2026-09-19T02:21:34Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/416822022-01-13T07:54:37Zcom_1721.1_7582com_1721.1_7581col_1721.1_131024
David G. Cory.
Choy, Jennifer T
Massachusetts Institute of Technology. Dept. of Nuclear Science and Engineering.
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
2008-05-19T16:08:21Z
2008-05-19T16:08:21Z
2007
2007
http://hdl.handle.net/1721.1/41682
220952385
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Nuclear Science and Engineering, 2007.
Includes bibliographical references (p. 57-60).
The subject of this thesis is devoted to a class of multiparticle entangled states known as the cluster-states. In particular, we focused on a system of four spins and studied the entanglement properties of a four-qubit cluster-state, using a set of entanglement measures for quantifying multipartite entanglement. We then experimentally prepared the linear cluster-state in a liquid NMR sample of crotonic acid, by applying a set of pulses generated by the Gradient Ascent Pulse Engineering (GRAPE) algorithm on a temporally averaged pseudo-pure state of four carbon spins. While our spectral results were consistent with the creation of a linear cluster-state, the reconstruction of the experimental density matrix via a full state tomography of the system revealed additional challenges in the detection of certain desired spin terms. These problems must be overcome before the system could be studied quantitatively.
by Jennifer T. Choy.
S.B.
60 p.
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
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http://dspace.mit.edu/handle/1721.1/7582
Nuclear Science and Engineering.
Cluster-state creation in liquid-state NMR
Thesis
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