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Characterizing Multiparticle Entanglement Using the Schmidt Decomposition of Operators



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Springer Spektrum


Paru le : 2024-01-03



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Description
Characterizing entanglement is an important issue in quantum information, as it is considered to be a resource for many applications such as quantum key distribution or quantum metrology. One useful tool to detect and quantify entanglement are witness operators. A standard way to construct them is based on the fidelity of pure states and mathematically relies on the Schmidt decomposition of vectors. In this book a method to build entanglement witnesses using the Schmidt decomposition of operators is presented. One can show that these are strictly stronger than the fidelity witnesses. Moreover, the concept can be generalized easily to the multipartite case, and one may use it to quantify the dimensionality of entanglement. Finally, this scheme will be used to provide two algorithms that can be combined to improve given witnesses for multiparticle entanglement.
Pages
102 pages
Collection
n.c
Parution
2024-01-03
Marque
Springer Spektrum
EAN papier
9783658432027
EAN PDF
9783658432034
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
1526 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
73,84 €
EAN EPUB
9783658432034
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
6840 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
73,84 €
About the author
Sophia Denker studied physics at the University of Siegen. Now she is investigating concepts of high dimensional entanglement under the tutelage of Prof. Dr. Otfried Gühne. Her master thesis was awarded with the “Studienpreis des Landkreises Altenkirchen 2023”.

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