Entanglement Sharing without Entanglement Transmission

Author(s):  
Laszlo Gyongyosi ◽  
Sandor Imre
Keyword(s):  
2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Yi Ding ◽  
Songbo Xie ◽  
Joseph H. Eberly

2014 ◽  
Vol 90 (5) ◽  
Author(s):  
Rajarshi Pal ◽  
Somshubhro Bandyopadhyay ◽  
Sibasish Ghosh
Keyword(s):  

Science ◽  
2009 ◽  
Vol 324 (5928) ◽  
pp. 689-689
Keyword(s):  

2006 ◽  
Vol 04 (03) ◽  
pp. 383-393 ◽  
Author(s):  
GERARDO ADESSO ◽  
FABRIZIO ILLUMINATI

It is a central trait of quantum information theory that there exist limitations to the free sharing of quantum correlations among multiple parties. Such monogamy constraints have been introduced in a landmark paper by Coffman, Kundu and Wootters, who derived a quantitative inequality expressing a trade-off between the couplewise and the genuine tripartite entanglement for states of three qubits. Since then, a lot of efforts have been devoted to the investigation of distributed entanglement in multipartite quantum systems. In this paper we report, in a unifying framework, a bird's eye view of the most relevant results that have been established so far on entanglement sharing in quantum systems. We will take off from the domain of N qubits, graze qudits, and finally land in the almost unexplored territory of multimode Gaussian states of continuous variable systems.


2010 ◽  
Vol 10 (3&4) ◽  
pp. 223-238
Author(s):  
Y.-C. Ou ◽  
M.S. Byrd

\Negativity is regarded as an important measure of entanglement in quantum information theory. In contrast to other measures of entanglement, it is easily computable for bipartite states in arbitrary dimensions. In this paper, based on the negativity and realignment, we provide a set of entanglement-sharing constraints for multipartite states, where the entanglement is not necessarily limited to bipartite and pure states, thus aiding in the quantification of constraints for entanglement-sharing. These may find applications in studying many-body systems.


2007 ◽  
Vol 76 (6) ◽  
Author(s):  
Gerardo Adesso ◽  
Ivette Fuentes-Schuller ◽  
Marie Ericsson

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