Complex chaos in the conditional dynamics of qubits

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 4, 2006, Pages

  Kiss, T ^a   Jex, I ^b   Alber, G ^c   Vymetal S ^b  

^a WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

^b CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

^c DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTATIONAL COMPLEXITY; DYNAMICS; LYAPUNOV METHODS; NONLINEAR SYSTEMS; SENSITIVITY ANALYSIS;

EXPONENTIAL SENSITIVITY; LYAPUNOV EXPONENTS; QUBITS;

QUANTUM THEORY;

EID: 33749338052     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.040301     Document Type: Article

References (25)

1. H. Poincaré, Les Méthodes Nouvelles de la Méchanique Céleste (Gauthier-Villars, Paris, 1892).
2. Chaos and Quantum Physics, edited by, M.-J. Giannoni, A. Voros, and, J. Zinn-Justin, Proceedings of the Les Houches Summer School of Theoretical Physics, LII (North-Holland, Amsterdam, 1991);
3. P. Cvitanović, R. Artuso, R. Mainieri, G. Tanner, and G. Vattay, Chaos: Classical and Quantum (Niels Bohr Institute, Copenhagen 2005).
4. B. V. Chirikov, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)90011-2 33, 77 (1988);
5. M. V. Berry, in New Trends in Nuclear Collective Dynamics, edited by, Y. Abe, H. Horiuchi, and, K. Matsuyanagi, Springer Proceedings in Physics Vol. 58 (Sprigner, Berlin, 1992), pp. 183-186;
6. R. Blümel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.428 73, 428 (1994);
7. R. Schack, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.581 75, 581 (1995);
8. R. Blümel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.582 75, 582 (1995).
9. R. Schack, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/18/028 28, 5401 (1995);
10. T. Bhattacharya, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4852 85, 4852 (2000);
11. A. J. Scott and G. J. Milburn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.042101 63, 042101 (2001);
12. G. G. Carlo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.164101 95, 164101 (2005).
13. S. Habib, K. Jacobs, and K. Shizume, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.010403 96, 010403 (2006);
14. S. Habib, e-print quant-ph/0505085.
15. D. Deutsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 2818 77, 2818 (1996);
16. C. Macchiavello, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00550-7 246, 385 (1998).
17. H. Aschauer and H. J. Briegel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.032302 66, 032302 (2002).
18. H. Bechmann-Pasquinucci, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00189-3 242, 198 (1998);
19. D. R. Terno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.3320 59, 3320 (1999);
20. G. Alber, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/42/307 34, 8821 (2001).
21. P. Fatou, C. R. Hebd. Seances Acad. Sci. COREAF 0001-4036 143, 546 (1906).
22. J. W. Milnor, Dynamics in One Complex Variable (Vieweg, Wiesbaden, 2000).
23. S. Lloyd and Jean-Jacques E. Slotine, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.012307 62, 012307 (2000).
24. J. W. Milnor, Exp. Math. ZZZZZZ 1058-6458 2, 37 (1993).
25. T. Kiss, I. Jex, and G. Alber (unpublished).