About: Estimation of potentially unphysical maps

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	When standard methods of process (black-box) estimation are applied straightforwardly then it may happen that some sets of experimental data result in unphysical estimations of the corresponding channels (maps) describing the process. To prevent this problem, one can use the method of maximum likelihood (MML), which provides an efficient scheme for reconstruction of quantum channels. This scheme always results in estimations of channels that are fully physical, e.g. the corresponding maps are linear, positive and completely positive. To show this property, we use the MML for a derivation of physical approximations of truly unphysical operations. In particular, we analyze physical approximations of the universal-NOT gate, the quantum nonlinear polarization rotation and the map $\rho -> \rho^2$. Given the result of MML, we examine retrospectively the quality of the experiment. Depending on the resulting value of the MML functional we can determine (physical) consistency of the input data. When standard methods of process (black-box) estimation are applied straightforwardly then it may happen that some sets of experimental data result in unphysical estimations of the corresponding channels (maps) describing the process. To prevent this problem, one can use the method of maximum likelihood (MML), which provides an efficient scheme for reconstruction of quantum channels. This scheme always results in estimations of channels that are fully physical, e.g. the corresponding maps are linear, positive and completely positive. To show this property, we use the MML for a derivation of physical approximations of truly unphysical operations. In particular, we analyze physical approximations of the universal-NOT gate, the quantum nonlinear polarization rotation and the map $\rho -> \rho^2$. Given the result of MML, we examine retrospectively the quality of the experiment. Depending on the resulting value of the MML functional we can determine (physical) consistency of the input data. (en)
Title	Estimation of potentially unphysical maps Estimation of potentially unphysical maps (en)
skos:prefLabel	Estimation of potentially unphysical maps Estimation of potentially unphysical maps (en)
skos:notation	RIV/00216224:14330/06:00016177!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/04/1153), Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika	No. 3
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Ziman, Mário Bužek, Vladimír Plesch, Martin
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	Masarykova univerzita / Fakulta informatiky
http://linked.open...dnocenehoVysledku	474470
http://linked.open...ai/riv/idVysledku	RIV/00216224:14330/06:00016177
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	unphysical maps (en)
http://linked.open.../riv/klicoveSlovo	unphysical maps
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[A8276C130D50]
http://linked.open...i/riv/nazevZdroje	Open Systems & Information Dynamics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Quantum resources and primitives
http://linked.open...UplatneniVysledku	2006
http://linked.open...v/svazekPeriodika	Vol. 13
http://linked.open...iv/tvurceVysledku	Bužek, Vladimír Ziman, Mário Plesch, Martin Štelmachovič, Peter
http://linked.open...ain/vavai/riv/wos	000240531700004
http://linked.open...n/vavai/riv/zamer	Highly Parallel and Distributed Computing Systems
issn	1230-1612
number of pages	8 (xsd:int)
http://localhost/t...ganizacniJednotka	14330
is http://linked.open...avai/riv/vysledek of	Estimation of potentially unphysical maps Estimation of potentially unphysical maps

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