Quantum computation in quantum-Hall systems

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 239, Issue 3, 1998, Pages 141-146

  Privman, V ^a   Vagner, I D ^b   Kventsel, G ^b,c  

^a CLARKSON UNIVERSITY   (United States)

^b MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC PULSE; QUANTUM COMPUTERS; QUANTUM HALL EFFECT; QUANTUM OPTICS; SPIN DYNAMICS;

CONDUCTION ELECTRONS; HYPERFINE INTERACTIONS; NEAREST NEIGHBORS; QUANTUM HALL REGIME; QUANTUM HALL SYSTEMS; QUANTUM INFORMATION; SPIN EXCHANGES; TWO-DIMENSIONAL ELECTRON SYSTEM;

HALL EFFECT DEVICES;

EID: 0042208947     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00974-2     Document Type: Article

References (53)

1. C. H. Bennett, Physics Today, October (1995) 24.
2. D.P. DiVincenzo, Science 270 (1995) 255.
3. A. Ekert, R. Jozsa, Rev. Mod. Phys. 68 (1996) 733.
4. S. Haroche, J.-M. Raimond, Physics Today, August (1996) 51.
5. B. Schwarzschild, Physics Today, March (1996) 21.
6. D. Mozyrsky, V. Privman, S.P. Hotaling, in: SPIE Conf. AeroSence 97, Proc. no. 3076 (SPIE Publ., 1997).
7. J. Preskill, Reliable Quantum Computers, preprint (available at http://xxx.lanl.gov/abs/quant-ph/9705031).
8. P. Shor, in: Proc. 35th Ann. Symp. on Fundamentals of Computer Science (1994).
9. I.L. Chuang, R. Laflamme, P.W. Shor, W.H. Zurek, Science 270 (1995) 1633.
10. C. Dürr, P. Høyer, A Quantum Algorithm for Finding the Minimum, preprint (available at http://xxx.lanl.gov/abs/ quant-ph/9607014).
11. R.B. Griffiths, C.-S. Niu, Phys. Rev. Lett. 76 (1996) 3228.
12. L.K. Grover, A Fast Quantum Mechanical Algorithm for Estimating the Median, preprint (available at http://xxx.lanl.gov/abs/quant-ph/9607024).
13. D.P. DiVincenzo, Topics in Quantum Computers, preprint (available at http://xxx.lanl.gov/abs/cond-mat/9612126).
14. R. Landauer, Philos. Trans. R. Soc. London Ser. A 353, 367 (1995).
15. P. Benioff, J. Stat. Phys. 29 (1982) 515.
16. A. Peres, Phys. Rev. A 32 (1985) 3266.
17. E. Knill, R. Laflamme, A Theory of Quantum Error-Correcting Codes, preprint (available at http://xxx.lanl.gov/ abs/quant-ph/9604034).
18. A. Ekert, C. Macchiavello, Phys. Rev. Lett. 77 (1996) 2585.
19. P. Shor, Fault-tolerant quantum computation, preprint (available at http://xxx.lanl.gov/abs/quant-ph/9605011).
20. D. Gottesman, Stabilizer Codes and Quantum Error Correction, preprint (available at http://xxx.lanl.gov/abs/ quant-ph/9705052).
21. D. Aharonov, M. Ben-Or, Fault-Tolerant Quantum Computation with Constant Error, preprint (available at http://xxx.lanl.gov/abs/quant-ph/9611025).
22. J.I. Cirac, P. Zoller, Phys. Rev. Lett. 74 (1995) 4091.
23. D.P. DiVincenzo, Phys. Rev. A 51 (1995) 1015.
24. S.P. Hotaling, Radix-R > 2 Quantum Computation, preprint (1996).
25. A. Steane, The Ion Trap Quantum Information Processor. preprint (available at http://xxx.Ianl.gov/abs/quant-ph/ 9608011).
26. D. Loss, D.P. DiVincenzo, Quantum Computation with Quantum Dots, preprint (available at http://xxx.lanl.gov/ abs/cond-mat/9701055).
27. C. Monroe, D.M. Meekhof, B.E. King, W.M. Itano, D.J. Wineland, Phys. Rev. Lett. 75 (1995) 4714.
28. Q. Turchette, C. Hood, W. Lange, H. Mabushi, H.J. Kimble, Phys. Rev. Lett. 75 (1995) 4710.
29. N.A. Gershenfeld, I.L. Chuang, Science 275 (1997) 350.
30. D.G. Cory, A.F. Fahmy, T.F. Havel, in: PhysComp 96, eds. T. Toffoli, M. Biafore, J. Leao (New England Complex Systems Inst. 1996).
31. D.G. Cory, A.F. Fahmy, T.F. Havel, Proc. Nat. Acad. Sci. 94 (1997) 1634.
32. C.P. Slichter, Principles of Magnetic Resonance, 3rd ed. (Springer, Berlin, 1996).
33. K. von Klitzing, G. Dorda, M. Pepper, Phys. Rev. Lett. 45 (1980) 494.
34. D.C. Tsui, H.L. Stömier, A.C. Gossard, Phys. Rev. Lett. 48 (1982) 1559.
35. R.E. Prange, S.M. Girvin, The Quantum Hall Effect (Springer, Berlin, 1990).
36. L.D. Landau, E.M. Lifshits, Quantum Mechanics. Nonrelativistic Theory (Nauka, Moscow, 1974).
37. A. Berg, M. Dobers, R.R. Gerhardts, K. von Klitzing, Phys. Rev. Lett. 64 (1990) 2563.
38. K. Wald, L.P. Kouwenhoven, P.L. McEuen, N.C. Van der Vaart, C.T. Foxon, Phys. Rev. Lett. 73 (1994) 1011.
39. R. Tycko, S.E. Barret, G. Dabbagh, L.N. Pfeiffer, K.W. West, Science 268 (1995) 1460.
40. Yu.A. Bychkov, T. Maniv, I.D. Vagner, Solid State Commun. 94 (1995) 61.
41. I.D. Vagner, T. Maniv, Physica B 204 (1995) 141.
42. I.D. Vagner, T. Maniv, Phys. Rev. Lett. 61 (1988) 1400.
43. M. Goldman, Spin Temperature and Nuclear Magnetic Resonance (Clarendon, Oxford, 1970).
44. A. Barenco, Proc. R. Soc. Lond. A 449 (1995) 679.
45. A. Barenco, Contemporary Phys. 37 (1996) 375.
46. 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 (1995) 3457.
47. S. Lloyd, Phys. Rev. Lett. 75 (1995) 346.
48. R.W. Winkler, J.P. Kotthans, K. Ploog, Phys. Rev. Lett. 62 (1989) 1177.
49. D. Weiss, K. von Klitzing, K. Ploog, G. Weimann, Europhys. Lett. 8 (1989) 179.
50. R.R. Gerhardts, D. Weiss, K. von Klitzing, Phys. Rev. Lett. 62 (1989) 1174.
51. Yu.A. Bychkov, T. Maniv, I.D. Vagner, P. Wyder, Phys. Rev. Lett. 73 (1994) 2911.
52. B.E. Kane, L.N. Pfeiffer, K.W. West, Phys. Rev. B 46 (1992) 7264.
53. I.D. Vagner, A. Rozhavsky, A. Zyuzin, P. Wyder, Is the Magnetic Field Necessary for the Aharonov-Bohm Effect in Mesoscopics?, preprint (1997).