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Springer Spektrum

Characterizing Multiparticle Entanglement Using the Schmidt Decomposition of Operators

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Product Code: 9783658432027
ISBN13: 9783658432027
Condition: New
$76.11

Characterizing Multiparticle Entanglement Using the Schmidt Decomposition of Operators

$76.11
 
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.


Author: Sophia Denker
Publisher: Springer Spektrum
Publication Date: Jan 04, 2024
Number of Pages: NA pages
Language: English
Binding: Paperback
ISBN-10: 3658432020
ISBN-13: 9783658432027
 

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