Applied Physics Letters
Feedback | Help | Exit
Applied Physics Letters
   
 
 
 
Previous Article
Scanning tunneling microscopy on the formation of lipoamide-cyclodextrin monolayer on Au(111)
-cyclodextrin molecules modified with lipoamide residue (LP--CyD) were self-assembled on an Au(111) surface in ethanol solution, and the growth process was studied by scanning tunneling microscopy. At...
Next Article
Delayed release of Li atoms from laser ablated lithium niobate
The present vapor-phase optical (atomic) absorption measurements study the escape dynamics of Li atoms from a LiNbO3 target surface upon laser ablation in vacuum. The objective is to understand the lo...

Implementation of a three-quantum-bit search algorithm

Appl. Phys. Lett. 76, 646 (2000); doi:10.1063/1.125846

Issue Date: 31 January 2000

You are not logged in to this journal. Log in

Lieven M. K. Vandersypen and Matthias Steffen
Solid State and Photonics Laboratory, Stanford University, Stanford, California 94305-4075
IBM Almaden Research Center, San Jose, California 95120

Mark H. Sherwood, Costantino S. Yannoni, Gregory Breyta, and Isaac L. Chuang
IBM Almaden Research Center, San Jose, California 95120
We report the experimental implementation of Grover's quantum search algorithm on a quantum computer with three quantum bits. The computer consists of molecules of 13C-labeled CHFBr2, in which the three weakly coupled spin-1/2 nuclei behave as the bits and are initialized, manipulated, and read out using magnetic resonance techniques. This quantum computation is made possible by the introduction of two techniques which significantly reduce the complexity of the experiment and by the surprising degree of cancellation of systematic errors which have previously limited the total possible number of quantum gates. ©2000 American Institute of Physics.
History: Received 18 October 1999; accepted 29 November 1999
Permalink: http://link.aip.org/link/?APPLAB/76/646/1
BUY THIS ARTICLE   (US$28)
Download HTML Download Sectioned HTML Download PDF (138 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 03.67.Lx
    Quantum mechanics, field theories, and special relativity Quantum information Quantum computation
  • 85.65.+h
    Electronic and magnetic devices; microelectronics Molecular electronic devices
  • 33.25.+k
    Molecular properties and interactions with photons Nuclear resonance and relaxation
  • YEAR: 2000

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
0003-6951 (print)   1077-3118 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (19)
View in Separate Window/Tab
For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. D. P. DiVincenzo, Science 270, 255 (1995).
  2. P. Shor, Proc. 35th Ann. Symp. on Found. of Comp. Sci., Los Alomitos, CA, 1994 (IEEE, New York, 1994), p. 124.
  3. L. K. Grover, Phys. Rev. Lett. 79, 4709 (1997).
  4. I. L. Chuang, N. Gershenfeld, and M. G. Kubinec, Phys. Rev. Lett. 80, 3408 (1998);
    5. J. A. Jones and M. Mosca, J. Chem. Phys. 109, 1648 (1998);
    N. Linden, H. Barjat, and R. Freeman, Chem. Phys. Lett. 296, 61 (1998);
    R. Marx, A. F. Fahmy, J. M. Myers, W. Bermel, and S. J. Glaser (unpublished), see E-print quant-ph/9905087, and references therein.
  5. N. Gershenfeld and I. L. Chuang, Science 275, 350 (1997);
    6. D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. USA 94, 1634 (1997).
  6. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonancce in One and Two Dimensions (Oxford University Press, Oxford, 1994);
    7. R. Freeman, Spin Choreography (Spektrum, Oxford, 1997).
  7. L. M. K. Vandersypen, C. S. Yannoni, M. H. Sherwood, and I. L. Chuang, Phys. Rev. Lett. 83, 3085 (1999).
  8. B. W. Schumacher and M. A. Nielsen, Phys. Rev. A 54, 2629 (1996).
  9. For a success rate of only 1% (0.9590[approximate]0.01).
  10. P. W. Shor, Phys. Rev. A 52, R2493 (1995);
    11. A. M. Steane, Phys. Rev. Lett. 77, 793 (1996).
  11. E. Knill, R. Laflamme, and W. H. Zurek, Science 279, 342 (1998).
  12. W. G. Unruh, Phys. Rev. A 51, 992 (1995).
  13. A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. Smolin, and H. Weinfurter, Phys. Rev. A 52, 3457 (1995).
  14. The detailed pulse sequence is available from the authors.
  15. E. Knill, I. L. Chuang, and R. Laflamme, Phys. Rev. A 57, 3348 (1998).
  16. Synthesized by heating a mixture of 13CHBr3 (2.25 g, CIL) and HgF2 (2.8 g, Aldrich) in increments (5 °C for 15 min) from 70 to 85 °C in a Kugelrohr apparatus and condensing the product into a cooled bulb. This material was redistilled bulb-to-bulb at 65 °C to give 750 mg (99% purity) of 13CHFBr2, which was dissolved in d6-acetone.
  17. I. L. Chuang, N. Gershenfeld, M. G. Kubinec, and D. W. Leung, Proc. R. Soc. London, Ser. A 454, 447 (1998).
  18. The two-norm gives the absolute value of the largest eigenvalue. It is a pessimistic measure, compared to the traditional 1–Tr(sqrt( rho[sub 1])rho2sqrt( rho[sub 1])) (the latter is defined only for non-negative matrices, though).
  19. As the signal strength retained after applying a continuous rf pulse of the same cumulative duration per Grover iteration as the pulses in the Grover sequence (averaged over the three spins).

CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.


Copyright © American Institute of Physics