This experiment will let you
perform a series of simple quantum computations
on a two spin system, demonstrating one and two
quantumbit quantum logic gates, and a circuit
implementing the DeutschJozsa quantum algorithm.
You will use NMR techniques and manipulate the
state of a proton and a carbon nucleus in a chloroform
molecule, measuring ensemble nuclear magnetization.
WARNING: you should know Matlab
well to successfully do this experiment! You will
measure:
the coupling constant describing
the electronmediated interaction between the
proton and carbon nuclear spins of chloroform,
the classical inputoutput truth table for
a controllednot gate
the numerical
output of the DeutschJozsa quantum algorithm,
and
optionally, the output and oscillatory
behavior of the Grover quantum search algorithm.
Student Wiki: Quantum Information processing with NMR
Download
Lab Guide in PDF format
(certificates
required)
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S. Lloyd."Experimentalrealization of a quantum algorithm". Nature, 393 no. 6681
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Chuang, "Quantum Computing with Molecules", Scientific American, June 1998.
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 [2000] D. Cory, R. LaFlamme, E. Knill, L. Viola, T. Havel, N. Boulant, G. Boutis, E. Fortunato, S. Lloyd, R. Martinez, C. Negrevergne, M. Pravia, Y. Sharf., G. Teklemariam, Y. Weinstein and W. Zurek, "NMR Based Quantum Information Processing: Achievements and Prospects", Fortschr. Phys. 48, pp. 875907 (2000)
 [2000] I.L. Chuang and M.A.Nielsen, Quantum Computation and Quantum Information : Chapter 1, November 2000
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 [2002] T.F. Havel, D.G. Cory, S. Lloyd, N. Boulant, E.M. Fortunato, M.A. Pravia, G. Teklemariam, Y.S. Weinstein, A. Bhattacharyya, and J. Hou, "Quantum Information Processing by nuclear magnetic resonance spectroscopy", Am. J. Phys., Vol. 70, pp345362, March 2002
 [2003] I.L. Chuang, "How proton and carbon spectra arise from density matrices", April 2003
 [2003] S. Gulde, M. Riebe, G. Lancaster, C. Becher, J. Eschner, H. Haffner, F. SchmidtKaler, I. Chuang and R. Blatt, "Implementation of the DeutschJoza algorithm on an iontrop quantum computer", Nature 421, 48 (2003)
 J. Sakurai Notes on Density Matricesfrom Modern Quantum Mechanics 2nd Edition, 1994
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