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Molecular Magnets for Quantum Information Processing

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Molecular Magnets

Part of the book series: NanoScience and Technology ((NANO))

Abstract

In this chapter we will examine the possibility of utilizing molecular magnets for quantum information processing purposes. We start by giving a brief introduction into quantum computing, and highlight the fundamental differences between classical- and quantum computing. We will introduce the five DiVincenzo criteria for successful physical implementation of a quantum computer, and will use these criteria as a guideline for the remainder of the chapter. We will discuss how one can utilize the spin degrees of freedom in molecular magnets for quantum computation, and introduce the associated ways of controlling the state of the qubit. In this part we will focus mainly on the spin-electric effect, which makes it possible to control the quantum states of spin in molecular magnets by electric means. We will discuss ways to couple the quantum state of two molecular magnets. Next, we will identify and discuss the different decoherence mechanisms that play a role in molecular magnets. We will show that one of the advantages of using molecular magnets as qubits is that it is possible to use degrees of freedom that are more robust against decoherence than those in more traditional qubits. We briefly discuss preparation and read-out of qubit states. Finally, we discuss a proposal to implement Grover’s algorithm using molecular magnets.

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References

  1. C.M. Papadimitriou, Computational Complexity (Addison-Wesley, Reading, 1994)

    MATH  Google Scholar 

  2. D.P. DiVincenzo, Fortschr. Phys. 48, 771 (2000)

    Article  MATH  Google Scholar 

  3. D. Deutsch, R. Jozsa, Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 439, 553 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. R. Cleve, A. Ekert, C. Macchiavello, M. Mosca, Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 454, 339 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. L.K. Grover, in Proceedings of the 28th Annual ACM Symposium on the Theory of Computing, (1996), p. 212

    Google Scholar 

  6. P. Shor, SIAM J. Comput. 26, 1484 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  7. D. Deutsch, Proc. R. Soc. Lond. A 400, 97–117 (1985)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. J. Church, Am. J. Math. 58, 435 (1936)

    Article  MathSciNet  Google Scholar 

  9. A.M. Turing, Proc. Lond. Math. Soc. 442, 230 (1936)

    MathSciNet  Google Scholar 

  10. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, New York, 2000)

    MATH  Google Scholar 

  11. W.K. Wootters, W.H. Zurek, Nature 299, 802 (1982)

    Article  ADS  Google Scholar 

  12. 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)

    Article  ADS  Google Scholar 

  13. D. Loss, D.P. DiVincenzo, Phys. Rev. A 57, 120 (1998)

    Article  ADS  Google Scholar 

  14. A. Imamoglu, D.D. Awschalom, G. Burkard, D.P. DiVincenzo, D. Loss, M. Sherwin, A. Small, Phys. Rev. Lett. 83, 4204 (1999)

    Article  ADS  Google Scholar 

  15. J.I. Cirac, P. Zoller, Phys. Rev. Lett. 74, 4091 (1995)

    Article  ADS  Google Scholar 

  16. Q.A. Turchette, C.J. Hood, W. Lange, H. Mabuchi, H.J. Kimble, Phys. Rev. Lett. 75, 4710 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  17. N.A. Gershenfeld, I.L. Chuang, Science 275, 350 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  18. A. Shnirman, G. Schön, Z. Hermon, Phys. Rev. Lett. 79, 2371 (1997)

    Article  ADS  Google Scholar 

  19. B.E. Kane, Nature (London) 393, 133 (1998)

    Article  ADS  Google Scholar 

  20. R. Vrijen, E. Yablonovitch, K.L. Wang, H.W. Jiang, A.A. Balandin, V. Roychowdhury, T. Mor, D.P. DiVincenzo, Phys. Rev. A 62, 012306 (2000)

    Article  ADS  Google Scholar 

  21. E. Knill, R. Laflamme, G.J. Milburn, Nature (London) 409, 46 (2001)

    Article  ADS  Google Scholar 

  22. F. Jelezko, J. Wrachtrup, Phys. Status Solidi A 203, 3207 (2006)

    Article  ADS  Google Scholar 

  23. R. Hanson, D.D. Awschalom, Nature (London) 453, 1043 (2008)

    Article  ADS  Google Scholar 

  24. P. Maletinsky, S. Hong, M.S. Grinolds, B. Hausmann, M.D. Lukin, R.L. Walsworth, M. Loncar, A. Yacoby, Nat. Nanotechnol. (2012). doi:10.1038/nnano.2012.50

    Google Scholar 

  25. D.V. Bulaev, B. Trauzettel, D. Loss, Phys. Rev. B 77, 235301 (2008)

    Article  ADS  Google Scholar 

  26. M. Trif, V.N. Golovach, D. Loss, Phys. Rev. B 77, 045434 (2008)

    Article  ADS  Google Scholar 

  27. M.N. Leuenberger, D. Loss, Nature (London) 410, 789 (2001)

    Article  ADS  Google Scholar 

  28. J. Tejada, E. Chudnovsky, E. del Barco, J. Hernandez, T. Spiller, Nanotechnology 12, 181 (2001)

    Article  ADS  Google Scholar 

  29. F. Meier, J. Levy, D. Loss, Phys. Rev. Lett. 90, 047901 (2003)

    Article  ADS  Google Scholar 

  30. F. Troiani, A. Ghirri, M. Affronte, S. Carretta, P. Santini, G. Amoretti, S. Piligkos, G. Timco, R.E.P. Winpenny, Phys. Rev. Lett. 94, 207208 (2005)

    Article  ADS  Google Scholar 

  31. J. Lehmann, A. Gaita-Arino, E. Coronado, D. Loss, Nat. Nanotechnol. 2, 312 (2007)

    Article  ADS  Google Scholar 

  32. M. Trif, F. Troiani, D. Stepanenko, D. Loss, Phys. Rev. Lett. 101, 217201 (2008)

    Article  ADS  Google Scholar 

  33. E.M. Chudnovsky, L. Gunther, Phys. Rev. Lett. 60, 661 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  34. D.D. Awschalom, J.F. Smyth, G. Grinstein, D.P. DiVincenzo, D. Loss, Phys. Rev. Lett. 68, 3092 (1992)

    Article  ADS  Google Scholar 

  35. R. Sessoli, D. Gatteschi, A. Caneschi, M.A. Novak, Nature (London) 365, 141 (1993)

    Article  ADS  Google Scholar 

  36. L. Thomas, F. Lionti, R. Ballou, D. Gatteschi, R. Sessoli, B. Barbara, Nature (London) 383, 145 (1996)

    Article  ADS  Google Scholar 

  37. J.R. Friedman, M.P. Sarachik, J. Tejada, R. Ziolo, Phys. Rev. Lett. 76, 3830 (1996)

    Article  ADS  Google Scholar 

  38. W. Wernsdorfer, E. Bonet Orozco, K. Hasselbach, A. Benoit, D. Mailly, O. Kubo, H. Nakano, B. Barbara, Phys. Rev. Lett. 79, 4014 (1997)

    Article  ADS  Google Scholar 

  39. J. Tejada, X.X. Zhang, E. del Barco, J.M. Hernández, E.M. Chudnovsky, Phys. Rev. Lett. 79, 1754 (1997)

    Article  ADS  Google Scholar 

  40. E. del Barco, A.D. Kent, E.M. Rumberger, D.N. Hendrickson, G. Christou, Phys. Rev. Lett. 91, 047203 (2003)

    Article  ADS  Google Scholar 

  41. A. Chiolero, D. Loss, Phys. Rev. Lett. 80, 169 (1998)

    Article  ADS  Google Scholar 

  42. F. Meier, D. Loss, Phys. Rev. Lett. 86, 5373 (2001)

    Article  ADS  Google Scholar 

  43. D. Gatteschi, A. Caneschi, L. Pardi, R. Sessoli, Science 265, 1054 (1994)

    Article  ADS  Google Scholar 

  44. C. Sangregorio, T. Ohm, C. Paulsen, R. Sessoli, D. Gatteschi, Phys. Rev. Lett. 78, 4645 (1997)

    Article  ADS  Google Scholar 

  45. D. Gatteschi, R. Sessoli, A. Cornia, Chem. Commun. 725 (2000). doi:10.1039/A908254I

  46. D. Loss, D.P. DiVincenzo, G. Grinstein, Phys. Rev. Lett. 69, 3232 (1992)

    Article  ADS  Google Scholar 

  47. M.N. Leuenberger, D. Loss, Phys. Rev. B 61, 1286 (2000)

    Article  ADS  Google Scholar 

  48. M.N. Leuenberger, F. Meier, D. Loss, Monatsh. Chem. 134, 217 (2003)

    Article  Google Scholar 

  49. W. Wernsdorfer, R. Sessoli, Science 284, 133 (1999)

    Article  ADS  Google Scholar 

  50. M.N. Leuenberger, D. Loss, Phys. Rev. B 63, 054414 (2001)

    Article  ADS  Google Scholar 

  51. G. González, M.N. Leuenberger, Phys. Rev. Lett. 98, 256804 (2007)

    Article  ADS  Google Scholar 

  52. G. González, M.N. Leuenberger, E.R. Mucciolo, Phys. Rev. B 78, 054445 (2008)

    Article  ADS  Google Scholar 

  53. M. Trif, F. Troiani, D. Stepanenko, D. Loss, Phys. Rev. B 82, 045429 (2010)

    Article  ADS  Google Scholar 

  54. K.-Y. Choi, Y.H. Matsuda, H. Nojiri, U. Kortz, F. Hussain, A.C. Stowe, C. Ramsey, N.S. Dalal, Phys. Rev. Lett. 96, 107202 (2006)

    Article  ADS  Google Scholar 

  55. F.H.L. Koppens, C. Buizert, K.J. Tielrooij, I.T. Vink, K.C. Nowack, T. Meunier, L.P. Kouwenhoven, L.M.K. Vandersypen, Nature (London) 442, 766 (2006)

    Article  ADS  Google Scholar 

  56. S. Bertaina, S. Gambarelli, T. Mitra, B. Tsukerblat, A. Müller, B. Barbara, Nature (London) 453, 203 (2008)

    Article  ADS  Google Scholar 

  57. M. Borhani, V.N. Golovach, D. Loss, Phys. Rev. B 73, 155311 (2006)

    Article  ADS  Google Scholar 

  58. K.C. Nowack, F.H.L. Koppens, Yu.V. Nazarov, L.M.K. Vandersypen, Science 318, 1430 (2007)

    Article  ADS  Google Scholar 

  59. M.F. Islam, J.F. Nossa, C.M. Canali, M.R. Pederson, Phys. Rev. B 82, 155446 (2010)

    Article  ADS  Google Scholar 

  60. J.F. Nossa, M.F. Islam, C.M. Canali, M.R. Pederson, Phys. Rev. B 85, 085427 (2012)

    Article  ADS  Google Scholar 

  61. P.W. Anderson, Phys. Rev. 115, 2 (1959)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  62. T. Moriya, Phys. Rev. 120, 91 (1960)

    Article  ADS  Google Scholar 

  63. R. Winkler, Spin-Orbit Copuling Effects in Two-dimensional Electron and Hole Systems (Springer, Berlin, 2003)

    Book  Google Scholar 

  64. G. Burkard, D. Loss, D.P. DiVicenzo, Phys. Rev. B 59, 2070 (1999)

    Article  ADS  Google Scholar 

  65. A. Ardavan, O. Rival, J.J.L. Morton, S.J. Blundell, A.M. Tyryshkin, G.A. Timco, R.E.P. Winpenny, Phys. Rev. Lett. 98, 057201 (2007)

    Article  ADS  Google Scholar 

  66. A. Schweiger, G. Jeschke, Principles of Pulse Electron Paramagnetic Resonance (Oxford University Press, New York, 2001)

    Google Scholar 

  67. F. Troiani, D. Stepanenko, D. Loss, Phys. Rev. B 86, 161409 (2012)

    Article  ADS  Google Scholar 

  68. W.A. Coish, D. Loss, Phys. Rev. B 70, 195340 (2004)

    Article  ADS  Google Scholar 

  69. D. Gatteschi, R. Sessoli, J. Villain, Molecular Nanomagnets (Oxford University Press, New York, 2006)

    Book  Google Scholar 

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Acknowledgements

The authors would like to acknowledge financial support from the Swiss NSF, the NCCR Nanoscience Basel, and the FP7-ICT project “ELFOS”.

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Correspondence to Daniel Loss .

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van Hoogdalem, K., Stepanenko, D., Loss, D. (2014). Molecular Magnets for Quantum Information Processing. In: Bartolomé, J., Luis, F., Fernández, J. (eds) Molecular Magnets. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40609-6_11

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