Complete positivity of a spin- 1/2 master equation with memory

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 6, 2007, Pages

  Maniscalco, Sabrina ^a  

^a UNIVERSITY OF TURKU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR EQUATIONS; SYSTEMS ANALYSIS;

DYNAMICAL MAPS; EXPONENTIAL MEMORY; MASTER EQUATIONS; SYSTEM DYNAMICS;

SPIN DYNAMICS;

EID: 34347349189     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.062103     Document Type: Article

References (23)

1. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 2000).
2. R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications (Springer, Berlin, 1987).
3. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
4. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.522979 17, 821 (1976).
5. J. Dalibard, Y. Castin, and K. Mølmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.580 68, 580 (1992).
6. R. Alicki, D. A. Lidar, and P. Zanardi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.052311 73, 052311 (2006).
7. R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.062101 65, 062101 (2002);
8. R. Alicki, M. Horodecki, P. Horodecki, R. Horodecki, L. Jacak, and P. Machnikowski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.010501 70, 010501 (R) (2004).
9. D. Ahn, J. Lee, M. S. Kim, and S. W. Hwang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.012302 66, 012302 (2002);
10. J. Lee, I. Kim, D. Ahn, M. McAneney, and M. S. Kim, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.024301 70, 024301 (2004).
11. B. M. Terhal and G. Burkard, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012336 71, 012336 (2005).
12. P. Aliferis, D. Gottesman, and J. Preskill, e-print arXiv:quant-ph/ 0504218 (to be published).
13. P. Pechukas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73. 1060 73, 1060 (1994).
14. R. Alicki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3020 75, 3020 (1995).
15. S. Daffer, K. Wodkiewicz, J. D. Cresser, and J. K. McIver, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.010304 70, 010304 (R) (2004).
16. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
17. H.-J. Briegel and B.-G. Englert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.3311 47, 3311 (1993).
18. S. Maniscalco and F. Petruccione, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012111 73, 012111 (2006);
19. S. Maniscalco and F. Petruccione, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.059905 75, 059905 (2007).
20. M. B. Ruskai, S. Szarek, and E. Werner, Linear Algebr. Appl. LAAPAW 0024-3795 10.1016/S0024-3795(01)00547-X 347, 159 (2002).
21. A. A. Budini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042107 69, 042107 (2004).
22. A. Fujiwara and P. Algoet, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.3290 59, 3290 (1999).
23. A. Shabani and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.020101 71, 020101 (R) (2005).