Asymptotic evolution of random unitary operations

Central European Journal of Physics

Volumn 8, Issue 6, 2010, Pages 1001-1014

  Novotný, Jaroslav ^a,b   Alber, Gernot ^a   Jex, Igor ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

asymptotic evolution; attractor; iterations; open dynamics; random unitary map

Indexed keywords

EID: 77956426443     PISSN: 18951082     EISSN: 16443608     Source Type: Journal    
DOI: 10.2478/s11534-010-0018-8     Document Type: Article

References (18)

1. S. Stenholm, K.-A. Suominen, Quantum Approach to Informatics (Wiley, New Jersey, 2005).
2. M. E. J. Newman, SIAM Rev. 45, 167 (2003).
3. R. Albert, A. L. Barabasi, Rev. Mod. Phys. 74, 47 (2002).
4. D. T. Finkbeiner II, Introduction to Matrices and Linear Transformations (Freeman, San Francisco, 1978).
5. A. Lozinski, K. Życzkowski, W. Słomczyński, Phys. Rev. E 68, 046110 (2003).
6. A. Baraviera, C. F. Lardizabal, A. O. Lopes, M. T. Cunha, arXiv: 0911. 0182v2.
7. J. Novotný, G. Alber, I. Jex, J. Phys. A-Math. Theor. 42, 282003 (2009).
8. A. S. Holevo, Statistical Structure of Quantum Theory (Springer, Berlin, 2001).
9. R. Alicki, K. Lendi, Quantum Dynamical Semigroups and Applications (Springer-Verlag, Berlin, 1987).
10. I. Bengtsson, K. Życzkowski, Geometry of Quantum States (Cambridge UP, Cambridge, 2006).
11. R. Bhatia, Positive Definite Matrices (Princeton UP, Princeton, 2007).
12. W. Bruzda, V. Cappellini, H.-J. Sommers, K. Życzkowski, Phys. Lett. A 373, 320 (2009).
13. J. A. Holbrook, D. W. Kribs, R. Laflamme, Quantum Inf. Process 2, 381 (2004).
14. D. W. Kribs, P. Edinburgh Math. Soc. (Series 2) 46, 421 (2003).
15. E. Knill, R. Laflamme, L. Viola, Phys. Rev. Lett. 84, 2525 (2000).
16. M. Hamermesh, Group Theory and Its Application to Physical problems (Dover Publications, New York, 1989).
17. P. Facchi, D. A. Lidar, S. Pascazio, Phys. Rev. A 69, 032314 (2004).
18. G. Toth, J. J. G.-Ripoll, arXiv: quant-ph/0609052v3.