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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2018, Volume 160, Book 2, Pages 213–219 (Mi uzku1445)  

Estimating entanglement in a class of $n$-qudit states

Sumiyoshi Abeabc

a College of Information Science and Engineering, Huaqiao University, Xiamen, 361021 China
b Mie University, Tsu, 514-8507 Japan
c Kazan Federal University, Kazan, 420008 Russia
References:
Abstract: The logarithmic derivative (or quantum score) of a positive definite density matrix appearing in the quantum Fisher information has been discussed, and its exact expression has been presented. The problem of estimating the parameters in a class of the Werner-type $N$-qudit states has been studied in the context of the quantum Cramér-Rao inequality. The largest value of the lower bound to the error of estimate by the quantum Fisher information has been shown to coincide with the separability point only in the case of two qubits. It has been found, on the other hand, that such largest values give rise to the universal fidelity that is independent of the system size.
Keywords: estimation of entanglement, Werner-type $N$-qudit states, quantum Fisher information.
Funding agency Grant number
National Natural Science Foundation of China 11775084
Japan Society for the Promotion of Science 26400391
16K05484
Ministry of Education and Science of the Russian Federation
This work was supported in part by the grants from the National Natural Science Foundation of China (project no. 11775084) and the grant-in-aid for scientific research from the Japan Society for the Promotion of Science (projects nos. 26400391 and 16K05484) and performed according to the Russian Government Program of Competitive Growth of Kazan Federal University.
Received: 24.11.2017
Bibliographic databases:
Document Type: Article
UDC: 517.4
Language: English
Citation: Sumiyoshi Abe, “Estimating entanglement in a class of $n$-qudit states”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160, no. 2, Kazan University, Kazan, 2018, 213–219
Citation in format AMSBIB
\Bibitem{Abe18}
\by Sumiyoshi~Abe
\paper Estimating entanglement in a~class of $n$-qudit states
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2018
\vol 160
\issue 2
\pages 213--219
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1445}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000460032400001}
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  • https://www.mathnet.ru/eng/uzku/v160/i2/p213
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