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

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About: Singlet states and the estimation of eigenstates and eigenvalues of an unknown Controlled-$U$ gate Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 singlet states 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 operation acts 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. 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 singlet states 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 operation acts 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. (en)
Title	Singlet states and the estimation of eigenstates and eigenvalues of an unknown Controlled-$U$ gate Singlet states and the estimation of eigenstates and eigenvalues of an unknown Controlled-$U$ gate (en)
skos:prefLabel	Singlet states and the estimation of eigenstates and eigenvalues of an unknown Controlled-$U$ gate Singlet states and the estimation of eigenstates and eigenvalues of an unknown Controlled-$U$ gate (en)
skos:notation	RIV/00216224:14330/01:00005669!RIV/2002/GA0/143302/N
http://linked.open.../vavai/riv/strany	2303
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/98/0369)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2002
http://linked.open...aciTvurceVysledku	Bužek, Vladimír Hillery, Mark
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	695867
http://linked.open...ai/riv/idVysledku	RIV/00216224:14330/01:00005669
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	QUANTUM (en)
http://linked.open.../riv/klicoveSlovo	QUANTUM
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[5540B77C9AB7]
http://linked.open...i/riv/nazevZdroje	Physical Review A
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Informatics as the third methodology
http://linked.open...UplatneniVysledku	2001
http://linked.open...v/svazekPeriodika	64
http://linked.open...iv/tvurceVysledku	Hillery, Mark Bůžek, Vladimír
issn	1050-2947
number of pages	5 (xsd:int)
http://localhost/t...ganizacniJednotka	14330

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