Tighter monogamy relations of multiqubit entanglement in terms of Rényi-α entanglement

@article{Gao2020TighterMR,
  title={Tighter monogamy relations of multiqubit entanglement in terms of R{\'e}nyi-$\alpha$ entanglement},
  author={Limin Gao and Fengli Yan and Ting Gao},
  journal={Communications in Theoretical Physics},
  year={2020},
  volume={72}
}
We explore the existence of monogamy relations in terms of Rényi-α entanglement. By using the power of the Rényi-α entanglement, we establish a class of tight monogamy relations of multiqubit entanglement with larger lower bounds than the existing monogamy relations for α ≥ 2, the power η > 1, and 2 > α ≥ 7 − 1 2 , the power η > 2, respectively. 

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References

SHOWING 1-10 OF 44 REFERENCES

Tighter monogamy relations in multiqubit systems

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

Tightening Monogamy and Polygamy Inequalities of Multiqubit Entanglement

TLDR
This paper tights monogamy and polygamy constraints for the squared convex-roof extended negativity and its dual measure by employing a genetic algorithm that optimizes inequality residual functions to improve the monogami and polygamy relations of these entanglement measures.

Tighter monogamy and polygamy relations in multiqubit systems

TLDR
Investigation of monogamy and polygamy relations in terms of concurrence, Rényi α-entropy entanglement and Tsallis q-ent entropy entanglements finds some relations are tighter than the existing monogamyand polygamy relations.

General monogamy inequality for bipartite qubit entanglement.

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

Monogamy inequality for distributed gaussian entanglement.

We show that for all n-mode Gaussian states of continuous variable systems, the entanglement shared among n parties exhibits the fundamental monogamy property. The monogamy inequality is proven by

Monogamy of correlations versus monogamy of entanglement

TLDR
The relationship between sharing non-local quantum correlations and sharing mixed entangled states is investigated, and already for the simplest case of bi-partite correlations and qubits this is shown to be non-trivial.

General monogamy relation of multiqubit systems in terms of squared Rényi-α entanglement

We prove that the squared R\'{e}nyi-$\alpha$ entanglement (SR$\alpha$E), which is the generalization of entanglement of formation (EOF), obeys a general monogamy inequality in an arbitrary $N$-qubit

Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity

TLDR
It is shown that all proven MOE relations using concurrence can be rephrased in terms of CREN, and that higher-dimensional (qudit) extensions of MOE in termsof CREN are not disproven by any of the counterexamples used to disprove qudit extensions ofMOE in Terms of concurrence.

Monogamy of Correlations vs . Monogamy of Entanglement

A fruitful way of studying physical theories is via the question whether the possible physical states and different kinds of correlations in each theory can be shared to different parties. Over the

Are general quantum correlations monogamous?

TLDR
It is proved, in general, that any measure of correlations that is monogamous for all states and satisfies reasonable basic properties must vanish for all separable states: only entanglement measures can be strictly monogamous.