Science, Nature & Maths      Physics

Characterizing Multiparticle Entanglement Using the Schmidt Decomposition of Operators (BestMasters)

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Book Details
Language
English
Publishers
Springer Spektrum; 1st ed. 2023 edition (4 Jan. 2024)
Weight
0.16 KG
Publication Date
04/01/2024
ISBN-10
3658432020
Pages
110 pages
ISBN-13
9783658432027
Dimensions
14.8 x 0.66 x 21 cm
SKU
9783658432027
Author Name
Sophia Denker (Author)
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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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