Abstract
We report on the experimental simulation of spin squeezing using a liquid-state nuclear magnetic resonance (NMR) quantum information processor. This was done by identifying the energy levels within the symmetric subspace of a system of n spin-1/2 nuclei with the energy levels of the simulated spin-(n/2) system. The results obtained for our simulations of spin-1 and spin-3/2 systems are consistent with earlier theoretical studies of spin squeezing, and illustrate interesting relations between the degree of squeezing and the strength of the correlations among the underlying spin-1/2 particles.
Similar content being viewed by others
REFERENCES
S. H. Chen and M. Kotlarchyk, Interactions of Photons and Neutrons with Matter (World Scientific, Singapore, 1997).
M. O. Scully, Quantum Optics (Cambridge University Press, Cambridge, 1997).
L.-M. Duan, A. Sorensen, J. I. Chirac, and P. Zoller, Phys. Rev. Lett. 85, 3991-3994 (2000).
M. Kitagawa and M. Ueda, Phys. Rev. A 47, 5138-5143 (1993).
A. Sorensen, L.-M. Duan, J. I. Cirac, and P. Zoller, Nature 409, 63-65 (2001).
D. J. Wineland, J. J. Bollinger, W. M. Itano, and F. L. Moore, Phys. Rev. A 46, 6797-6800 (1992).
D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, Phys. Rev. A 50, 67-88 (1994).
K. Wodkiewicz, J. Mod. Opt. 34, 941 (1987).
K. Wodkiewicz and J. Eberly, J. Opt. Soc. Am. B 2, 458 (1985).
G. S. Agarwal and R. R. Puri, Phys. Rev. A 41, 3782-3791 (1990).
A. Sorensen and K. Molmer, Phys. Rev. A 83, 2274-2277 (1999).
A. Sorensen and K. Molmer, Phys. Rev. Lett. 83, 2274-2277 (1999).
A. Kuzmich, L. Mandel, and N. P. Bigelow, Phys. Rev. Lett., 85, 1594 (2000).
A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, NJ, 1974).
M. E. Rose, Elementary theory of Angular Momentum (Wiley, 1957, reprinted by Dover, Newyork, 1995).
A. R. Usha Devi, X. Wang, and B. C. Sanders, Quantum Inf. Process. 2, 207-220, (2003).
A. J. Shaka and R. Freeman, J. Magn. Reson. 55, 487-493 (1983).
E. M. Fortunato, M. A. Pravia, N. Boulant, G. Teklemariam, T. F. Havel, and D. G. Cory, J. Chem. Phys. 116, 7599-7606 (2002).
M. A. Pravia, N. Boulant, J. Emerson, A. Farid, E. M. Fortunato, T. F. Havel, R. Martinez, and D. G. Cory. J. Chem. Phys. 119, 9993-10001 (2003).
R. Freeman, Spin Choreography (Oxford University Press, oxford, 1998).
Y. S. Weinstein, M. A. Pravia, E. M. Fortunato, S. Lloyd, and D. G. Cory, Phys. Rev. Lett. 86, 1889-1891 (2001).
T. F. Havel, S. S. Somaroo, C.-H. Tseng, and D. G. Cory, in Proceedings of the Applicable Algebra in Engineering, Communications and Computing, vol. 10, Springer-Verlag, Berlin, 2000, pp. 339-374
R. Laflamme, E. Knill, D. G. Cory, E. M. Fortunato, T. F. Havel, C. Miquel, R. Martinez, C. Negrevergne, G. Ortiz, M. A. Pravia, Y. Sharf, S. Sinha, R. Somma, and L. Viola, Los Alamos Sci. 27, 2-37 (2002).
M. D. Price, T. F. Havel, and D. G. Cory, Phys. D 120, 82-101 (1998).
G. Teklemariam, E. M. Fortunato, M. A. Pravia, T. F. Havel, and D. G. Cory, Phys. Rev. Lett. 86, 5845-5849 (2001).
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
R. Laflamme, E. Knill, W. H. Zurek, P. Catasti, and S. Marathan, Phil. Trans. R. Soc. Lond. A 356, 1941-1948 (1998).
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).
S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022-5025 (1997).
W. K. Wootters, Phys. Rev. Lett. 80, 2245-2248 (1998).
Xiaoguang Wang and K. Molmer, Eur. Phys. J. D 18, 385-391 (2002).
D. A. Meyer and N. R. Wallach, J. Math. Phys. 43, 4273-4278 (2002).
Rights and permissions
About this article
Cite this article
Sinha, S., Emerson, J., Boulant, N. et al. Experimental Simulation of Spin Squeezing by Nuclear Magnetic Resonance. Quantum Information Processing 2, 433–448 (2003). https://doi.org/10.1023/B:QINP.0000042202.87144.cb
Issue Date:
DOI: https://doi.org/10.1023/B:QINP.0000042202.87144.cb