Process reconstruction from incomplete and/or inconsistent data

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F05%3A00013061" target="_blank" >RIV/00216224:14330/05:00013061 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Process reconstruction from incomplete and/or inconsistent data
Original language 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 lawsof quantum mechanics (e.g., the universal NOT gate).
Czech name
Rekonstrukce procesu z nekompletních a (nebo) nekonzistentních dat
Czech description
Tomografie kvantových procesů z neúplných či nekonzistentních dat.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F04%2F1153" target="_blank" >GA201/04/1153: Quantum resources and primitives</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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