# Tighter Constraints of Multiqubit Entanglement

@article{Yang2019TighterCO,
title={Tighter Constraints of Multiqubit Entanglement},
author={Long-Mei Yang and Bin Chen and S. M. Fei and Zhi-Xi Wang},
journal={Communications in Theoretical Physics},
year={2019}
}
• Published 11 February 2019
• Physics
• Communications in Theoretical Physics
Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We provide classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entanglement of formation, negativity, Tsallis-$q$ entanglement and Renyi-$\alpha$ entanglement, respectively. We show that these inequalities are tighter than the existing ones for some classes of quantum states.
14 Citations

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## References

SHOWING 1-10 OF 45 REFERENCES
Tighter monogamy relations in multiqubit systems
• Physics
• 2018
Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence C, the entanglement of formation E, negativity
General polygamy inequality of multiparty quantum entanglement
Using entanglement of assistance, this work establishes a general polygamy inequality of multi-partyEntanglement in arbitrary dimensional quantum systems and relates this result with the monogamy of entangler to show that the entropy of Entanglement is an universal entanglements measure that bounds both monogamy and polygamy ofMulti-party quantum entanglers.
Polygamy of distributed entanglement
• Physics
• 2009
While quantum entanglement is known to be monogamous (i.e., shared entanglement is restricted in multipartite settings), here we show that distributed entanglement (or the potential for entanglement)
Entanglement Monogamy Relations of Qubit Systems
• Physics
• 2014
We investigate the monogamy relations related to the concurrence and the entanglement of formation. General monogamy inequalities given by the {\alpha}th power of concurrence and entanglement of
Tighter entanglement monogamy relations of qubit systems
• Physics
Quantum Inf. Process.
• 2017
New entanglement monogamy relations satisfied by the α-th power of concurrence for all, and the Â£2 power of theEntanglement of formation for all are presented.
Duality for monogamy of entanglement
• Physics
• 2006
We establish duality for monogamy of entanglement: whereas monogamy of entanglement inequalities provide an upper bound for bipartite sharability of entanglement in a multipartite system, we prove
General monogamy inequality for bipartite qubit entanglement.
• Physics
Physical review letters
• 2006
We consider multipartite states of qubits and prove that their bipartite quantum entanglement, as quantified by the concurrence, satisfies a monogamy inequality conjectured by Coffman, Kundu, and
Tsallis entropy and general polygamy of multiparty quantum entanglement in arbitrary dimensions
We establish a unified view of the polygamy of multiparty quantum entanglement in arbitrary dimensions. Using quantum Tsallis-$q$ entropy, we provide a one-parameter class of polygamy inequalities of
Monogamy of multi-qubit entanglement using Rényi entropy
• Physics, Computer Science
• 2010
A class of bipartite entanglement measures based on Rényi-α entropy with an analytic formula in two-qubit systems for α ⩾ 1.
Monogamy relation of multi-qubit systems for squared Tsallis-q entanglement
• Physics
Scientific reports
• 2016
The monogamy relation in terms of the squared Tsallis-q entanglement for an arbitrary multi-qubit systems is proved and it is shown that the multipartiteEntanglement indicator still works well even when the indicator based on the squared concurrence loses its efficacy.