Optimal experiment design for quantum state tomography of a molecular vibrational mode

M. P.A. Branderhorst, I. A. Walmsley, R. L. Kosut, Herschel Albert Rabitz

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number074004
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume41
Issue number7
DOIs
StatePublished - Apr 14 2008

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics

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