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Constructive entanglement test from triangle inequality

Abstract

We derive a simple lower bound on the geometric measure of entanglement for mixed quantum states in the case of a general multipartite system. The main ingredient of the presented derivation is the triangle inequality applied to the root infidelity distance in the space of density matrices. The obtained bound leads to entanglement criteria with a straightforward interpretation. The proposed criteria provide an experimentally accessible, powerful entanglement test.

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
Journal of Physics A-Mathematical and Theoretical no. 47, edition 42, pages 1 - 14,
ISSN: 1751-8113
Language:
English
Publication year:
2014
Bibliographic description:
Rudnicki Ł., Puchała Z., Horodecki P., Życzkowski K.: Constructive entanglement test from triangle inequality// Journal of Physics A-Mathematical and Theoretical. -Vol. 47, iss. 42 (2014), s.1-14
DOI:
Digital Object Identifier (open in new tab) 10.1088/1751-8113/47/42/424035
Verified by:
Gdańsk University of Technology

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