About: Markov chain Monte Carlo estimation of quantum states

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 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 (en)
Title	Markov chain Monte Carlo estimation of quantum states Markov chain Monte Carlo estimation of quantum states (en)
skos:prefLabel	Markov chain Monte Carlo estimation of quantum states Markov chain Monte Carlo estimation of quantum states (en)
skos:notation	RIV/61989592:15310/09:00010235!RIV10-MSM-15310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(7E08028), Z(MSM6198959213)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Fiurášek, Jaromír
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	324769
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/09:00010235
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	quantum state estimation; maximum likelihood; Bayesian analysis (en)
http://linked.open.../riv/klicoveSlovo	maximum likelihood Bayesian analysis quantum state estimation
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[0C9DB0B67522]
http://linked.open...i/riv/nazevZdroje	Physical Review A
http://linked.open...in/vavai/riv/obor	BH
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	7 (xsd:int)
http://linked.open...vavai/riv/projekt	Computing with Mesoscopic Photonic and Atomic States
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	79
http://linked.open...iv/tvurceVysledku	Fiurášek, Jaromír Schnabel, Roman DiGuglielmo, James Hage, Boris Samblowski, Aiko Messenger, Chris Schmidt, Tabea
http://linked.open...n/vavai/riv/zamer	Measurement and Information in Optics
issn	1050-2947
number of pages	7 (xsd:int)
http://localhost/t...ganizacniJednotka	15310

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