Singlet states and the estimation of eigenstates and eigenvalues of an unknown Controlled-$U$ gate

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F01%3A00005669" target="_blank" >RIV/00216224:14330/01:00005669 - 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
Singlet states and the estimation of eigenstates and eigenvalues of an unknown Controlled-$U$ gate
Original language description
We consider several problems that involve finding the eigenvalues and generating the eigenstates of unknown unitary gates. We first examine controlled-U gates that act on qubits and assume that we know the eigenvalues. It is then shown how to use singletstates to produce qubits in the eigenstates of the gate. We then remove the assumption that we know the eigenvalues and show how to both find the eigenvalues and produce qubits in the eigenstates. Finally. we look at the case where the unitary operationacts on qutrits and it has two eigenvalues of 1 and one of - 1. We are able to use a singlet state to produce a qutrit in the eigenstate corresponding to the - 1 eigenvalue.
Czech name
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Czech description
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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%2F98%2F0369" target="_blank" >GA201/98/0369: Informatics as the third methodology</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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