Abstract
Control over electron-spin states, such as coherent manipulation, filtering and measurement promises access to new technologies in conventional as well as in quantum computation and quantum commu- nication. We review our proposal of using electron spins in quantum confined structures as qubits and discuss the requirements for implementing a quantum computer. We describe several realizations of one- and two-qubit gates and of the read-in and read-out tasks. We discuss recently proposed schemes for using a single quantum dot as spin-filter and spin-memory device. Considering electronic EPR pairs needed for quantum communication we show that their spin entanglement can be detected in meso- scopic transport measurements using metallic as well as superconducting leads attached to the dots.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. Prinz, Phys. Today 45 (4), 58 (1995);
G. A. Prinz, Science 282, 1660 (1998).
J. M. Kikkawa, I.P. Smorchkova, N. Samarth, and D. D. Awschalom, Science 277, 1284 (1997);
J. M. Kikkawa and D. D. Awschalom, Phys. Rev. Lett. 80, 4313 (1998);
D. D. Awschalom and J. M. Kikkawa, Phys. Today 52 (6), 33 (1999).
R. Fiederung et al., Nature 402, 787 (1999).
Y. Ohno et al., Nature 402, 790 (1999).
F. G. Monzon and M. L. Roukes, J. Magn. Magn. Mater. 198, 632 (1999).
S. Lüscher et al., cond-mat/0002226.
D. Loss and D. P. Divincenzo, Phys. Rev. A 57, 120 (1998); cond-mat/9701055.
A. Steane, Rep. Prog. Phys. 61, 117 (1998).
D. P. Divincenzo and D. Loss, J. Magn. Magn. Mater. 200, 202 (1999); cond-mat/9901137.
C. H. Bennett and D. P. Divincenzo, Nature 404, 247 (2000).
D. P. Divincenzo, G. Burkard, D. Loss, and E. Sukhorukov, in Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics, eds. I. O. Kulik and R. Ellialtoglu (NATO ASI, Turkey, June 13–25, 1999); see cond-mat/99112445.
P. W. Shor, in Proc. 35th Symposium on the Foundations of Computer Science, (IEEE Computer Society Press), 124 (1994).
L. K. Grover, Phys. Rev. Lett. 79, 325 (1997).
J.I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995);
C. Monroe et al., ibid.Phys. Rev. Lett. 75, 4714 (1995).
Q. A. Turchette et al., Phys. Rev. Lett. 75, 4710 (1995).
D. Cory, A. Fahmy, and T. Havel, Proc. Nat. Acad. Sci. U.S.A. 94, 1634 (1997);
N. A.Gershenfeld and I. L. Chuang, Science 275, 350 (1997).
B. Kane, Nature 393, 133 (1998).
A. Shnirman, G. Schön, and Z. Hermon, Phys. Rev. Lett. 79, 2371 (1997).
D. V. Averin, Solid State Commun. 105, 659 (1998).
L. B. Ioffe et al., Nature 398, 679 (1999).
T. P. Orlando et al., Phys. Rev. B 60, 15398 (1999).
C. H. Bennett et al., Phys. Rev. Lett. 70, 1895 (1993).
C. H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India (IEEE, NY, 1984), p. 175.
L. P. Kouwenhoven et al., Proceedings of the ASI on Mesoscopic Electron Transport, eds. L. L.Sohn, L. P. Kouwenhoven, and G. Schön (Kluwer, 1997).
S. Tarucha et al., Phys. Rev. Lett. 77, 3613 (1996).
F. R. Waugh et al., Phys. Rev. Lett. 75, 705 (1995);
C. Livermore et al., Science 274, 1332(1996).
T. H. Oosterkamp et al., Phys. Rev. Lett. 80, 4951 (1998).
R. H. Blick et al., Phys. Rev. Lett. 80, 4032 (1998);
R. H. Blick et al., Phys. Rev. Lett.ibid. 81, 689 (1998).
T. H. Oosterkamp et al., Nature 395, 873 (1998);
I. J. Maasilta and V. J. Goldman, Phys. Rev. Lett. 84, 1776 (2000).
J. A. Gupta, D. D. Awschalom, X. Peng, and A. P. Alivisatos, Phys. Rev. B 59, R10421 (1999).
A. V. KhaetskiI and Y. V. Nazarov, Phys. Rev. B 61, 12639 (2000); cond-mat/00035513.
G. Burkard, D. Loss, and D. P. Divincenzo, Phys. Rev. B 59, 2070 (1999).
A. Imamoglu et al., Phys. Rev. Lett. 83, 4204 (1999).
G. Burkard, D. Loss, D. P. Divincenzo, and J. A. Smolin, Phys. Rev. B 60, 11404 (1999).
P. W. Shor, Phys. Rev. A 52, R2493 (1995);
A. M. Steane, Phys. Rev. Lett. 77, 793 (1996);
D. P. Divincenzo and P. W. Shor,Phys. Rev. Lett. ibid. 77, 3260 (1996);
E. Knill and R. Laflamme, Phys.Rev. A 55, 900 (1997);
D. Gottesman,Phys.Rev. A ibid. 54, 1862 (1996);
E. Dennis, quant-ph/9905027.
L. Kouwenhoven and C. Marcus, private communication.
M. Dobers et al., Phys. Rev. Lett. 61, 1650 (1988).
D. C. Dixon, K. R. Wald, P. L. Mceuen, and M. R. Melloch, Phys. Rev. B 56, 4743 (1997).
P. Recher, E. V. Sukhorukov, and D. Loss, cond-mat/0003089.
R. Shankar, Principles of Quantum Mechanics, Ch. 14, Plenum Press, New York, 1994.
D. P. Divincenzo, Phys. Rev. A 51, 1015 (1995).
A. Barenco et al., Phys. Rev. A 52, 3457 (1995).
R. Vrijen et al., quant-ph/9905096.
M.-S. Choi, C. Bruder, and D. Loss, cond-mat/0001011.
G. Burkard, G. Seelig, and D. Loss, to be published in Phys. Rev. B, July 2000; cond-mat/9910105.
R. J. Luyken et al., preprint.
D. G. Austtng et al., Physica B 249–251, 206 (1998).
E. L. Ivchenko, A. A. Kiselev, and M. Willander, Solid State Comm. 102, 375 (1997).
K. Ensslin, private communication.
A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dondrecht, 1993).
M. Devoret, D. Estève, and C. Urbina, Nature (London) 360, 547 (1992).
G. D. Mahan, Many Particle Physics, 2nd Ed. (Plenum, New York, 1993).
L. P. Kouwenhoven, G. Schön, and L. L. Sohn, Mesoscopic Electron Transport, NATO ASI Series E: Applied Sciences-Vol. 345 Springer Science+Business Media Dordrecht, 1997.
D. V. Averin and Yu. V. Nazarov, in Single Charge Tunneling, eds. H. Grabert, M. H. Devoret,NATO ASI Series B: Physics Vol. 294, Plenum Press, New York, 1992.
M. Ciorga et al., cond-mat/9912446.
D. Loss and E. V. Sukhorukov, Phys. Rev. Lett. 84, 1035 (2000).
G. Burkard, D. Loss, and E. V. Sukhorukov, to be published in Phys. Rev. B, June 2000;cond-mat/9906071.
A. Aspect, J. Dalibard, and G. Roger, Phys. Rev. Lett. 49, 1804 (1982);
W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, Phys. Rev. Lett. 81, 3563 (1998).
D. Bouwmeester et al., Nature 390, 575 (1997);
D. Boscm et al., Phys. Rev. Lett. 80, 1121 (1998).
R. Loudon, Phys. Rev. A 58, 4904 (1998).
R. Hanbury Brown and R. Q. TwIss, Nature (London) 177, 27 (1956).
M. Büttiker, Phys. Rev. Lett. 65, 2901 (1990);
M. Büttiker,Phys. Rev. B 46, 12485 (1992).
T. Martin and R. Landauer, Phys. Rev. B 45, 1742 (1992).
E. V. Sukhorukov and D. Loss, Phys. Rev. B 59, 13054 (1999).
R. C. Liu, B. Odom, Y. Yamamoto, and S. Tarucha, Nature 391, 263 (1998);
M. Henny et al.,Science 284, 296 (1999);
W. D. Oliver et al., ibid., 299 (1999).
V. A. Khlus, Zh. Eksp. Teor. Fiz. 93, 2179 (1987).
J. König, H. Schoeller, and G. Schön, Phys. Rev. Lett. 78, 4482 (1997).
D. Loss and P. Goldbart, Phys. Rev. B 45, 13544 (1992).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Burkard, G., Engel, HA., Loss, D. (2002). Spintronics and Quantum Dots for Quantum Computing and Quantum Communication. In: Skjeltorp, A.T., Vicsek, T. (eds) Complexity from Microscopic to Macroscopic Scales: Coherence and Large Deviations. NATO Science Series, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0419-0_4
Download citation
DOI: https://doi.org/10.1007/978-94-010-0419-0_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0634-0
Online ISBN: 978-94-010-0419-0
eBook Packages: Springer Book Archive