About: Process reconstruction from incomplete and/or inconsistent data     Goto   Sponge   NotDistinct   Permalink

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Description
  • We analyze how an action of a qubit channel (map) can be estimated from the measured data that are incomplete or even inconsistent. That is, we consider situations when measurement statistics is insufficient to determine consistent probability distributions. As a consequence either the estimation (reconstruction) of the channel completely fails or it results in an unphysical channel (i.e., the corresponding map is not completely positive). We present a regularization procedure that allows us to derive physically reasonable estimates (approximations) of quantum channels. We illustrate our procedure on specific examples and we show that the procedure can be also used for a derivation of optimal approximations of operations that are forbidden by the laws of quantum mechanics (e.g., the universal NOT gate).
  • We analyze how an action of a qubit channel (map) can be estimated from the measured data that are incomplete or even inconsistent. That is, we consider situations when measurement statistics is insufficient to determine consistent probability distributions. As a consequence either the estimation (reconstruction) of the channel completely fails or it results in an unphysical channel (i.e., the corresponding map is not completely positive). We present a regularization procedure that allows us to derive physically reasonable estimates (approximations) of quantum channels. We illustrate our procedure on specific examples and we show that the procedure can be also used for a derivation of optimal approximations of operations that are forbidden by the laws of quantum mechanics (e.g., the universal NOT gate). (en)
Title
  • Process reconstruction from incomplete and/or inconsistent data
  • Process reconstruction from incomplete and/or inconsistent data (en)
skos:prefLabel
  • Process reconstruction from incomplete and/or inconsistent data
  • Process reconstruction from incomplete and/or inconsistent data (en)
skos:notation
  • RIV/00216224:14330/05:00013061!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/04/1153), Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika
  • No. 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 538965
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/05:00013061
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quantum process reconstruction (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [2CE4C877BED6]
http://linked.open...i/riv/nazevZdroje
  • The European Physical Journal D
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • Vol. 32
http://linked.open...iv/tvurceVysledku
  • Bužek, Vladimír
  • Ziman, Mário
  • Plesch, Martin
http://linked.open...ain/vavai/riv/wos
  • 000227608900009
http://linked.open...n/vavai/riv/zamer
issn
  • 1434-6060
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
is http://linked.open...avai/riv/vysledek of
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