Geometric quantum computation on solid-state qubits

Journal of Physics Condensed Matter

Volumn 15, Issue 46, 2003, Pages 7823-7833

  Choi, Mahn Soo ^a  

^a Korea University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; DATA PROCESSING; HAMILTONIANS; JOSEPHSON JUNCTION DEVICES; NONLINEAR EQUATIONS; QUANTUM ELECTRONICS;

NON ABELIAN HOLONOMIC OPERATIONS; QUANTUM COMPUTATION; QUANTUM INFORMATION PROCESSING; SOLID STATE QUANTUM COMPUTERS; SOLID STATE QUBITS;

QUANTUM THEORY;

EID: 0345118154     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/15/46/001     Document Type: Article

References (34)

1. Averin D V, Ruggiero B and Silvestrini P (ed) 2001 Macroscopic Quantum Coherence and Quantum Computing (New York: Kluwer-Academic)
2. Zanardi P and Rasetti M 1999 Phys. Lett. A 264 94
3. Pachos J, Zanardi P and Rasetti M 2000 Phys. Rev. A 61 010305(R)
4. Pachos J and Zanardi P 2001 Int. J. Mod. Phys. B 15 1257
5. Preskill J 1999 Introduction to Quantum Computation and Information ed H-K Lo, S Popescu and T Spiller (Singapore: World Scientific) p 154
6. Ellinas D and Pachos J 2001 Phys. Rev. A 64 022310
7. Wilczek F and Zee A 1984 Phys. Rev. Lett. 52 2111
8. Jones J A, Vedral V, Ekert A and Castagnoli G 2000 Nature 403 869
9. Falci G, Fazio R, Palma G M, Siewert J and Vedral V 2000 Nature 407 355
10. Pachos J and Chountasis S 2000 Phys. Rev. A 62 052318
11. Duan L-M, Cirac J I and Zoller P 2001 Science 292 1695
12. Makhlin Y, Schön G and Shnirman A 1999 Nature 398 305
13. Nakamura Y, Pashkin Y A and Tsai J S 1999 Nature 398 786
14. In this paper, we consider only Josephson charge quibits. There is literature which discusses Josephson phase qubits; see, e.g., Mooij J E, Orlando T P, Levitov L, Tian L, van der Wal C H and Lloyd S 1999 Science 285 1036
15. Vion D, Aassime A, Cottet A, Joyez P, Pothier H, Urbina C, Esteve D and Devoret M H 2002 Science 296 886
16. Strauch F W, Johnson P R, Dragt A J, Lobb C J, Anderson J R and Wellstood F C 2003 Preprint quant-ph/0303002
17. Tinkham M, 1996 Introduction to Superconductivity 2nd edn (New York: McGraw-Hill)
18. Lloyd S 1995 Phys. Rev. Lett. 75 346
19. Berry M V 1984 Proc. R. Soc. A 392 45
20. Choi M-S, Choi M Y, Choi T and Lee S-I 1998 Phys. Rev. Lett. 81 4240
21. Shimada H and Delsing P 2000 Phys. Rev. Lett. 85 3253
22. Averin D V, Korotkov A N and Nazarov Y V 1991 Phys. Rev. Lett. 66 2818
23. Matters M, Versluys J J and Mooij J E 1997 Phys. Rev. Lett. 78 2469
24. Messiah A 1961 Quantum Mechanics vol 2 (Amsterdam: North-Holland)
25. Precisely, the estimation P ∼ exp (- π Δ/η) is valid for Landau-Zener tunnelling between nondegenerate levels. In many cases, however, this gives a good estimates also for degenerate levels. See, e.g., Demkov Yu N and Ostrovsky V N 2001 J. Phys. B: At. Mol. Opt. Phys. 34 2419 and references therein
26. Berry M V 1990 Proc. R. Soc. A 430 405
27. Hwang J-T and Pechukas P 1977 J. Chem. Phys. 67 4640
28. Dykhne A M 1961 Zh. Eksp. Teor. Fiz. 41 1324
29. Dykhne A M 1962 Sov. Phys.-JETP 14 941 (Engl. Transl.)
30. Zener C 1932 Proc. R. Soc. A 137 696
31. Fazio R, Palma G M and Siewert J 1999 Phys. Rev. Lett. 83 5385
32. Schön G and Zaikin A D 1990 Phys. Rep. 198 237
33. Choi M-S, Fazio R, Siewert J and Bruder C 2001 Europhys. Lett. 53 251
34. Nakamura Y, Pashkin Yu A, Yamamoto T and Tsai J S 2002 Phys. Rev. Lett. 88 47901