TY - JOUR
T1 - Optimal experiment design for quantum state tomography of a molecular vibrational mode
AU - Branderhorst, M. P.A.
AU - Walmsley, I. A.
AU - Kosut, R. L.
AU - Rabitz, Herschel Albert
PY - 2008/4/14
Y1 - 2008/4/14
N2 - Optimal experiment design is used to collect a data set for the complete reconstruction of the vibrational quantum state of diatomic potassium molecules with maximum accuracy and a minimum number of experiments. The optimal configuration of experimental settings is obtained by minimizing the Cramér-Rao lower bound to the accuracy, which is attained in our reconstruction. The quantum state is reconstructed from the data set using maximum-likelihood estimation. Both optimal experiment design and maximum-likelihood estimation are solved efficiently as convex optimization problems.
AB - Optimal experiment design is used to collect a data set for the complete reconstruction of the vibrational quantum state of diatomic potassium molecules with maximum accuracy and a minimum number of experiments. The optimal configuration of experimental settings is obtained by minimizing the Cramér-Rao lower bound to the accuracy, which is attained in our reconstruction. The quantum state is reconstructed from the data set using maximum-likelihood estimation. Both optimal experiment design and maximum-likelihood estimation are solved efficiently as convex optimization problems.
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U2 - 10.1088/0953-4075/41/7/074004
DO - 10.1088/0953-4075/41/7/074004
M3 - Article
AN - SCOPUS:42549128890
SN - 0953-4075
VL - 41
JO - Journal of Physics B: Atomic, Molecular and Optical Physics
JF - Journal of Physics B: Atomic, Molecular and Optical Physics
IS - 7
M1 - 074004
ER -