Superconducting quantum computing: Status and prospects

Physical Realizations of Quantum Computing: Are the Divincenzo Criteria Fulfilled in 2004?: (With CD-Rom)

Volumn , Issue , 2006, Pages 38-107

  Wilhelm, F K ^a   Semba, K ^b,c  

^a UNIVERSITY OF MUNICH   (Germany)

^b Kashino Diverse Brain Research Laboratory of NTT Communication Science Laboratories   (Japan)

^c JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING; COMPUTER SCIENCE;

JOSEPHSON; QUANTUM COMPUTING; STATUS AND PROSPECT; SUPERCONDUCTING QUANTUM BITS;

QUANTUM COMPUTERS;

EID: 84968876725     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812774705_0003     Document Type: Chapter

References (213)

1. G. Moore, Electronics 38, 114 (1965).
2. G. Moore, No Exponential is forever, Keynote Presentation International Solid State Circuits Conference, 2003.
3. I. Co., Expanding Moore’s law, Available at ftp://download.intel.com/labs/eml/download/EML_opportunity.pdf (2002).
4. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
5. J. Preskill, Quantum computation lecture notes, Available at http://www.theory.caltech.edu/people/preskill/ph219/.
6. D. DiVincenzo, Science 270, 255 (1995).
7. D. DiVincenzo, Fortschr. Phys. 48, 771 (2000).
8. R. Hughes, the ARDA Quantum Information Science, and T. Panel, A Quantum Information Science and Technology Roadmap, available at http://qist.lanl.gov.
9. W. Kaminsky, S. Lloyd, and T. Orlando, quant-ph/0403090 (unpublished).
10. L. Vandersypen et al, Nature 414, 883 (2001).
11. N. Gershenfeld and I. Chuang, Science 275, 350 (1997).
12. C. Monroe et al., Phys. Rev. Lett. 75, 4714 (1995).
13. J. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995).
14. Q. Turchette et al, Phys. Rev. Lett. 75, 4710 (1995).
15. T. Pellizzari, S. Gardiner, J. Cirac, and P. Zoller, Phys. Rev. Lett. 75, 3788 (1995).
16. E. Knill, R. Laflamme, and G. Milburn, Nature 409, 46 (2001).
17. H.-J. Briegel et al., Journal of modern optics 47, 415 (2000).
18. D. Kielpinski, C. Monroe, and D. J. Wineland, Nature 417, 709 (2002).
19. S. Sze, Semiconductor devices, physics and technology (Wiley-VCH, New York, 2001).
20. S. Thompson et al, Intel Technology Journal 6, (2002).
21. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, Oxford, 1997).
22. Mesoscopic electron transport, № E345 in Proceedings of the NATO Advanced Study Institute, edited by L. Kouwenhoven, G. Schon, and L. Sohn (Kluwer, Dordrecht, 1997).
23. A. Leggett, Progr. Theor. Phys. Suppl. 69, 80 (1980).
24. A. Leggett and A. Garg, Phys. Rev. Lett. 54, 857 (1985).
25. C. Tesche, Phys. Rev. Lett. 64, 2358 (1990).
26. K. Likharev, Usp. Fiz. Nauk. 139, 169 (1983).
27. P. Anderson, in Lectures on the Many-Body Problem, edited by E. Caianiello (Academic Press, New York, 1964), p. 113.
28. Single Charge Tunneling, № B294 in NATO ASI Series, edited by H. Grabert and M. Devoret (Plenum, New York, 1992).
29. V. Bouchiat, D. V. et P. Joyez, D. Esteve, and M. Devoret, Physica Scripta T76, 165 (1998).
30. Y. Makhlin, G. Schon, and A. Shnirman, Rev. Mod. Phys. 73, 357 (2001).
31. B. Kane, Nature 393, 133 (1998).
32. D. Loss and D. DiVincenzo, Phys. Rev. A 57, 120 (1998).
33. J. Elzerman et al., Phys. Rev. B 67, 161308 (2003).
34. R. Clark et al, Los Alamos Science 27, 284 (2002).
35. L. Vandersypen et al., in Quantum Computing and Quantum Bits in Mesoscopic Systems (Kluwer, Dordrecht, 2002), Chap. 22.
36. G. Burkhard, H. Engel, and D. Loss, Fortschr. Physik 48, 965 (2000).
37. R. Hanson et al., Phys. Rev. Lett. 94, 196802 (2005).
38. H. K. Onnes, Leiden Comm. 122b, 124 (1911).
39. J. Bardeen, L. Cooper, and J. Schrieffer, Phys. Rev. 108, 1175 (1957).
40. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996).
41. P. de Gennes, Superconductivity of metals and alloys (Benjamin, N.Y., 1966).
42. J. Schrieffer, Theory of Superconductivity (Cummings, N.Y., 1988).
43. F. London, Superfluids (Wiley and Sons, N.Y., 1954).
44. R. Doll and M. Nabauer, Phys. Rev. Lett. 7, 51 (1961).
45. L. Tian et al, in Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics (Kluwer, Dordrecht, 2000), Chap. Decoherence of the superconducting persistent current qubit, edited by I. O. Kulik and R. Ellialogulu.
46. L. Ioffe, V. Geshkenbein, C. Helm, and G. Blatter, Phys. Rev. Lett. 93, 057001 (2004).
47. B. Josephson, Phys. Lett. 1, 251 (1962).
48. A. Barone and G. Paterno, Physics and applications of the Josephson effect (Wiley, N.Y., 1982).
49. K. Likharev, Dynamics of Josephson junctions and circuits (Gordon and Breach, New York, 1986).
50. A. Golubov, M. Kupriyanov, and E. IFichev, Rev. Mod. Phys. 76, 411 (2004).
51. R. Feynman, Lectures in Physics (Addison Wesley, New York, 1970), Vol. 3.
52. L. Landau and E. Lifshitz, Statistical Physics 2 (Akademie-Verlag, Berlin, 1979).
53. S. Pereverzev et al, Nature 388, 449 (1997).
54. K. Sukhatme, Y. Mukharsky, T. Chui, and D. Pearson, Nature 411, 280 (2001).
55. B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998).
56. P. Hadley, private communication.
57. T. Orlando and K. Delin, Foundations of applied superconductivity (Prentice Hall, New York, 1991).
58. T. van Duzer and C. Turner, Principles of superconductive devices and circuits (Elsevier, Amsterdam, 1999).
59. V. Ambegaokar, U. Eckern, and G. Schon, Phys. Rev. Lett. 48, 1745 (1982).
60. J. Clarke, in Applications of Superconductivity (Kluwer, Dordrecht, 2000), Chap. Low- and High-Tc SQUIDs and Some Applications, p. 1, edited by H. Weinstock.
61. J. Niemeyer, Supercond. Sci. and Technology 13, 546 (2000).
62. J. von Delft and H. Schoeller, Ann. Phys. (Leipzig) 7, 225 (1998).
63. A. Zaikin and G. Schon, Phys. Rep. 198, 237 (1990).
64. H. van der Zant and R. Fazio, Phys. Rep. 355, 236 (2001).
65. R. Feynman and F. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).
66. G. Ingold, in Quantum transport and dissipation (Wiley-VCH, Weinheim, 1998), Chap. Dissipative quantum systems.
67. A. Caldeira and A. Leggett, Phys. Rev. Lett. 46, 211 (1981).
68. A. Caldeira and A. Leggett, Ann. Phys. (NY) 149, 374 (1983).
69. J. Martinis, S. Nam, J. Aumentado, and C. Urbina, Phys. Rev. Lett 89, 117907 (2002).
70. Y. Yu et ai, Science 286, 889 (2002).
71. A. Berkley et ai, Science 300, 1548 (2003).
72. J. Friedman et ai, Nature 46, 43 (2000).
73. J. Mooij et ai, Science 285, 1036 (1999).
74. T. P. Orlando et ai, Phys. Rev. B 60, 15398 (1999).
75. I. Chiorescu, Y. Nakamura, C. Harmans, and J. Mooij, Science 299, 1869 (2003).
76. E. Il’ichev et ai, Phys. Rev. Lett. 91, 097906 (2003).
77. Y. Nakamura, Y. Pashkin, and J. Tsai, Nature 398, 786 (1999).
78. Y. Nakamura, Y. A. Pashkin, T. Yamamoto, and J. S. Tsai, Phys. Rev. Lett. 88, 047901 (2002).
79. Y. Pashkin et ai, Nature 421, 823 (2003).
80. K. Lehnert et ai, Phys. Rev. Lett. 90, 027002 (2003).
81. D. Vion et a/., Science 296, 286 (2002).
82. L. B. Ioffe et ai, Nature 398, 679 (1999).
83. A. Blais and A. Zagoskin, Phys. Rev. A 61, 042308 (2000).
84. L. B. Ioffe et ai, Nature 398, 678 (2002).
85. G. J. Dolan, Appl. Phys. Lett. 31, 3 (1977).
86. A. Leggett, J. Phys. C 14, 415 (2002).
87. W. Diir, C. Simon, and J. Cirac, Phys. Rev. Lett. 89, 210402 (2002).
88. D. Crankshaw and T. Orlando, IEEE Trans. Appls. Supercond. 11, 1006 (2001).
89. A. van den Brink, Phys. Rev. B 71, 064503 (2005).
90. G. Burkard et al, Phys. Rev. B 71, 134504 (2005).
91. P. Bertet et al, cond-mat/0412485 (unpublished).
92. A. Leggett et al., Rev. Mod. Phys. 59, 1 (1987).
93. Y. Nakamura, Y. Pashkin, and J. Tsai, Phys. Rev. Lett. 87, 246601 (2001).
94. J. Clarke et al., Science 239, 992 (1988).
95. E. Collin et ai, Phys. Rev. Lett. 93, 157005 (2004).
96. T. Kutsuzawa et al., Appl. Phys. Lett. 87, 037501 (2005).
97. K. Harrabi, F. Yoshiwara, Y. Nakamura, and J. S. Tsai, 1T1696, poster presentation PB-F-92 in the 24th International Conference on Low Tern perature Physics (LT24), Orlando, Florida, USA, (2005). (unpublished).
98. K. Kakuyanagi, S. Saito, K. Semba, and H. Takayanagi, to be presented in the Quantum Information Technology Symposium (QIT13), Sendai, Japan, (2005). (unpublished).
99. R. Simmonds et al., Phys. Rev. Lett. 93, 077003 (2004).
100. K. B. Cooper et al., Phys. Rev. Lett. 93, 180401 (2004).
101. T. Bauch et al., Phys. Rev. Lett. 94, 087003 (2005).
102. K. Inomata et al., Phys. Rev. Lett. 95, 107005 (2005).
103. K. Ueda et al, Appl. Phy. Lett. 86, 172502 (2005).
104. H. Shimakage, K. Tsujimoto, Z. Wang, and M. Tonouchi, Appl. Phys. Lett. 86, 072512 (2005).
105. H. Tanaka et al., cond-mat/0407299 (unpublished).
106. H. Nakano et al., cond-mat/0406622 (unpublished).
107. O. Astafiev et al, Phys. Rev. B 69, 180507(R) (2004).
108. P. Bertet et al, Phys. Rev. B 70, 100501(R) (2004).
109. A. Wallraff et al, Phys. Rev. Lett. 95, 060501 (2005).
110. I. Siddiqi et al., Phys. Rev. Lett. 94, 027005 (2005).
111. A. Lupascu et al., Phys. Rev. Lett. 93, 177006 (2004).
112. T. Yamamoto et al., Nature 425, 941 (2003).
113. R. McDermott et al., Science 307, 1299 (2005).
114. I. Chiorescu et al., Nature 431, 159 (2004).
115. A. Wallraff et al., Nature 431, 162 (2004).
116. D. I. Schuster et al, Phys. Rev. Lett. 94, 123602 (2005).
117. J. Johansson et al., cond-mat/0510457 (unpublished).
118. K. Semba et al, 1T1271, poster presentation PB-F-86 in the 24th International Conference on Low Temperature Physics (LT24), Orlando, Florida, USA, (2005). (unpublished).
119. E. Hecht, Optics (Addison-Wesley, Reading, Mass., 1987).
120. A. Peres, Quantum Theory: Concept and Methods (Kluwer, Dordrecht, 1993).
121. D. Giulini et al., Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, Heidelberg, 1996).
122. W. Unruh, Phys. Rev. D40, 1053 (1989).
123. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions (Wiley Interscience, New York, 1998).
124. E. Schrodinger, Naturwissenschaften 23, 807, 823, 844 (1935).
125. V. Emery and A. Luther, Phys. Rev. B 9, 215 (1974).
126. P. Anderson, Phys. Rev. Lett. 18, 1049 (67).
127. R. J. Schoelkopf et al, in Quantum Noise, Nato ASI (Kluwer, Dordrecht, 2002), Chap. Qubits as spectrometers of quantum noise, edited by Yu.V. Nazarov and Ya.M. Blanter.
128. R. Aguado and L. Kouwenhoven, Phys. Rev. Lett. 84, 1986 (2000).
129. A. Cottet, Ph.D. thesis, Universite Paris 6, 2002.
130. J. Martinis et al., Phys. Rev. B 67, 094510 (2003).
131. C. Slichter, Principles of magnetic resonance, № 1 in Springer Series in Solid-State Sciences (Springer, Berlin, 1996).
132. M. Grifoni, E. Paladino, and U. Weiss, Eur. Phys. J B 10, 719 (1999).
133. L. Tian, S. Lloyd, and T. Orlando, Phys. Rev. B 65, 144516 (2002).
134. A. Garg, J. Onuchic, and V. Ambegaokar, J. Chem. Phys. 83, 4491 (1985).
135. A. Abragam, Principles of nuclear magnetism, Vol. 32 of International series of monographs on physics (Clarendon Press, Oxford, 1983).
136. S. Adler, Studies in history and philosophy of modern physics 34, 135 (2003).
137. S. Nakaijma, Progr. Theor. Phys. 20, 948 (1958).
138. R. Zwanzig, Phys. Rev. 124, 983 (1961).
139. P. Argyres and P. Kelley, Phys. Rev. 134, A98 (1964).
140. U. Weiss, Quantum Dissipative Systems, № 10 in Series in modern condensed matter physics, 2 ed. (World Scientific, Singapore, 1999).
141. H. Spohn, Rev. Mod. Phys. 52, 569 (1980).
142. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
143. R. Alicki and K. Lendi, Quantum dynamical semigroups and applications, № 286 in Lecture notes in physics (Springer, Berlin, 1976).
144. H. Charmichael, An open systems approach to quantum optics (Springer, Berlin, 1993).
145. C. Gardiner and P. Zoller, Quantum Noise. A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics, Springer series in synergetics (Springer, Berlin, 1999).
146. D. Loss and D. DiVincenzo, cond-mat/0304118 (unpublished).
147. F. Bloch, Phys. Rev. 105, 1206 (1957).
148. A. Redfield, IBM J Res. Develop. 1, 19 (1957).
149. M. Plenio and P. Knight, Rev. Mod. Phys. 70, 101 (1998).
150. J. Dalibard, Y. Castin, and K. Molmer, Phys. Rev. Lett. 68, 580 (1992).
151. A. Korotkov, Phys. Rev. B 67, 235408 (2003).
152. T. Costi, Phys. Rev. Lett. 80, 1038 (1998).
153. S. Kehrein and A. Mielke, J. Stat. Phys. 90, 889 (1998).
154. M. Keil and H. Schoeller, Phys. Rev. B 63, 180302 (2001).
155. A. Leggett, Phys. Rev. B 30, 1208 (1984).
156. C. van der Wal, F. Wilhelm, C. Harmans, and J. Mooij, Eur. Phys. J. B 31, 111 (2003).
157. T. Robertson et al, Phys. Rev. B 72, 024513 (2005).
158. F. K. Wilhelm, Phys. Rev. B 68, 060503(R) (2003).
159. S. K. and. S. Kehrein and J. von Delft, Phys. Rev. B 70, 014516 (2004).
160. F. Wilhelm, S. Kleff, and J. van Delft, Chem. Phys. 296, 345 (2004).
161. M. Thorwart, E. Paladino, and M. Grifoni, Chem. Phys. 296, 333 (2004).
162. M. Goorden, M. Thorwart, and M. Grifoni, Phys. Rev. Lett. 93, 267005 (2004).
163. A. Shnirman and G. Schoen, Phys. Rev. Lett. 57, 15400 (1998).
164. C. van der Wal et al., Science 290, 773 (2000).
165. P. Joyez et al, Journal of superconductivity 12, 757 (1999).
166. W. Coffey, Y. Kalmykov, and J. Waldron, The Langevin equation: With applications in physics chemistry and electrrical engineering, № 11 in Series in contemporary chemical physics (World Scientific, Singapore, 1996).
167. N. Prokovev and P. Stamp, Rep. Prog. Phys. 63, 669 (2000).
168. H. Gassmann, F. Marquardt, and C. Bruder, Phys. Rev. E66, 041111 (02).
169. E. Paladino, L. Faoro, G. Falci, and R. Fazio, Phys. Rev. Lett. 88, 228304 (2002).
170. K. Rabenstein, V. Sverdlov, and D. Averin, JETP Lett. 79, 646 (2004).
171. Y. Galperin, B. Altshuler, and D. Shantsev, in Fundamental problems of mesoscopic physics: Interaction and decoherence, NATO-ASI (Plenum, New York, 2003), Chap. Low-frequency noise as a source of dephasing a qubit.
172. A. Shnirman, Y. Makhlin, and G. Schon, Phys. Scr. T102, 147 (2002).
173. P. Dutta and P. Horn, Rev. Mod. Phys. 53, 497 (1981).
174. R. Wakai and D. van Harlingen, Phys. Rev. Lett. 58, 1687 (1987).
175. N. Zimmermann, J. Cobb, and A. Clark, Phys. Rev. B 56, 7675 (1997).
176. M. Weissman, Rev. Mod. Phys. 60, 537 (1988).
177. N. van Kampen, Stochastic processes in physics and chemistry (Elsevier, Amsterdam, 1997).
178. L. Arnold, Stochastische Differentialgleichungen (Oldenbourg, Munich, 1973).
179. L. Viola and S. Lloyd, Phys. Rev. A 58, 2733 (1998).
180. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999).
181. L. Viola, S. Lloyd, and E. Knill, Phys. Rev. Lett. 83, 4888 (1999).
182. H. Carr and E. Purcell, Phys. Rev. 94, 630 (1954).
183. H. Gutmann, F. Wilhelm, W. Kaminsky, and S. Lloyd, Quant. Inf. Proc. 3, 247 (2004).
184. G. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
185. H. Gutmann, W. Kaminsky, S. Lloyd, and F. Wilhelm, Phys. Rev. A 71, 020302(R) (2005).
186. L. Faoro and L. Viola, Phys. Rev. Lett. 92, 117905 (2004).
187. G. Falci, A. D’Arrigo, A. Mastellone, and E. Paladino, Phys. Rev. A 70, R40101 (2004).
188. J. Majer et al., Phys. Rev. Lett. 94, 090501 (2005).
189. F. Strauch et al, Phys. Rev. Lett. 91, 167005 (2003).
190. D. Averin and C. Bruder, Phys. Rev. Lett. 91, 057003 (2003).
191. J. Clarke et al., Phys. Scr. T102, 173 (2002).
192. C. Hilbert and J. Clarke, J. Low Temp. Phys. 61, 237 (1985).
193. A. Barenco, D. Deutsch, A. Ekert, and R. Josza, Phys. Rev. Lett. 74, 4083 (1995).
194. J. Zhang, J. Vala, S. Sastry, and K. Whaley, Phys. Rev. A 67, 042313 (2003).
195. Y. Makhlin, Quant. Inf. Proc. 1, 243 (2002).
196. J. You, Y. Nakamura, and F. Nori, Phys. Rev. B 71, 0242532 (2005).
197. M. Storcz and F. Wilhelm, Appl. Phys. Lett. 83, 2389 (2003).
198. L. Levitov, T. Orlando, J. Majer, and J. Mooij, cond-mat/0108266 (unpublished).
199. P. Johnson et al., Phys. Rev. B 67, 020509 (2002).
200. A. Berkley et al., Science 300, 1548 (2003).
201. H. Xu et al., Phys. Rev. Lett 94, 027003 (2005).
202. J. You, J. Tsai, and F. Nori, Phys. Rev. Lett. 89, 197902 (2002).
203. L. Wei, Y. x. Liu, and F. Nori, Europhys. Lett. 67, 1004 (2004).
204. L. Wei, Y. x. Liu, and F. Nori, Phys. Rev. B 71, 134506 (2005).
205. J. Lantz, M. Wallquist, V. Shumeiko, and G. Wendin, Phys. Rev. B 70, 140507(R) (2004).
206. J. Siewert, R. Fazio, G. Palma, and E. Sciacca, J. Low Temp. Phys. 118, 795 (2000).
207. Y. x. Liu, L. Wei, and F. Nori, Phys. Rev. A 71, 063820 (2005).
208. M. Paternostro, G. Falci, M. Kim, and G. Palma, Phys. Rev. B 69, 214502 (2004).
209. A. Spoerl et al., quant-ph/0504202 (unpublished).
210. C. Rigetti, A. Blais, and M. Devoret, Phys. Rev. Lett. 94, 240502 (2005).
211. A. Fowler, S. Devitt, and L. Hollenberg, Quant. Inf. Comp. 4, 237 (2004).
212. I. Siddiqi et al, cond-mat/0507548 (unpublished).
213. H. Tanaka, Y. Sekine, S. Saito, and H. Takayanagi, Physica C 368, 300 (2002).