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Back and forth nudging for quantum state reconstruction

  • Princeton University
  • Mines ParisTech

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We propose an estimation method allowing to identify the initial state of a quantum system based on the continuous weak measurement of a certain physical observable over a fixed interval of time. The algorithm is based on the back-and-forth nudging method consisting in iterative application of Luenberger observers for the time-forward and time-backward dynamics. A clever change of variables unveils the needed symmetry in the observer design leading to the decrease of a certain distance (in an appropriate metric) between the estimator and the main system, both in forward and backward directions.

Original languageEnglish
Title of host publicationFinal Program and Abstract Book - 4th International Symposium on Communications, Control, and Signal Processing, ISCCSP 2010
DOIs
Publication statusPublished - 28 Jun 2010
Event4th International Symposium on Communications, Control, and Signal Processing, ISCCSP-2010 - Limassol, Cyprus
Duration: 3 Mar 20105 Mar 2010

Publication series

NameFinal Program and Abstract Book - 4th International Symposium on Communications, Control, and Signal Processing, ISCCSP 2010

Conference

Conference4th International Symposium on Communications, Control, and Signal Processing, ISCCSP-2010
Country/TerritoryCyprus
CityLimassol
Period3/03/105/03/10

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