Abstract
This chapter is an overview of the research on spin-based quantum dot quantum computation, which covers two most prominent architectures, one based on GaAs quantum dots, the other on phosphorus donors in Si. Particular topics include the electron spin coherence in GaAs and Si, the conditions for the Heisenberg Hamiltonian to be a satisfactory description of two-electron interaction in a GaAs double dot, the possibility of using multi-electron quantum dot for quantum computing, the implication of band structure in case of Si, schemes of spin detection, schemes to measure single electron properties in ensemble-averaged experiments, and other related issues. Current status of research in several experimental fronts that are related to quantum dot quantum computing are also discussed.
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References
D. DiVincenzo: Science 270, 255 (1995); A. Ekert, R Jozsa: Rev. Mod. Phys. 68, 733 (1996); A. Steane: Rep. Prog. Phys. 61, 117 (1998); A. Galindo, M.A. Martin-Delgado: Rev. Mod. Phys. 74, 347 (2002); I. Žutić, J. Fabian, S. Das Sarma: Rev. Mod. Phys. 76, 323 (2004)
M. Nielsen and I.L. Chuang: Quantum Computation and Quantum Information (Cambridge, Cambridge 2000)
P.W. Shor: in Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, ed. by S. Goldwasser (IEEE Computer Society, Los Alamitos, 1994), p. 124
P.W. Shor: Phys. Rev A 52, 2493 (1995); A.M. Steane: Phys. Rev. Lett. 77, 793 (1996)
J.I. Cirac, P. Zoller: Phys. Rev. Lett. 74, 4091 (1995)
C. Monroe, D.M. Meekhof, B.E. King, W.M. Itano, D.J. Wineland: Phys. Rev. Lett. 75, 4714 (1995)
T. Sleator, H. Weinfurter: Phys. Rev. Lett. 74, 4087 (1995)
Q.A. Turchette, C.J. Hood, W. Lange, H. Marbuchi, H.J. Kimble: Phys. Rev. Lett. 75, 4710 (1995)
D.G. Cory, A.F. Fahmy, T.F. Havel: Proc. Natl. Acad. Sci. U.S.A. 94, 1634 (1997); N.A. Gershenfeld, I.L. Chuang: Science 275, 350 (1997)
D. Loss, D.P. DiVincenzo: Phys. Rev. A 57, 120 (1998)
A. Imamoglu, D.D. Awschalom, G. Burkard, D.P. DiVincenzo, D. Loss, M. Sherwin, A. Small: Phys. Rev. Lett. 83, 4204 (1999)
B.E. Kane: Nature 393, 133 (1998); Fortschr. Phys. 48, 1023 (2000)
V. Privman, I.D. Vagner, G. Kventsel: Phys. Lett. A 239, 141 (1998)
R. Vrijen, E. Yablonovitch, K. Wang, H.W. Jiang, A. Balandin, V. Roychowdhury, T. Mor, D.P. DiVincenzo: Phys. Rev. A 62, 012306 (2000)
A. Shnirman, G. Schön, Z. Hermon: Phys. Rev. Lett. 79, 2371 (1997); D.V. Averin: Solid State Comm. 105, 659 (1998)
D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W.M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, D.J. Wineland: Nature 422, 412 (2003)
L.M.K. Vandersypen, M. Steffen, G. Breyta, C.S. Yannoni, M.H. Sherwood, I.L. Chuang: Nature 414, 883 (2001)
A. Barenco, D. Deutsch, A. Ekert: Phys. Rev. Lett. 74, 4083 (1995)
D.A.B. Miller, D.S. Chemla, S. Schmitt-Rink: Phys. Rev. B 33, 6976 (1986)
J.A. Brum, P. Hawrylak: Superlattices and Microstructures 22, 431 (1997)
G.D. Sanders, K.W. Kim, W.C. Holton: Phy. Rev. B 61, 7526 (2000)
T. Tanamoto: Physica B 272, 45 (1999); Phys. Rev. A 61, 022305 (2000)
L. Fedichkin, M. Yanchenko, K.A. Valiev: Nanotechnology 11, 387 (2000)
M.D. Lukin, M. Fleischhauer, R. Cote, L.M. Duan, D. Jaksch, J.I. Cirac, P. Zoller: Phys. Rev. Lett. 87, 037901 (2001)
M.S. Sherwin, A. Imamoglu, T. Montroy: Phys. Rev. A 60, 3508 (1999)
V. Bouchiat, D. Vion, P. Joyez, D. Esteve, M.H. Devoret: Phys. Scripta T 76, 165 (1998)
Y. Nakamura, Yu.A. Pashkin, J.S. Tsai: Nature 398, 786 (1999)
D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, M.H. Devoret: Science 296, 886 (2002)
T. Yamamoto, Yu.A. Pashkin, O. Astaflev, Y. Nakamura, J.S. Tsai: Nature 425, 941 (2003)
T. Hayashi, T. Fujisawa, H.D. Cheong, Y.H. Jeong, Y. Hirayama: Phys. Rev. Lett. 91, 226804 (2003)
S.R.E. Yang, J. Schliemann, A.H. MacDonald: Phys. Rev. B 66, 153302 (2002)
V. Scarola, K. Park, S. Das Sarma: Phys. Rev. Lett. 91, 167903 (2003)
P. Zanardi, F. Rossi: Phys. Rev. Lett. 81, 4752 (1998)
E. Biolatti, R.C. Iotti, P. Zanardi, F. Rossi: Phys. Rev. Lett. 85, 5647 (2000)
P.C. Chen, C. Piermarocchi, L.J. Sham: Phys. Rev. Lett. 87, 067401 (2001)
F. Troiani, U. Hohenester, E. Molinari: Phys. Stat. Sol. B 224, 849 (2001)
K.B. Brown, D.A. Lidar, K.B. Whaley: Phys. Rev. A 65, 012307 (2002)
A.P. Heberle, J.J. Baumberg, K. Köhler: Phys. Rev. Lett. 75, 2598 (1995)
N.H. Bonadeo, J. Erland, D. Gammon, D. Park, D.S. Katzer, D.G. Steel: Science 282, 1473 (1998)
M. Bayer, P. Hawrylak, K. Hinzer, S. Fafard, M. Korkusinski, Z.R. Wasilewski, O. Stern, A. Forchel: Science 291, 451 (2001)
B.E. Cole, J.B. Williams, B.T. King, M.S. Sherwin, C.R. Stanley: Nature 410, 60 (2001)
G. Chen, T. H. Stievater, E.T. Batteh, X. Li, D.G. Steel, D. Gammon, D.S. Katzer, D. Park, L.J. Sham: Phys. Rev. Lett. 88, 117901 (2002)
X. Li, Y.W. Wu, D.G. Steel, D. Gammon, T.H. Stievater, D.S. Katzer, D. Park, C. Piermarocchi, L.J. Sham: Science 301, 809 (2003)
S. Das Sarma, J. Fabian, X. Hu, I. Žutić: Solid State Commun. 119, 207 (2001); X. Hu, S. Das Sarma: Phys. Stat. Sol. (b) 238, 260 (2003)
D.P. DiVincenzo: Science 270, 255 (1995)
D. Mozyrsky, V. Privman, M. L. Glasser: Phys. Rev. Lett. 86, 5112 (2001)
C. Piermarocchi, P.C. Chen, L.J. Sham, D.G. Steel: Phys. Rev. Lett. 89, 167402 (2002)
T. Calarco, A. Datta, P. Fedichev, E. Pazy, P. Zoller: Phys. Rev. A 68, 012310 (2003)
Optical Orientation, Modern Problems in Condensed Matter Science, Vol. 8, ed by F. Meier and B.P. Zakharchenya (North Holland, Amsterdam, 1984).
J.M. Kikkawa, D.D. Awschalom: Phys. Rev. Lett. 80, 4313 (1998); Phys. Today 52 (6), 33 (1999)
D. Gammon, ALL. Efros, T.A. Kennedy, M. Rosen, D.S. Katzer, D. Park, S.W. Brown, V.L. Korenev, LA. Merkulov: Phys. Rev. Lett. 86, 5176 (2001)
Y. Kato, R.C. Myers, A.C. Gossard, D.D. Awschalom: Nature (London) 427, 50 (2004)
D.P. DiVincenzo: J. Appl. Phys. 81, 4602 (1997)
D.P. DiVincenzo: J. Appl. Phys. 85, 4785 (1999).
G. Burkard, D. Loss, D.P. DiVincenzo: Phys. Rev. B 59, 2070 (1999)
X. Hu, S. Das Sarma: Phys. Rev. A 61, 062301 (2000)
M. Friesen, P. Rugheimer, D.E. Savage, M.G. Lagally, D.W. van der Weide, R. Joynt, M.A. Eriksson: Phys. Rev. B 67, 121301 (2003)
B.E. Kane, N.S. McAlpine, A.S. Dzurak, R.G. Clark, G.J. Milburn, H.B. Sun, H. Wiseman: Phys. Rev. B 61, 2961 (2000)
X. Hu, R. de Sousa, S. Das Sarma: cond-mat/0108339. The Proceedings of the 7th International Symposium on Foundations of Quantum Mechanics in the Light of New Technology (Tokyo, Japan, 2001)
C.P. Slichter: Principles of Magnetic Resonance, 3rd ed (Springer, Berlin 1990)
A. Abragam: Principles of Nuclear Magnetism (Oxford, Oxford 1961)
P. Meystre and M. Sargent III: Elements of Quantum Optics, 2nd ed (Springer-Verlag, Berlin 1991)
M. Seek, M. Potemski, P. Wyder: Phys. Rev. B 56, 7422 (1997); H.W. Jiang, E. Yablonovitch: Phys. Rev. B 64, R.041307 (2001). See also, D. Stein, K. von Klitzing, G. Weimann: Phys. Rev. Lett. 51, 130 (1983) for an early ESR, measurement in GaAs heterostructures
M. Thorwart, P. Hanggi: Phys. Rev. A 65, 012309 (2001)
M.J. Storcz, F.K. Wilhelm: Phys. Rev. A 67, 042319 (2003)
LA. Grigorenko and D.V. Khveshchenko: Phys. Rev. Lett. 94, 040506 (2005)
J.Q. You, X. Hu, F. Nori: Phys. Rev. B 72, 144529 (2005)
A.C. Johnson, J.R, Petta, J.M. Taylor, A. Yacoby, M.D. Lukin, C.M. Marcus, M.P. Hanson, A.C. Gossard: Nature (London) 435, 925 (2005)
J. Fabian, S. Das Sarma: J. Vac. Sci. Technol. B 17, 1708 (1999)
L.A. Wu, D.A. Lidar: Phys. Rev. A 65, 042318 (2002)
L.A. Wu, D.A. Lidar: Phys. Rev. A 66, 062314 (2002)
A.V. Khaetskii, Yu.V. Nazarov: Phys. Rev. B 61, 12639 (2000); ibid. 64, 125316 (2001)
T. Fujisawa, Y. Tokura, Y. Hirayama: Phys. Rev. B 63, 081304 (2001)
T. Fujisawa, D.G. Austing, Y. Tokura, Y. Hirayama, S. Tarucha: Nature 419, 278 (2002)
R. Hanson, B. Witkamp, L.M.K. Vandersypen, L.H. Willems van Beveren, J.M. Elzerman, L.P. Kouwenhoven: Phys. Rev. Lett. 91, 196802 (2003)
H.-A. Engel, D. Loss: Phys. Rev. Lett. 86, 4648 (2001)
D. Paget, G. Lampel, B. Sapoval, V.I. Safarov: Phys. Rev. B 15, 5780 (1977)
S.I. Erlingsson, Y.V. Nazarov, V.I. Fal’ko: Phys. Rev. B 64, 195306 (2001)
R, de Sousa, S. Das Sarma: Phys. Rev. B 67, 033301 (2003); ibid. 68, 115322 (2003)
G. Bastard: Wave mechanics applied to semiconductor heterostructures (Halsted, New York 1988)
J. Schliemann, D. Loss, A.H. MacDonald: Phys. Rev. B 63, 085311 (2001)
X. Hu, S. Das Sarma: Phys. Rev. A 66, 012312 (2002)
K.V. Kavokin: Phys. Rev. B 64, 075305 (2001)
N.E. Bonesteel, D. Stepanenko, D.P. DiVincenzo: Phys. Rev. Lett. 87, 207901 (2001); G. Burkard, D. Loss: ibid 88, 047903 (2002); D. Stepanenko, N.E. Bonesteel, D.P. DiVincenzo, G. Burkard, D. Loss: Phys. Rev. B 68, 115306 (2003)
X. Hu, R. de Sousa, S. Das Sarma: Phys. Rev. Lett. 86, 918 (2001)
X. Hu, S. Das Sarma: Phys. Rev. A 68, 052310 (2003)
J.Levy: Phys. Rev. Lett. 89, 147902 (2002)
D.P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, K.B. Whaley: Nature (London) 408, 339 (2000)
D.A. Lidar, I.L. Chuang, K.B. Whaley: Phys. Rev. Lett. 81, 2594 (1998)
X. Hu, S. Das Sarma: Phys. Rev. A 64, 042312 (2001)
S. Vorojtsov, E.R. Mucciolo, H.U. Baranger: Phys. Rev. B 69, 115329 (2004)
M. Friesen, R, Joynt, M.A. Eriksson: Appl. Phys. Lett. 81, 4619 (2002)
W. Kohn, in Solid State Physics vol 5, page 257, ed. by F. Seitz and D. Turnbull (Academic, New York 1957)
K. Andres, R.N. Bhatt, P. Goalwin, T.M. Rice, R.E. Walstedt: Phys. Rev. B 24, 244 (1981)
B. Koiller, X. Hu, S. Das Sarma: Phys. Rev. Lett. 88, 027903 (2002)
B. Koiller, X. Hu, S. Das Sarma: Phys. Rev. B 66, 115201 (2002)
C.J. Wellard, L.C.L. Hollenberg, F. Parisoli, L.M. Kettle, H.-S. Goan, J.A.L. Mclntosh, D.N. Jamieson: Phys. Rev. B 68, 195209 (2003)
B. Koiller, R.B. Capaz, X. Hu, S. Das Sarma: Phys. Rev. B 70, 115207 (2004)
T.B. Boykin, G. Klimeck, M.A. Eriksson, M. Friesen, S.N. Coppersmith, P. von Allmen, F. Oyafuso, S. Lee: Appl. Phys. Lett. 84, 115 (2004)
A.A. Larionov, L.E. Fedichkin, K.A. Valiev: Nanotechnology 12, 536 (2001)
A.J. Skinner, M.E. Davenport, B.E. Kane: Phys. Rev. Lett. 90, 087901 (2003)
G.D.J. Smit, S. Rogge, J. Caro, T.M. Klapwijk: Phys. Rev. B 68, 193302 (2003)
A.S. Martins, R.B. Capaz, B. Koiller: Phys. Rev. B 69, 085320 (2004)
D. Weinmann, W. Häusler, B. Kramer: Phys. Rev. Lett. 74, 984 (1995)
M. Ciorga, M. Pioro-Ladriere, P. Zawadzki, P. Hawrylak, A.S. Sachrajda: Appl. Phys. Lett. 80, 2177 (2002)
K. Ono, D.G. Austing, Y. Tokura, S. Tarucha: Science 297, 1313 (2002)
A.K. Hüttel, H. Qin, A.W. Holleitner, R.H. Blick, K. Neumaier, D. Weinmann, K. Eberl, J.P. Kotthaus: Europhys. Lett. 62, 712 (2003)
Single Charge Tunneling, ed. by H. Grabert and M.H. Devoret (Plenum, New York 1992)
R. Schoelkopf, P. Wahlgren, A.A. Kozhevnikov, P. Delsing, D.E. Prober: Science 280, 1238 (1998)
M. Friesen, C. Tahan, R. Joynt, M.A. Eriksson: Phys. Rev. Lett. 92, 037901 (2004)
E. Pazy, T. Calarco, P. Zoller: IEEE Trans. Nanotechnol. 3, 10 (2004)
G. Prinz: Phys. Today 45 (4), 58 (1995)
P. Recher, E.V. Sukhorukov, D. Loss: Phys. Rev. Lett. 85, 1962 (2000)
H.-A. Engel, V.N. Golovach, D. Loss, L.M.K. Vandersypen, J.M. Elzerman, R. Hanson, L.P. Kouwenhoven: Phys. Rev. Lett. 93, 106804 (2004)
J.A. Sidles, J.L. Garbini, K.J. Bruland, D. Rugar, O. Züger, S. Hoen, C.S. Yannoni: Rev. Mod. Phys. 67, 249 (1995)
B. Koiller, X. Hu, H.D. Drew, S. Das Sarma: Phys. Rev. Lett. 90, 067401 (2003)
L.P. Kouwenhoven, D.G. Austing, S. Tarucha: Rep. Prog. Phys. 64, 701 (2001)
S. Das Sarma, J. Fabian, X. Hu, I. Žutić: cond-mat/0002256, IEEE Trans. Magn. 36, 2821 (2000)
G.B. Lesovik, T. Martin, G. Blatter: Euro. Phys. J. B 24, 287 (2001)
N.M. Chtchelkatchev, G. Blatter, G.B. Lesovik, T. Martin: Phys. Rev. B 66, 161320 (2002)
P. Recher, E.V. Sukhorukov, D. Loss: Phys. Rev. B 63, 165314 (2001)
P. Recher, D. Loss: Phys. Rev. B 65, 165327 (2002)
C. Bena, S. Vishveshwara, L. Balents M.P.A. Fisher: Phys. Rev. Lett. 89, 037901 (2002)
R, Ionicioiu, P. Zanardi, F. Rossi: Phys. Rev. A 63, 050101 (2001)
W.D. Oliver, F. Yamaguchi, Y. Yamamoto: Phys. Rev. Lett. 88, 037901 (2002)
D.S. Saraga, D. Loss: Phys. Rev. Lett. 90, 166803 (2003)
X. Hu, S. Das Sarma: Phys. Rev. B 69, 115312 (2004); SPIE Proceedings 5472, 107 (2004)
P. Zhang, Q.K. Xue, X.G. Zhao, X.C. Xie: Phys. Rev. A 69, 042307 (2004)
G. Burkard, D. Loss, E. Sukhorukov: Phys. Rev. B 61, R16303 (2000)
P. Samuelsson, E. V. Sukhorukov, M. Büttiker: Phys. Rev. B 70, 115330 (2004)
S. Tarucha, D.G. Austing, T. Honda, R.J. van der Hage, L.P. Kouwenhoven: Phys. Rev. Lett. 77, 3613 (1996)
T. Hatano, M. Stopa, T. Yamaguchi, T. Ota, K. Yamada, S. Tarucha: Phys. Rev. Lett. 93, 066806 (2004)
M. Ciorga, A.S. Sachrajda, P. Hawrylak, C. Gould, P. Zawadzki, S. Jullian, Y. Feng, Z. Wasilewski: Phys. Rev. B 61, R16315 (2000)
M. Pioro-Ladriere, M. Ciorga, J. Lapointe, P. Zawadzki, M. Korkusiski, P. Hawrylak, A.S. Sachrajda: Phys. Rev. Lett. 91, 026803 (2003)
J.M. Elzerman, R. Hanson, J.S. Greidanus, L.H.W. van Beveren, S. De Franceschi, L.M.K. Vandersypen, S. Tarucha, L.P. Kouwenhoven: Phys. Rev. B 67, 161308 (2003)
J.R. Petta, A.C. Johnson, C.M. Marcus, M.P. Hanson, A.C. Gossard: Phys. Rev. Lett. 93, 186802 (2004)
J.M. Elzerman, R. Hanson, L.H.W. van Beveren, L.M.K. Vandersypen, L.P. Kouwenhoven: Appl. Phys. Lett. 84, 4617 (2004)
J. M. Elzerman, R. Hanson, L.H.W. van Beveren, B. Witkamp, L.M.K. Vandersypen, L.P. Kouwenhoven: Nature 430, 431 (2004)
R. Hanson, L.H. Willems van Beveren, I.T. Vink, J.M. Elzerman, W.J.M. Naber, F.H.L. Koppens, L.P. Kouwenhoven, L.M.K. Vandersypen: Phys. Rev. Lett. 94, 196802 (2005)
I.A. Merkulov, Al.L. Efros, M. Rosen: Phys. Rev. B 65, 205309 (2002)
F. Jelezko, I. Popa, A. Gruber, C. Tietz, J. Wrachtrup, A. Nizovtsev, S. Kilin: Appl. Phys. Lett. 81, 2160 (2002)
H.J. Mamin, R. Budakian, B.W. Chui, D. Rugar: Phys. Rev. Lett. 91, 207604 (2003); D. Rugar, R. Budakian, H.J. Mamin, B.W. Chui: Nature 430, 329 (2004)
R. Budakian, H.J. Mamin, D. Rugar: Phys. Rev. Lett. 92, 037205 (2004)
D. Gammon, S.W. Brown, E.S. Snow, T.A. Kennedy, D.S. Katzer, D. Park: Science 277, 85 (1997)
R.K. Kawakami, Y. Kato, M. Hanson, I. Malajovich, J.M. Stephens, E. Johnston-Halperin, G. Sails, A.C. Gossard, D.D. Awschalom: Science 294, 131 (2001)
K. Ono, S. Tarucha: Phys. Rev. Lett. 92, 256803 (2004)
J.R. Petta, A.C. Johnson, J.M. Taylor, E.A. Laird, A. Yacoby, M.D. Lukin, C.M. Marcus, M.P. Hanson, A.C. Gossard: Science 309, 2180 (2005)
R.G. Clark, R. Brenner, T.M. Buehler, V. Chan, N.J. Curson, A.S. Dzurak, E. Gauja, H.S. Goan, A.D. Greentree, T. Hallam, A.R. Hamilton, L.C.L. Hollenberg, D.N. Jamieson, J.C. McCallum, G.J. Milburn, J.L. O’Brien, L. Oberbeck, C.I. Pakes, S.D. Prawer, D.J. Reilly, F.J. Ruess, S.R. Schofleld, M.Y. Simmons, F.E. Stanley, R.P. Starrett, C. Wellard, C. Yang: Phil. Trans. Roy. Soc. A 361, 1451 (2003)
Proceedings of the 1st International Conference on Experimental Implementation of Quantum Computation, ed. by R.G. Clark (Rinton, Princeton 2001)
M. Altarelli, W.L. Hsu, Phys. Rev. Lett. 43, 1346 (1979)
T. Schenkel, A. Persaud, S.J. Park, J. Meijer, J.R. Kingsley, J.W. McDonald, J.P. Holder, J. Bokor, D.H. Schneider: J. Vac. Sci. Technol B 20, 2819 (2002)
C.Y. Yang, D.N. Jamieson, C. Pakes, S. Prawer, A. Dzurak, F. Stanley, P. Spizziri, L. Macks, E. Gauja, R.G. Clark: Jpn. J. Appl. Phys. (part 1) 42 (6B), 4124 (2003)
J.L. O’Brien, S.R. Schofield, M.Y. Simmons, R.G. Clark, A.S. Dzurak, N.J. Curson, B.E. Kane, N.S. McAlpine, M.E. Hawley, G.W. Brown: Phys. Rev. B 64, 161401 (2001)
S.R. Schofield, N.J. Curson, M.Y. Simmons, F.J. Rueβ, T. Hallam, L. Oberbeck, R.G. Clark: Phys. Rev. Lett. 91, 136104 (2003)
V.W. Scarola, S. Das Sarma: Phys. Rev. A 71, 032340 (2005)
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Hu, X. Spin-Based Quantum Dot Quantum Computing. In: Pötz, W., Hohenester, U., Fabian, J. (eds) Quantum Coherence. Lecture Notes in Physics, vol 689. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11398448_3
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