# 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} }

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

Tighter Monogamy Constraints in Multi-Qubit Entanglement Systems

- Physics
- 2020

We develop monogamy relations of multiqubit quantum entanglement in terms of the concurrence, entanglement of formation, convex-roof extended negativity and Tsallis- q entanglement. These monogamy…

Tighter monogamy and polygamy relations of multiparty quantum entanglement

- PhysicsQuantum Inf. Process.
- 2020

Using the power of the bipartite entanglement measure, this work establishes a class of tight monogamy relations of multiparty entanglements with larger lower bounds in comparison to all knownEntanglement monogamy Relations, and gives aclass of tight polygamy relations of multi-party entangling with smaller upper bounds than the existing ones.

Enhanced Monogamy Relations in Multiqubit Systems

- Physics
- 2020

We investigate the monogamy relations of multipartite entanglement in terms of the α th power of concurrence, entanglement of formation, negativity and Tsallis-q entanglement. Enhanced new monogamy…

Tighter constraints of multiqubit entanglement in terms of Rényi-α entropy

- Physics, Computer ScienceChinese Physics B
- 2020

This work presents a class of monogamy inequalities related to the $\mu$th power of the entanglement measure based on R\'{e}nyi-$\alpha$ entropy, as well as polygamy relations in terms of the $th powered of R\'(e)nyi)-alpha$ entangler of assistance.

Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations

- PhysicsInternational Journal of Theoretical Physics
- 2022

Monogamy and polygamy relations characterize the quantum correlation distributions among multipartite quantum systems. We investigate the monogamy and polygamy relations satisfied by measures of…

Tighter monogamy and polygamy relations for a superposition of the generalized W-class state and vacuum

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2021

Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We investigate the monogamy and polygamy relations with respect to any partitions for a…

Tighter Weighted Relations of the Tsallis-q Entanglement

- Physics
- 2019

Monogamy and polygamy relations characterize the distribution of entanglement for multipartite systems. In this paper, we establish a class of tighter weighted monogamy relations of multi-qubit…

Tighter constraints of multiqubit entanglement for negativity

- PhysicsQuantum Inf. Process.
- 2020

A new class of monogamy inequalities of multiqubit entanglement based on the $\alpha$th power of SCREN for $\alpha\geq1$ and polygamy inequalities for $0\leq\alpha\leQ1$ in terms of squared convex-roof extended negativity of assistance (SCRENoA) is provided.

Tighter monogamy relations in multiparty quantum systems

- Physics, Mathematics
- 2022

We investigate tight monogamy relations of multiparty quantum entanglement for any quantum state in this paper. First, we obtain a class of lower bounds for multiparty quantum systems which improve…

Tightening monogamy and polygamy relations of unified entanglement in multipartite systems

- PhysicsQuantum Inf. Process.
- 2022

We study the monogamy and polygamy inequalities of uniﬁed entanglement in multipartite quantum systems. We ﬁrst derive the monogamy inequality of uniﬁed-( q, s ) entanglement for multiqubit states…

## 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

- Physics, Computer Science
- 2012

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

- PhysicsQuantum 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.

- PhysicsPhysical 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

- Physics
- 2016

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

- PhysicsScientific 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.