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Publication Citation: Innovations in Maximum Likelihood Quantum State Tomography

NIST Authors in Bold

Author(s): Scott C. Glancy; Emanuel H. Knill; Thomas Gerrits; Tracy S. Clement; Brice R. Calkins; Adriana E. Lita; Aaron J. Miller; Alan L. Migdall; Sae Woo Nam; Richard P. Mirin;
Title: Innovations in Maximum Likelihood Quantum State Tomography
Published: October 09, 2009
Abstract: At NIST we are engaged in an experiment whose goal is to create superpositions of optical coherent states (such superpositions are sometimes called "Schroedinger cat" states). We use homodyne detection to measure the light, and we apply maximum likelihood quantum state tomography to the homodyne data to estimate the state that we have created. To assist in this analysis we have made a few improvements to quantum state tomography: we have devised a new iterative method (that has faster convergence than R*\rho*R iterations) to find the maximum likelihood state, we have formulated a stopping criterion that can upper-bound the actual maximum likelihood, and we have implemented a bias-corrected resampling strategy to estimate confidence intervals.
Website: http://pirsa.org/09090003/
Keywords: homodyne detection, maximum likelihood, quantum state estimation, quantum state tomography
Research Areas: Statistics, Quantum Information, Quantum Optics
PDF version: PDF Document Click here to retrieve PDF version of paper (1MB)