Jarzynski equality for quantum stochastic maps

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 89, Issue 1, 2014, Pages

  Rastegin, Alexey E ^a   Ayczkowski, Karol ^b,c  

^a IRKUTSK STATE UNIVERSITY   (Russian Federation)

^b JAGIELLONIAN UNIVERSITY   (Poland)

^c CENTER FOR THEORETICAL PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84894588133     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.89.012127     Document Type: Article

References (46)

1. C. Jarzynski, Annu. Rev. Condens. Matter Phys. 2, 329 (2011). 1947-5454 10.1146/annurev-conmatphys-062910-140506
2. C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.2690
3. P. Talkner and P. Hänggi, J. Phys. A: Math. Theor. 40, F569 (2007). 1751-8113 10.1088/1751-8113/40/26/F08
4. P. Talkner, M. Campisi, and P. Hänggi, J. Stat. Mech.: Theor. Exp. (2009) P02025. 10.1088/1742-5468/2009/02/P02025
5. M. Campisi, P. Hänggi, and P. Talkner, Rev. Mod. Phys. 83, 771 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.771
6. C. M. Van Vliet, Phys. Rev. E 86, 051106 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86.051106
7. J. Kurchan, arXiv:cond-mat/0007360.
8. H. Tasaki, arXiv:cond-mat/0009244.
9. C. Jarzynski, Phys. Rev. E 56, 5018 (1997). 1063-651X 10.1103/PhysRevE.56.5018
10. G. E. Crooks, Phys. Rev. E 60, 2721 (1999). 1063-651X 10.1103/PhysRevE.60.2721
11. C. Jarzynski, J. Stat. Phys. 98, 77 (2000). JSTPBS 0022-4715 10.1023/A:1018670721277
12. U. Seifert, J. Phys. A: Math. Gen. 37, L517-L521 (2004). JPHAC5 0305-4470 10.1088/0305-4470/37/42/L04
13. E. Schöll-Paschinger and C. Dellago, J. Chem. Phys. 125, 054105 (2006). JCPSA6 0021-9606 10.1063/1.2227025
14. J. Teifel and G. Mahler, Phys. Rev. E 76, 051126 (2007). PLEEE8 1539-3755 10.1103/PhysRevE.76.051126
15. E. G. Crooks, J. Stat. Mech.: Theor. Exp. (2008) P10023. 10.1088/1742-5468/2008/10/P10023
16. D. Cohen and Y. Imry, Phys. Rev. E 86, 011111 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86.011111
17. D. N. Page, arXiv:1207.3355 [quant-ph].
18. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
19. I. Bengtsson and K. Ayczkowski, Geometry of Quantum States: An Introduction to Quantum Entanglement (Cambridge University Press, Cambridge, 2006).
20. V. Vedral, J. Phys. A: Math. Theor. 45, 272001 (2012). 1751-8113 10.1088/1751-8113/45/27/272001
21. D. Kafri and S. Deffner, Phys. Rev. A 86, 044302 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.86.044302
22. T. Albash, D. A. Lidar, M. Marvian, and P. Zanardi, Phys. Rev. E 88, 032146 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.032146
23. A. E. Rastegin, J. Stat. Mech.: Theor. Exp. (2013) P06016. 10.1088/1742-5468/2013/06/P06016
24. S. Deffner, Europhys. Lett. 103, 30001 (2013). EULEEJ 0295-5075 10.1209/0295-5075/103/30001
25. J. Liphardt, S. Dumont, S. B. Smith, I. Tinoco, and C. Bustamante, Science 296, 1832 (2002). SCIEAS 0036-8075 10.1126/science.1071152
26. D. Collin, F. Ritort, C. Jarzynski, S. B. Smith, I. Tinoco, and C. Bustamante, Nature 437, 231 (2005). NATUAS 0028-0836 10.1038/nature04061
27. F. Douarche, S. Ciliberto, A. Petrosyan, and I. Rabbiosi, Europhys. Lett. 70, 593 (2005). EULEEJ 0295-5075 10.1209/epl/i2005-10024-4
28. S. Toyabe, T. Sagawa, M. Ueda, E. Muneyuki, and M. Sano, Nat. Phys. 6, 988 (2010). 1745-2473 10.1038/nphys1821
29. O.-P. Saira, Y. Yoon, T. Tanttu, M. Möttönen, D. V. Averin, and J. P. Pekola, Phys. Rev. Lett. 109, 180601 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.180601
30. G. Huber, F. Schmidt-Kaler, S. Deffner, and E. Lutz, Phys. Rev. Lett. 101, 070403 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.070403
31. R. Dorner, S. R. Clark, L. Heaney, R. Fazio, J. Goold, and V. Vedral, Phys. Rev. Lett. 110, 230601 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110. 230601
32. L. Mazzola, G. de Chiara, and M. Paternostro, Phys. Rev. Lett. 110, 230602 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.230602
33. M. Campisi, R. Blattmann, S. Kohler, D. Zueco, and P. Hänggi, New J. Phys. 15, 105028 (2013). 10.1088/1367-2630/15/10/105028
34. J. Watrous, Theory of Quantum Information, University of Waterloo, Waterloo (2011), http://www.cs.uwaterloo.ca/~watrous/CS766/.
35. G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities (Cambridge University Press, London, 1934).
36. G. Kimura and A. Kossakowski, Open Sys. Inf. Dyn. 12, 207 (2005). 1230-1612 10.1007/s11080-005-0919-y
37. R. Bhatia, Positive Definite Matrices (Princeton University Press, Princeton, 2007).
38. K. M. Fonseca Romero, P. Talkner, and P. Hänggi, Phys. Rev. A 69, 052109 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.052109
39. A. Jamiołkowski, Rep. Math. Phys. 3, 275 (1972). RMHPBE 0034-4877 10.1016/0034-4877(72)90011-0
40. K. Ayczkowski and I. Bengtsson, Open Sys. Inf. Dyn. 11, 3 (2004). 1230-1612 10.1023/B:OPSY.0000024753.05661.c2
41. Y. Morikuni and H. Tasaki, J. Stat. Phys. 143, 1 (2011). JSTPBS 0022-4715 10.1007/s10955-011-0153-7
42. P. Talkner, E. Lutz, and P. Hänggi, Phys. Rev. E 75, 050102 (2007). PLEEE8 1539-3755 10.1103/PhysRevE.75.050102
43. B. P. Venkatesh, G. Watanabe, and P. Talkner, arXiv:1309.4139 [cond-mat.stat-mech].
44. W. Roga, Z. Puchała, Ł. Rudnicki, and K. Ayczkowski, Phys. Rev. A 87, 032308 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.87.032308
45. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996). PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2
46. C. King and M. B. Ruskai, IEEE Trans. Inf. Theory 47, 192 (2001). IETTAW 0018-9448 10.1109/18.904522