Robustness against parametric noise of nonideal holonomic gates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 1, 2007, Pages

  Lupo, Cosmo ^a   Aniello, Paolo ^a   Napolitano, Mario ^a   Florio, Giuseppe ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; QUANTUM COMPUTERS; ROBUSTNESS (CONTROL SYSTEMS); SPURIOUS SIGNAL NOISE;

DECOHERENCE; FINITE OPERATIONAL TIME; NONIDEAL HOLONOMIC GATES; PARAMETRIC NOISE;

GATES (TRANSISTOR);

EID: 34547171060     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.012309     Document Type: Article

References (38)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000).
2. G. Benenti, G. Casati, and G. Strini, Principles of Quantum Computation and Information (World Scientific, Singapore, 2004).
3. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
4. 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);
5. K. Roszak, A. Grodecka, P. Machnikowski and T. Kuhn, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.195333 71, 195333 (2005).
6. D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. M. Meekhof, J. Res. Natl. Inst. Stand. Technol. JRITEF 1044-677X 103, 259 (1998).
7. P. Zanardi and M. Rasetti, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00803-8 264, 94 (1999).
8. J. Pachos, P. Zanardi, and M. Rasetti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.010305 61, 010305 (R) (1999).
9. M. Nakahara, Geometry, Topology and Physics, 2nd ed. (IOP publishing, Bristol, 2005).
10. K. B. Marathe and G. Martucci, The Mathematical Foundations of Gauge Theories (North-Holland, Amsterdam, 1992).
11. M. V. Berry, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 392, 45 (1984);
12. B. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.2167 51, 2167 (1983).
13. F. Wilczek and A. Zee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.2111 52, 2111 (1984).
14. J. Pachos and P. Zanardi, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979201004836 15, 1257 (2001).
15. T. Kato, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.5.435 5, 435 (1951).
16. Y. Aharonov and J. Anandan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.1593 58, 1593 (1987).
17. J. Anandan, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(88)91010-9 133, 171 (1988).
18. G. De Chiara and G. M. Palma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.090404 91, 090404 (2003).
19. P. Solinas, P. Zanardi, and N. Zanghì, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.042316 70, 042316 (2004).
20. S.-L. Zhu and P. Zanardi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.020301 72, 020301 (R) (2005).
21. A. Carollo, I. Fuentes-Guridi, M. F. Santos, and V. Vedral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.160402 90, 160402 (2003).
22. A. Carollo, I. Fuentes-Guridi, M. F. Santos, and V. Vedral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.020402 92, 020402 (2004).
23. I. Fuentes-Guridi, F. Girelli, and E. Livine, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.020503 94, 020503 (2005).
24. D. Parodi, M. Sassetti, P. Solinas, P. Zanardi, and N. Zanghì, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.052304 73, 052304 (2006).
25. M. S. Sarandy and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.250503 95, 250503 (2005).
26. M. S. Sarandy and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012331 71, 012331 (2005);
27. M. S. Sarandy and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.062101 73, 062101 (2006).
28. L.-A. Wu, P. Zanardi, and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.130501 95, 130501 (2005).
29. G. Florio, P. Facchi, R. Fazio, V. Giovannetti, and S. Pascazio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.022327 73, 022327 (2006).
30. A. Trullo, P. Facchi, R. Fazio, G. Florio, V. Giovannetti, and S. Pascazio, Laser Phys. LAPHEJ 1054-660X 16, 1478 (2006).
31. G. Florio, Open Syst. Inf. Dyn. OSIDFU 1230-1612 10.1007/s11080-006-9006- 2 13, 263 (2006).
32. L.-M. Duan, J. I. Cirac, and P. Zoller, Science SCIEAS 0036-8075 10.1126/science.1058835 292, 1695 (2001).
33. G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature (London) NATUAS 0028-0836 10.1038/35030052 407, 355 (2000).
34. L. Faoro, J. Siewert, and R. Fazio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.028301 90, 028301 (2003).
35. P. Solinas, P. Zanardi, N. Zanghì, and F. Rossi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.062315 67, 062315 (2003).
36. M. A. Nielsen, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02) 01272-0 303, 249 (2002);
37. M. D. Bowdrey, D. K. L. Oi, A. J. Short, K. Banaszek, and J. A. Jones, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02)00069-5 294, 258 (2002);
38. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.1888 60, 1888 (1999).