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 -