NMR quantum information processing and entanglement

Quantum Information and Computation

Volumn 2, Issue 2, 2002, Pages 166-176

  Laflamme, Raymond ^a,b   Cory, David ^c   Negrevergne, Camille ^d   Viola, Lorenza ^d  

^a UNIVERSITY OF WATERLOO   (Canada)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^c Massachusetts Institute of Technology Cambridge   (United States)

^d LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NUCLEAR MAGNETIC RESONANCE; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; QUANTUM COMPUTERS; QUANTUM OPTICS;

LIQUID STATE; NMR EXPERIMENTS; NUCLEAR MAGNETIC RESONANCE(NMR); OF QUANTUM-INFORMATION; QUANTUM-INFORMATION PROCESSING;

QUANTUM ENTANGLEMENT;

EID: 0011255223     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (31)

1. R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions, Oxford University Press, Oxford, 1994.
2. D. G. Cory, R. Laflamme, E. Knill, L. Viola, T. F. Havel, N. Boulant, G. Boutis, E. Fortunato, S. Lloyd, R. Martinez, C. Negrevergne, M. Pravia, Y. Sharf, G. Teklemariam, Y. S. Weinstein and W. H. Zurek, Fortschr. Phys., Special issue on Experimental Proposals for Quantum Computation 48, 875, 2000.
3. E. Knill, R. Laflamme, R. Martinez and C.-H. Tseng, Nature 404, 368, 2000.
4. K. Zyczkowski, P. Horodecki, A. Sanpera and M. Lewenstein, Phys. Rev. A 58, 883, 1998.
5. S. L. Braunstein, C. M. Caves, R. Jozsa, N. Linden, S. Popescu and R. Schack, Phys. Rev. Lett. 83, 1054, 1999.
6. A. Ekert and R. Jozsa, Phil. Trans. R. Soc. Lond. A 356, 1769, 1998.
7. N. Linden and S. Popescu, Phys. Rev. Lett. 87, 047901, 2001.
8. L.K. Grover, Phys. Rev. Lett. 79, 325, 1997.
9. P.W. Shor, in Proceedings of the 35th Annual Symposium on Fundamentals of Computer Science, 124, 1994.
10. R. Cleve, in An Introduction to Quantum Complexity Theory - Collected Papers on Quantum Computation and Quantum Information Theory, edited by C. Macchiavello, G.M. Palma, and A. Zeilinger, World Scientific.
11. R. Raz, Proceedings of the 31st ACM Symposium on Theory of Computing, 367, 1999.
12. C.H. Bennett, D.P. DiVincenzo, C.A. Fuchs, T. Mor, E. Rains, P.W. Shor, J.A. Smolin and W.K. Wootters, Phys. Rev. A 59, 1153, 1999.
13. H. Ollivier and W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2002).
14. T.M. Cover and J.A. Thomas, Elements of Information Theory, Wiley, New York, NY, 1991.
15. R. Schack and C.M. Caves, Phys. Rev. A 275, 350, 1999.
16. Sam Braunstein in Les Houches in March 2001 commented that this amounted to a proof by intimidation, i.e. the fact that many people have tried to make a classical model of NMR and failed does not amount to a proof that it is impossible to do, and we agree with this. On the other hand, not mentioning that many people have tried to find such classical models would be missing an important point.
17. E. Knill, Classicality of quantum information processing, quant-ph/0108102.
18. D. Gottesman, Phys. Rev. A 57, 127, 1998.
19. D. Poulin, Classicality of quantum information processing, quant-ph/0108102.
20. L.J. Schulman and U. Vazirani, Proceedings of the 31th Annual ACM Symposium on the Theory of Computation (STOC), pages 322, El Paso, Texas, 1998, ACM Press.
21. L. Emsley and A. Pines, Lectures on pulsed NMR, Proceedings of the International School of Physics "Enrico Fermi", volume CXXIII, ed. B. Maraviglia, p. 2949, 1994.
22. W. Zhang and D.G. Cory, Phys. Rev. Lett. 80, 1324, 1998.
23. G. J. Milburn, R. Laflamme, B. C. Sanders and E. Knill, Phys. Rev. A, in press, quant-ph/0112001.
24. E. Bernstein and U. Vazirani, Proceedings of the 25th Annual ACM Symposium on the Theory of Computing, San Diego, 1993 (ACM, New York, 1993), p. 11.
25. D.A. Meyer, Phys. Rev. Lett. 85, 2014, 2000.
26. E. Knill and R. Laflamme, Phys. Rev. Lett. 81, 5672, 1998.
27. P. Zanardi, Phys. Rev. Lett. 87, 077901, 2001.
28. L. Viola, E. Knill and R. Laflamme, J. Phys. A, 34, 7067, 2001.
29. D. Deutsch, The Fabric of Reality, Penguin, New-York, 1997.
30. U. Haeberlen and J.S. Waugh, Phys. Rev. 175, 453, 1968.
31. E.M. Fortunato, M.A. Pravia, N. Boulant, G. Teklemariam, T.F. Havel and D.G. Cory, Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing, J. Chem. Phys., in press.