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Back and forth nudging for quantum state reconstruction

Authors: A. Donovan, M. Mirrahimi, P. Rouchon, Communications, Control and Signal Processing (ISCCSP), pp: 1-5, 2010.
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.
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BibTeX:
@Proceedings{,
author = {Ashley Donovan, Mazyar Mirrahimi, Pierre Rouchon},
editor = {},
title = {Back and forth nudging for quantum state reconstruction},
booktitle = {4th International Symposium on Communications, Control and Signal Processing},
volume = {},
publisher = {},
address = {Limassol, Cyprus},
pages = {1-5},
year = {2010},
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.},
keywords = {}}