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Characterizing Multiparticle Entanglement Using the Schmidt Decomposition of Operators

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Characterizing Multiparticle Entanglement Using the Schmidt Decomposition of Operators

Sophia Denker

Springer Spektrum
Collection: BestMasters
Publication date : 2024-01-03

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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.

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About the book

Author

Sophia Denker

Imprint

Springer Spektrum

Collection

BestMasters

Publication date

2024-01-03

Pages

102 pages

Print ISBN

9783658432027

Language

English

Ebook informations

EAN PDF

9783658432034

Price

£59.99

Copy count 1

Print count 10

File size 1526 Ko

Informations accessibility

EAN EPUB

9783658432034

Price

£59.99

Copy count 1

Print count 10

File size 6840 Ko

Informations accessibility

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About author(s)

Sophia Denker

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