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          Institute: MPI für Gravitationsphysik     Collection: Laser Interferometry & Gravitational Wave Astronomy     Display Documents



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ID: 439741.0, MPI für Gravitationsphysik / Laser Interferometry & Gravitational Wave Astronomy
Markov chain Monte Carlo estimation of quantum states
Authors:DiGuglielmo, J.; Messenger, C.; Fiurasek, J.; Hage, B.; Samblowski, A.; Schmidt, T.; Schnabel, R.
Date of Publication (YYYY-MM-DD):2009
Title of Journal:Physical Review A
Volume:79
Issue / Number:3
Sequence Number of Article:032114
Review Status:not specified
Audience:Not Specified
Abstract / Description:We apply a Bayesian data analysis scheme known as the Markov chain Monte Carlo to the tomographic reconstruction of quantum states. This method yields a vector, known as the Markov chain, which contains the full statistical information concerning all reconstruction parameters including their statistical correlations with no a priori assumptions as to the form of the distribution from which it has been obtained. From this vector we can derive, e.g., the marginal distributions and uncertainties of all model parameters, and also of other quantities such as the purity of the reconstructed state. We demonstrate the utility of this scheme by reconstructing the Wigner function of phase-diffused squeezed states. These states possess non-Gaussian statistics and therefore represent a nontrivial case of tomographic reconstruction. We compare our results to those obtained through pure maximum-likelihood and Fisher information approaches.
External Publication Status:published
Document Type:Article
Communicated by:Karsten Danzmann
Affiliations:MPI für Gravitationsphysik/Teilinstitut Hannover
MPI für Gravitationsphysik/Laser Interferometry & Gravitational Wave Astronomy
Identifiers:ISI:000264770200029 [ID No:1]
DOI:10.1103/PhysRevA.79.032114 [ID No:2]
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