Quantum Information Processing Using Electron Spins in Quantum Dots

• Authors: G. Burkard , D. Loss
• Languages of publication: EN

Abstracts

EN

We review the theoretical proposal for quantum computing with electron spins in quantum confined structures and discuss the essential requirements for its implementation. The quantum bit is represented by the spin of the electron, as opposed to the charge (orbital) degrees of freedom. In this context, we analyze a number of physical realizations of the elementary building blocks for quantum computation: a universal set of quantum gates, state preparation and measurement. Finally, we discuss the production, transport, and detection of electronic Einstein-Podolski-Rosen pairs, which are an important resource for quantum communication.

Keywords

EN

03.67.Lx; 03.67.-a; 72.25.Rb

Discipline

• 03.67.-a: Quantum information(see also 42.50.Dv Quantum state engineering and measurements; 42.50.Ex Optical implementations of quantum information processing and transfer in quantum optics)
• 03.67.Lx: Quantum computation architectures and implementations
• 72.25.Rb: Spin relaxation and scattering

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2001
• Volume: 100
• Issue: 2
• Pages: 109-127

Dates

published

2001-08

received

2001-06-01

Contributors

author

G. Burkard

• Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland

author

D. Loss

• Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland

References

• 1. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge 2000
• 2. D.P. DiVincenzo, in Ref. [3], p. 771
• 3. Experimental Proposals for Quantum Computation, Special Focus Issue of Fortschritte der Physik, Vol. 48, Eds. S. Braunstein, H.-K. Lo, Wiley, Berlin 2000
• 4. D. Loss, D.P. DiVincenzo, Phys. Rev. A, 57, 120, 1998; http://www.arxiv.org/abs/cond-mat/9701055
• 5. D.P. DiVincenzo, Phys. Rev. A, 51, 1015, 1995
• 6. D.P. DiVincenzo, D. Loss, J. Magn. Magn. Mater., 200, 202, 1999; http://www.arxiv.org/abs/cond-mat/9901137
• 7. P. Recher, E.V. Sukhorukov, D. Loss, Phys. Rev. B, 63, 165314, 2001
• 8. G. Burkard, D. Loss, E.V. Sukhorukov, Phys. Rev. B, 61, R16303, 2000
• 9. D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, A. Zeilinger, Nature, 390, 575, 1997; D. Boschi, S. Branca, F. De Martini, L. Hardy, S. Popescu, Phys. Rev. Lett., 80, 1121, 1998
• 10. J.M. Kikkawa, I.P. Smorchkova, N. Samarth, D.D. Awschalom, Science, 277, 1284, 1997; J.M. Kikkawa, D.D. Awschalom, Phys. Rev. Lett., 80, 4313, 1998; D.D. Awschalom, J.M. Kikkawa, Phys. Today, 52, 33, 1999
• 11. J.A. Gupta, D.D. Awschalom, X. Peng, A.P. Alivisatos, Phys. Rev. B, 59, R10421, 1999
• 12. H.-A. Engel, D. Loss, Phys. Rev. Lett., 86, 4648, 2001
• 13. A.V. Khaetskii, Y.V. Nazarov, Phys. Rev. B, 61, 12639, 2000; http://www.arxiv.org/abs/cond-mat/0003513; A.V. Khaetskii, Physica E, 10, 27, 2001
• 14. G. Burkard, D. Loss, D.P. DiVincenzo, Phys. Rev. B, 59, 2070, 1999
• 15. R. Fiederling, M. Keim, G. Reuscher, W. Ossau, G. Schmidt, A. Waag, L.W. Molenkamp, Nature, 402, 787, 1999
• 16. Y. Ohno, D.K. Young, B. Beschoten, F. Matsukura, H. Ohno, D.D. Awschalom, Nature, 402, 790, 1999
• 17. P. Recher, E.V. Sukhorukov, D. Loss, Phys. Rev. Lett., 85, 1962, 2000
• 18. A. Barenco, C.H. Bennett, R. Cleve, D.P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J.A. Smolin, H. Weinfurter, Phys. Rev. A, 52, 3457, 1995
• 19. S. Tarucha, D.G. Austing, T. Honda, R.J. van der Hage, L.P. Kouwenhoven, Phys. Rev. Lett., 77, 3613, 1996
• 20. X. Hu, S. Das Sarma, Phys. Rev. A, 61, 062301, 2000
• 21. R.J. Luyken, A. Lorke, M. Haslinger, B.T. Miller, M. Fricke, J.P. Kotthaus, G. Medeiros-Ribiero, P.M. Petroff, Physica E, 2, 704, 1998
• 22. D.G. Austing, T. Honda, K. Muraki, Y. Tokura, S. Tarucha, Physica B, 249-251, 206, 1998
• 23. G. Burkard, G. Seelig, D. Loss, Phys. Rev. B, 62, 2581, 2000
• 24. D.P. DiVincenzo, G. Burkard, D. Loss, E. Sukhorukov, in: Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics, Eds. I.O. Kulik, R. Ellialtoglu, NATO ASI, Kluwer Academic Publ. Dordecht 2000, p. 399; see http://www.arxiv.org/abs/cond-mat/99112445
• 25. E.L. Ivchenko, A.A. Kiselev, M. Willander, Solid State Commun., 102, 375, 1997
• 26. K. Ensslin, private communication
• 27. D.P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, K.B. Whaley, Nature, 408, 339, 2000
• 28. M. Devoret, D. Estève, Ch. Urbina, Nature (London), 360, 547, 1992
• 29. A.K. Ekert, Phys. Rev. Lett., 67, 661, 1991
• 30. J.R. Schrieffer, Theory of Superconductivity, Benjamin/Cummings, New York 1964
• 31. F.W.J. Hekking, L.I. Glazman, K.A. Matveev, R.I. Shekhter, Phys. Rev. Lett., 70, 4138, 1993
• 32. L.P. Kouwenhoven, G. Schon, L.L. Sohn, Mesoscopic Electron Transport, NATO ASI Series E, Vol. 345, Kluwer Academic Publ., Dordrecht 1997
• 33. S. Datta, Electronic Transport In Mesoscopic Systems, Cambridge University Press, Cambridge 1995, p. 260
• 34. G.D. Mahan, Many Particle Physics, 2nd ed., Plenum, New York 1993
• 35. R. Loudon, Phys. Rev. A, 58, 4904, 1998
• 36. R. Hanbury Brown, R.Q. Twiss, Nature (London), 177, 27, 1956
• 37. M. Buttiker, Phys. Rev. Lett., 65, 2901, 1990; Phys. Rev. B, 46, 12485, 1992
• 38. T. Martin, R. Landauer, Phys. Rev. B, 45, 1742, 1992
• 39. E.V. Sukhorukov, D. Loss, Phys. Rev. B, 59, 13054, 1999
• 40. R.C. Liu, B. Odom, Y. Yamamoto, S. Tarucha, Nature, 391, 263, 1998; M. Henny, S. Oberholzer, C. Strunk, T. Heinzel, K. Ensslin, M. Holland, C. Schonenberger, Science, 284, 296, 1999; W.D. Oliver, J. Kim, R.C. Liu, Y. Yamamoto, Science, 284, 299, 1999
• 41. V.A. Khlus, Zh. Eksp. Teor. Fiz., 93, 2179, 1987

Identifiers

DOI

10.12693/APhysPolA.100.109