011). NPAHBY 1749-4885 10.1038/nphoton.2011.35
4. S. Deffner and E. Lutz, Phys. Rev. Lett. 105, 170402 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.170402
5. T. Caneva, M. Murphy, T. Calarco, R. Fazio, S. Montangero, V. Giovannetti, and G. E. Santoro, Phys. Rev. Lett. 103, 240501 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.240501
6. G. N. Fleming, Nuovo Cimento A 16, 232 (1973). NCIAAT 0369-3546 10.1007/BF02819419
7. K. Bhattacharyya, J. Phys. A 16, 2993 (1983). JPHAC5 0305-4470 10.1088/0305-4470/16/13/021
8. J. Anandan and Y. Aharonov, Phys. Rev. Lett. 65, 1697 (1990). PRLTAO 0031-9007 10.1103/PhysRevLett.65.1697
9. L. Vaidman, Am. J. Phys. 60, 182 (1992). AJPIAS 0002-9505 10.1119/1.16940
10. J. Uffink, Am. J. Phys. 61, 935 (1993). AJPIAS 0002-9505 10.1119/1.17368
11. D. C. Brody, J. Phys. A 36, 5587 (2003). JPHAC5 0305-4470 10.1088/0305-4470/36/20/314
12. L. Mandelstam and I. Tamm, J. Phys. (USSR) 9, 249 (1945).
13. N. Margolus and L. B. Levitin, Physica (Amsterdam) 120D, 188 (1998). PDNPDT 0167-2789 10.1016/S0167-2789(98)00054-2
14. V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. A 67, 052109 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.67.052109
15. P. Jones and P. Kok, Phys. Rev. A 82, 022107 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82.022107
16. M. Zwierz, Phys. Rev. A 86, 016101 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.86.016101
17. S. Deffner and E. Lutz, arXiv:1104.5104.
18. P. Pfeifer, Phys. Rev. Lett. 70, 3365 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.70.3365
19. P. Pfeifer and J. Fröhlich, Rev. Mod. Phys. 67, 759 (1995). RMPHAT 0034-6861 10.1103/RevModPhys.67.759 (Pubitemid 126031142)
20. M. M. Taddei, B. M. Escher, L. Davidovich, and R. L. de Matos Filho, Phys. Rev. Lett. 110, 050402 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110. 050402
21. A. del Campo, I. L. Egusquiza, M. B. Plenio, and S. F. Huelga, Phys. Rev. Lett. 110, 050403 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.050403
22. J. von Neumann, Tomsk Univ. Rev. 1, 286 (1937).
23. L. Mirsky, Monatshefte für Math. 79, 303 (1975). 0026-9255 10.1007/BF01647331
24. R. D. Grigorieff, Mathematische Nachrichten 151, 327 (1991). MTMNAQ 0025-584X 10.1002/mana.19911510122
25. H.-P. Breuer, J. Phys. B 45, 154001 (2012). JPAPEH 0953-4075 10.1088/0953-4075/45/15/154001
26. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2007).
27. S. F. Huelga, A. Rivas, and M. B. Plenio, Phys. Rev. Lett. 108, 160402 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.160402
28. A. Ishizaki and G. R. Fleming, Proc. Natl. Acad. Sci. U.S.A. 106, 17 255 (2009). PNASA6 0027-8424 10.1073/pnas.0908989106
29. A. W. Chin, S. F. Huelga, and M. B. Plenio, Phys. Rev. Lett. 109, 233601 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.233601
30. R. Schmidt, A. Negretti, J. Ankerhold, T. Calarco, and J. T. Stockburger, Phys. Rev. Lett. 107, 130404 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107. 130404
31. B.-H. Liu, L. Li, Y.-F. Huang, C.-F. Li, G.-C. Guo, E.-M. Laine, H.-P. Breuer, and J. Piilo, Nat. Phys. 7, 931 (2011). NPAHAX 1745-2473 10.1038/nphys2085
32. J.-S. Tang, C.-F. Li, Y.-L. Li, X.-B. Zou, G.-C. Guo, H.-P. Breuer, E.-M. Laine, and J. Piilo, Europhys. Lett. 97, 10 002 (2012). EULEEJ 0295-5075 10.1209/0295-5075/97/10002
33. R. Jozsa, J. Mod. Opt. 41, 2315 (1994). JMOPEW 0950-0340 10.1080/09500349414552171
34. D. J. C. Bures, Trans. Am. Math. Soc. 135, 199 (1969). 0002-9947 10.1090/S0002-9947-1969-0236719-2
35. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
36. R. Bhatia, Matrix Analysis (Springer, Berlin, 1997).
37. B. Simon, Trace Ideals and Their Applications (Springer, Berlin, 2005).
38. H.-P. Breuer, B. Kappler, and F. Petruccione, Phys. Rev. A 59, 1633 (1999). PLRAAN 1050-2947 10.1103/PhysRevA.59.1633
39. B. M. Garraway, Phys. Rev. A 55, 2290 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.55.2290
40. K. H. Madsen, S. Ates, T. Lund-Hansen, A. Löffler, S. Reitzenstein, A. Forchel, and P. Lodahl, Phys. Rev. Lett. 106, 233601 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.233601
41. M. M. Wolf, J. Eisert, T. S. Cubitt, and J. I. Cirac, Phys. Rev. Lett. 101, 150402 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.150402
42. H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. 103, 210401 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.210401
43. E. M. Laine, J. Piilo, and H.-P. Breuer, Phys. Rev. A 81, 062115 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.062115
44. Z. Y. Xu, W. L. Yang, and M. Feng, Phys. Rev. A 81, 044105 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.044105
45. S. C. Hou, X. X. Yi, S. X. Yu, and C. H. Oh, Phys. Rev. A 83, 062115 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.83.062115
46. E. Andersson, J. D. Cresser, and M. J. W. Hall, arXiv:1009.0845.