Spin quantum computation in silicon nanostructures

Solid State Communications

Volumn 133, Issue 11 SPEC. ISS., 2005, Pages 737-746

  Sarma, S Das ^a   Sousa, Rogerio De ^b   Hu, Xuedong ^c   Koiller, Belita ^d  

^a UNIVERSITY OF MARYLAND   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY AT BUFFALO   (United States)

^d FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

A. Semiconductors; C. Impurities in semiconductors; D. Exchange and super exchange; D. Spin dynamics

Indexed keywords

ALGORITHMS; COMPUTER ARCHITECTURE; DIFFUSION; ELECTRON ENERGY LEVELS; ERROR CORRECTION; ISOTOPES; NANOSTRUCTURED MATERIALS; PURIFICATION; RAMAN SPECTROSCOPY; SEMICONDUCTOR QUANTUM DOTS; SILICON COMPOUNDS; TRANSISTORS;

EXCHANGE AND SUPER-EXCHANGE; IMPURITIES IN SEMICONDUCTORS; QUANTUM COMPUTATION; SILICON NANOSTRUCTURES; SPIN DYNAMICS;

QUANTUM THEORY;

EID: 14044268751     PISSN: 00381098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ssc.2004.12.037     Document Type: Article

References (64)

1. M.A. Nielsen, and I.L. Chuang Quantum Computation and Quantum Information 2000 Cambridge University Press Cambridge
2. D.P. DiVincenzo Quantum computation Science 270 1995 255; A. Ekert, and R. Jozsa Quantum computation and Shor's factoring algorithm Rev. Mod. Phys. 68 1996 733; A. Steane Quantum computing Rep. Prog. Phys. 61 1998 117; C.H. Bennett, and D.P. DiVincenzo Quantum information and computation Nature 404 2000 247
3. D.P. DiVincenzo Quantum computation Science 270 1995 255; A. Ekert, and R. Jozsa Quantum computation and Shor's factoring algorithm Rev. Mod. Phys. 68 1996 733; A. Steane Quantum computing Rep. Prog. Phys. 61 1998 117; C.H. Bennett, and D.P. DiVincenzo Quantum information and computation Nature 404 2000 247
4. D.P. DiVincenzo Quantum computation Science 270 1995 255; A. Ekert, and R. Jozsa Quantum computation and Shor's factoring algorithm Rev. Mod. Phys. 68 1996 733; A. Steane Quantum computing Rep. Prog. Phys. 61 1998 117; C.H. Bennett, and D.P. DiVincenzo Quantum information and computation Nature 404 2000 247
5. D.P. DiVincenzo Quantum computation Science 270 1995 255; A. Ekert, and R. Jozsa Quantum computation and Shor's factoring algorithm Rev. Mod. Phys. 68 1996 733; A. Steane Quantum computing Rep. Prog. Phys. 61 1998 117; C.H. Bennett, and D.P. DiVincenzo Quantum information and computation Nature 404 2000 247
6. P.W. Shor S. Goldwasser Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer Proceedings of the 35th Annual Symposium on the Foundations of Computer Science 1994 IEEE Computer Society Los Alamitos 124 134
7. P.W. Shor Scheme for reducing decoherence in quantum computer memory Phys. Rev. A 52 1995 R2493 R2496; A.M. Steane Error correcting codes in quantum theory Phys. Rev. Lett. 77 793 1996 797
8. P.W. Shor Scheme for reducing decoherence in quantum computer memory Phys. Rev. A 52 1995 R2493 R2496; A.M. Steane Error correcting codes in quantum theory Phys. Rev. Lett. 77 793 1996 797
9. I. Žutić, J. Fabian, and S. Das Sarma Spintronics: fundamentals and applications Rev. Mod. Phys. 76 2004 323
10. S. Das Sarma, J. Fabian, and I. Žutić Spin electronics and spin computation Solid State Commun. 119 2001 207; X. Hu, and S. Das Sarma Overview of spin-based quantum dot quantum computation Phys. Status Solidi B 238 2003 260; X. Hu, Quantum dot quantum computing, cond-mat/0411012.
11. S. Das Sarma, J. Fabian, and I. Žutić Spin electronics and spin computation Solid State Commun. 119 2001 207; X. Hu, and S. Das Sarma Overview of spin-based quantum dot quantum computation Phys. Status Solidi B 238 2003 260; X. Hu, Quantum dot quantum computing, cond-mat/0411012.
12. S. Das Sarma, J. Fabian, and I. Žutić Spin electronics and spin computation Solid State Commun. 119 2001 207; X. Hu, and S. Das Sarma Overview of spin-based quantum dot quantum computation Phys. Status Solidi B 238 2003 260; X. Hu, Quantum dot quantum computing, cond-mat/0411012.
13. D. Loss, and P. DiVincenzo Quantum computation with quantum dots Phys. Rev. A 57 1998 120
14. A. Imamoglu, D.D. Awschalom, G. Burkard, D.P. DiVincenzo, D. Loss, M. Sherwin, and A. Small Quantum information processing using quantum dot spins and cavity QED Phys. Rev. Lett. 83 1999 4204 4207
15. B.E. Kane A silicon-based nuclear spin quantum computer Nature 393 1998 133
16. V. Privman, I.D. Vagner, and G. Kventsel Quantum computation in quantum-Hall systems Phys. Lett. A 239 1998 141 146
17. R. Vrijen, E. Yablonovitch, K. Wang, H.W. Jiang, A. Balandin, V. Roychowdhury, T. Mor, and D.P. DiVincenzo Electron-spin-resonance transistors for quantum computing in silicon-germanium heterostructures Phys. Rev. A 62 2000 012306
18. P.M. Voyles, D.A. Muller, J.L. Grazui, P.H. Citrin, and H.-J.L. Grossmann Atomic-scale imaging of individual dopant atoms and clusters in highly n-type bulk Si Nature 416 2002 826
19. T. Tanamoto One- and two-dimensional N-qubit systems in capacitively coupled quantum dots Phys. Rev. A 64 2001 062306; T. Tanamoto Quantum gates by coupled asymmetric quantum dots and controlled-NOT-gate operation Phys. Rev. A 61 2000 022305.
20. T. Tanamoto One- and two-dimensional N-qubit systems in capacitively coupled quantum dots Phys. Rev. A 64 2001 062306; T. Tanamoto Quantum gates by coupled asymmetric quantum dots and controlled-NOT-gate operation Phys. Rev. A 61 2000 022305.
21. H. Grabert M.H. Devoret Single Charge Tunneling 1992 Plenum New York
22. M.I. Dykman, F.M. Izrailev, L.F. Santos, M. Shapiro, Many-particle localization by constructed disorder: enabling quantum computing with perpetually coupled qubits, cond-mat/0401201.
23. X. Hu, and S. Das Sarma Gate errors in solid state quantum computation Phys. Rev. A 66 2002 012312
24. A. Abragam The Principles of Nuclear Magnetism 1961 Oxford University Press London; C.P. Slichter Principles of Magnetic Resonance 1996 Springer Berlin; X. Hu, R. de Sousa, and S. Das Sarma Decoherence and dephasing in spin-based solid state quantum computers Y.A. Ono J. Fujikawa Proceedings for the 7th International Symposium on Foundations of Quantum Mechanics in the Light of New Technology, Saitama, Japan (August, 2001) 2002 World Scientific River Edge (An extended version available at cond-mat/0108339)
25. A. Abragam The Principles of Nuclear Magnetism 1961 Oxford University Press London; C.P. Slichter Principles of Magnetic Resonance 1996 Springer Berlin; X. Hu, R. de Sousa, and S. Das Sarma Decoherence and dephasing in spin-based solid state quantum computers Y.A. Ono J. Fujikawa Proceedings for the 7th International Symposium on Foundations of Quantum Mechanics in the Light of New Technology, Saitama, Japan (August, 2001) 2002 World Scientific River Edge (An extended version available at cond-mat/0108339)
26. A. Abragam The Principles of Nuclear Magnetism 1961 Oxford University Press London; C.P. Slichter Principles of Magnetic Resonance 1996 Springer Berlin; X. Hu, R. de Sousa, and S. Das Sarma Decoherence and dephasing in spin-based solid state quantum computers Y.A. Ono J. Fujikawa Proceedings for the 7th International Symposium on Foundations of Quantum Mechanics in the Light of New Technology, Saitama, Japan (August, 2001) 2002 World Scientific River Edge (An extended version available at cond-mat/0108339)
27. Y. Yafet g-factors and spin-lattice relaxation of conduction electrons F. Seitz D. Turnbull Solid State Physics vol. 14 1963 Academic New York 2
28. G. Feher, and A. Gere Electron spin resonance experiments on donors in silicon. II. Electron spin relaxation effects Phys. Rev. 1959 1245
29. M. Chiba, and A. Hirai Electron spin echo decay behaviors of phosphorus doped silicon J. Phys. Soc. Jpn. 33 1972 730
30. D. Pines, J. Bardeen, and P. Slichter Nuclear polarization and impurity-state relaxation processes in silicon Phys. Rev. 106 1957 489
31. C. Tahan, M. Friesen, and R. Joynt Decoherence of electron spin qubits in Si-based quantum computers Phys. Rev. B 66 2002 035314
32. B. Herzog, and E.L. Hahn Transient nuclear induction and double nuclear resonance in solids Phys. Rev. 103 1956 148; J.P. Gordon, and K.D. Bowers Microwave spin echoes from donor electrons in silicon Phys. Rev. Lett. 1 1958 368; W.B. Mims, K. Nassau, and J.D. McGee Spectral diffusion in spin resonance lines Phys. Rev. 123 1961 2059; J.R. Klauder, and P.W. Anderson Spectral diffusion decay in spin resonance experiments Phys. Rev. 125 1962 912
33. B. Herzog, and E.L. Hahn Transient nuclear induction and double nuclear resonance in solids Phys. Rev. 103 1956 148; J.P. Gordon, and K.D. Bowers Microwave spin echoes from donor electrons in silicon Phys. Rev. Lett. 1 1958 368; W.B. Mims, K. Nassau, and J.D. McGee Spectral diffusion in spin resonance lines Phys. Rev. 123 1961 2059; J.R. Klauder, and P.W. Anderson Spectral diffusion decay in spin resonance experiments Phys. Rev. 125 1962 912
34. B. Herzog, and E.L. Hahn Transient nuclear induction and double nuclear resonance in solids Phys. Rev. 103 1956 148; J.P. Gordon, and K.D. Bowers Microwave spin echoes from donor electrons in silicon Phys. Rev. Lett. 1 1958 368; W.B. Mims, K. Nassau, and J.D. McGee Spectral diffusion in spin resonance lines Phys. Rev. 123 1961 2059; J.R. Klauder, and P.W. Anderson Spectral diffusion decay in spin resonance experiments Phys. Rev. 125 1962 912
35. B. Herzog, and E.L. Hahn Transient nuclear induction and double nuclear resonance in solids Phys. Rev. 103 1956 148; J.P. Gordon, and K.D. Bowers Microwave spin echoes from donor electrons in silicon Phys. Rev. Lett. 1 1958 368; W.B. Mims, K. Nassau, and J.D. McGee Spectral diffusion in spin resonance lines Phys. Rev. 123 1961 2059; J.R. Klauder, and P.W. Anderson Spectral diffusion decay in spin resonance experiments Phys. Rev. 125 1962 912
36. R. de Sousa, and S. Das Sarma Electron spin coherence in semiconductors: considerations for a spin-based solid-state quantum computer architecture Phys. Rev. B 67 2003 033301
37. R. de Sousa, and S. Das Sarma Theory of nuclear-induced spectral diffusion: spin decoherence of phosphorus donors in Si and GaAs quantum dots Phys. Rev. B 68 2003 115322
38. E. Abe, K.M. Itoh, J. Isoya, and S. Yamasaki Electron-spin phase relaxation of phosphorus donors in nuclear-spin-enriched silicon Phys. Rev. B 70 2004 033204
39. A.M. Tyryshkin, S.A. Lyon, A.V. Astashkin, and M. Raitsimring Electron spin relaxation times of phosphorus donors in silicon Phys. Rev. B 68 2003 193207
40. J.M. Elzerman, R. Hanson, L.H.W. van Beveren, B. Witkamp, L.M.K. Vandersypen, and L.P. Kouwenhoven Single-shot read-out of an individual electron spin in a quantum dot Nature 430 2004 431
41. G. Burkard, D. Loss, and D.P. DiVincenzo Coupled quantum dots as quantum gates Phys. Rev. B 59 1999 2070; A.V. Khaetskii, D. Loss, and L. Glazman Electron spin decoherence in quantum dots due to interaction with nuclei Phys. Rev. Lett. 88 2002 186802; D. Gammon, Al.L. Efros, T.A. Kennedy, M. Rosen, D.S. Katzer, D. Park, S.W. Brown, V.L. Korenev, and I.A. Merkulov Electron and nuclear spin interactions in the optical spectra of single GaAs quantum dots Phys. Rev. Lett. 86 2001 5176; A. Imamoglu, E. Knill, L. Tian, and P. Zoller Optical pumping of quantum-dot nuclear spins Phys. Rev. Lett. 91 2003 017402; K. Ono, and S. Tarucha Nuclear-spin-induced oscillatory current in spin-blockaded quantum dots Phys. Rev. Lett. 92 2004 256803
42. G. Burkard, D. Loss, and D.P. DiVincenzo Coupled quantum dots as quantum gates Phys. Rev. B 59 1999 2070; A.V. Khaetskii, D. Loss, and L. Glazman Electron spin decoherence in quantum dots due to interaction with nuclei Phys. Rev. Lett. 88 2002 186802; D. Gammon, Al.L. Efros, T.A. Kennedy, M. Rosen, D.S. Katzer, D. Park, S.W. Brown, V.L. Korenev, and I.A. Merkulov Electron and nuclear spin interactions in the optical spectra of single GaAs quantum dots Phys. Rev. Lett. 86 2001 5176; A. Imamoglu, E. Knill, L. Tian, and P. Zoller Optical pumping of quantum-dot nuclear spins Phys. Rev. Lett. 91 2003 017402; K. Ono, and S. Tarucha Nuclear-spin-induced oscillatory current in spin-blockaded quantum dots Phys. Rev. Lett. 92 2004 256803
43. G. Burkard, D. Loss, and D.P. DiVincenzo Coupled quantum dots as quantum gates Phys. Rev. B 59 1999 2070; A.V. Khaetskii, D. Loss, and L. Glazman Electron spin decoherence in quantum dots due to interaction with nuclei Phys. Rev. Lett. 88 2002 186802; D. Gammon, Al.L. Efros, T.A. Kennedy, M. Rosen, D.S. Katzer, D. Park, S.W. Brown, V.L. Korenev, and I.A. Merkulov Electron and nuclear spin interactions in the optical spectra of single GaAs quantum dots Phys. Rev. Lett. 86 2001 5176; A. Imamoglu, E. Knill, L. Tian, and P. Zoller Optical pumping of quantum-dot nuclear spins Phys. Rev. Lett. 91 2003 017402; K. Ono, and S. Tarucha Nuclear-spin-induced oscillatory current in spin-blockaded quantum dots Phys. Rev. Lett. 92 2004 256803
44. G. Burkard, D. Loss, and D.P. DiVincenzo Coupled quantum dots as quantum gates Phys. Rev. B 59 1999 2070; A.V. Khaetskii, D. Loss, and L. Glazman Electron spin decoherence in quantum dots due to interaction with nuclei Phys. Rev. Lett. 88 2002 186802; D. Gammon, Al.L. Efros, T.A. Kennedy, M. Rosen, D.S. Katzer, D. Park, S.W. Brown, V.L. Korenev, and I.A. Merkulov Electron and nuclear spin interactions in the optical spectra of single GaAs quantum dots Phys. Rev. Lett. 86 2001 5176; A. Imamoglu, E. Knill, L. Tian, and P. Zoller Optical pumping of quantum-dot nuclear spins Phys. Rev. Lett. 91 2003 017402; K. Ono, and S. Tarucha Nuclear-spin-induced oscillatory current in spin-blockaded quantum dots Phys. Rev. Lett. 92 2004 256803
45. G. Burkard, D. Loss, and D.P. DiVincenzo Coupled quantum dots as quantum gates Phys. Rev. B 59 1999 2070; A.V. Khaetskii, D. Loss, and L. Glazman Electron spin decoherence in quantum dots due to interaction with nuclei Phys. Rev. Lett. 88 2002 186802; D. Gammon, Al.L. Efros, T.A. Kennedy, M. Rosen, D.S. Katzer, D. Park, S.W. Brown, V.L. Korenev, and I.A. Merkulov Electron and nuclear spin interactions in the optical spectra of single GaAs quantum dots Phys. Rev. Lett. 86 2001 5176; A. Imamoglu, E. Knill, L. Tian, and P. Zoller Optical pumping of quantum-dot nuclear spins Phys. Rev. Lett. 91 2003 017402; K. Ono, and S. Tarucha Nuclear-spin-induced oscillatory current in spin-blockaded quantum dots Phys. Rev. Lett. 92 2004 256803
46. R. de Sousa, N. Shenvi, and K.B. Whaley, Qubit coherence control in a nuclear spin bath, cond-mat/0406090.
47. X. Hu, and S. Das Sarma Hilbert-space structure of a solid-state quantum computer: two-electron states of a double-quantum-dot artificial molecule Phys. Rev. A 61 2000 062301
48. 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, and W. Brown Towards the fabrication of phosphorus qubits for a silicon quantum computer Phys. Rev. B 64 2001 161401
49. S.R. Schofield, N.J. Curson, M.Y. Simmons, F.J. Rueß, T. Hallam, L. Oberbeck, and R.G. Clark Atomically precise placement of single dopants in Si Phys. Rev. Lett. 91 2003 136104
50. T.M. Buehler, R.P. McKinnon, N.E. Lumpkin, R. Brenner, D.J. Reilly, L.D. Macks, A.R. Hamilton, A.S. Dzurak, and R.G. Clark A self-aligned fabrication process for silicon quantum computer devices Nanotechnology 13 2002 686
51. T. Schenkel, A. Persaud, S.J. Park, J. Nilsson, J. Bokor, J.A. Liddle, R. Keller, D.H. Schneider, D.W. Cheng, and D.E. Humphries Solid state quantum computer development in silicon with single ion implantation J. Appl. Phys. 94 2003 7017
52. K. Andres, R.N. Bhatt, P. Goalwin, T.M. Rice, and E. Walstedt Low-temperature magnetic-susceptibility of Si-P in the non-metallic region Phys. Rev. B 24 1981 244
53. B. Koiller, X. Hu, and S. Das Sarma Exchange in silicon-based quantum computer architecture Phys. Rev. Lett. 88 2002 027903
54. B. Koiller, X. Hu, and S. Das Sarma Strain effects on silicon donor exchange: quantum computer architecture considerations Phys. Rev. B 66 2002 115201
55. C.J. Wellard, L.C.L. Hollenberg, F. Parisoli, L. Kettle, H.-S. Goan, J.A.L. McIntosh, and D.N. Jamieson Electron exchange coupling for single-donor solid-state spin qubits Phys. Rev. B 68 2003 195209
56. J.C. Slater Quantum Theory of Molecules and Solids vol. 1 1963 McGraw-Hill New York
57. B. Koiller, R.B. Capaz, X. Hu, and S. Das Sarma Shallow donor wavefunctions and donor-pair exchange in silicon: ab initio theory and floating-phase Heitler-London approach arXiv:cond-mat/0402266 Phys. Rev. B 70 2004 115207
58. W. Kohn Shallow impurity states in silicon and germanium F. Seitz D. Turnbull Solid State Physics vol. 5 1957 Academic Press New York 257 320
59. S.T. Pantelides The electronic structure of impurities and other point defects in semiconductors Rev. Mod. Phys. 50 1978 797
60. C. Herring, and M. Flicker Asymptotic exchange coupling of two hydrogen atoms Phys. Rev. 134 1964 A362
61. A.J. Skinner, M.E. Davenport, and E. Kane Hydrogenic spin quantum computing in silicon: a digital approach Phys. Rev. Lett. 90 2003 087901
62. M. Friesen, P. Rugheimer, D.E. Savage, M.G. Lagally, D.W. van der Weide, R. Joynt, and M.A. Eriksson Practical design and simulation of silicon-based quantum-dot qubits Phys. Rev. B 67 2003 121301
63. B. Koiller, X. Hu, H.D. Drew, and S. Das Sarma Disentangling the exchange coupling of entangled donors in the silicon quantum computer architecture Phys. Rev. Lett. 90 2003 067401
64. R. de Sousa, J.D. Delgado, S. Das Sarma, Silicon quantum computation based on magnetic dipolar coupling, cond-mat/0311403. To appear in Phys. Rev. A, 2004.