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Entanglement Theory Quantum Correlations

G_q-concurrence and entanglement constraints in multiqubit systems

arXiv
Authors: Hui Li, Ting Gao, Fengli Yan

Year

2024

Paper ID

66026

Status

Preprint

Abstract Read

~2 min

Abstract Words

133

Citations

N/A

Abstract

In this paper, we introduce a category of one-parameter bipartite entanglement quantifiers, termed Gq-concurrence (q>1), and show rigorously that they satisfy all the axiomatic conditions of an entanglement measure and can be considered as a generalization of concurrence. In addition, we establish an analytic formula relating Gq-concurrence to concurrence for 1<qleq2 in two-qubit systems. Furthermore, the polygamy relation is presented based on the Gq-concurrence of assistance in multiqubit systems. As far as Gq-concurrence $1<qleq2$ itself is concerned, however, it does not obey the monogamy relation, but we prove that the square of Gq-concurrence does. By means of this monogamy inequality, we construct a set of entanglement indicators that can detect genuinely multiqubit entangled states even when the tangle loses its efficacy.

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  • In this paper, we introduce a category of one-parameter bipartite entanglement quantifiers, termed Gq-concurrence (q>1), and show rigorously that they satisfy all the axiomatic...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2406.19080 [2] arXiv https://arxiv.org/abs/2406.19080 [3] Publisher https://arxiv.org/abs/2406.19080

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