arXiv subjects

Ya-Ya Ren

Publications and source records attributed to Ya-Ya Ren.

3 recordsLinked to original sources

arXiv2022

Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations

Monogamy and polygamy relations characterize the quantum correlation distributions among multipartite quantum systems. We investigate the monogamy and polygamy relations satisfied by measures of general quantum correlation. By using the Hamming weight, we derive new monogamy and polygamy inequalities satisfied by the $β$-th power and the $α$-th power of general quantum correlations, respectively. We show that these monogamy and polygamy relations are tighter than the existing ones, such as [Int. J. Theor. Phys. 60, 1455-1470 (2021)]. Taking concurrence and the Tsallis-$q$ entanglement of assistance as examples, we show the advantages of our results.

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arXiv2021

Tighter constraints of multiqubit entanglement in terms of unified entropy

We present classes of monogamy inequalities related to the $α$-th ($α\geq 1$) power of the entanglement measure based on the unified-($q,s$) entropy, and polygamy inequalities related to the $β$-th ($0 \leq β\leq 1$) power of the unified-($q,s$) entanglement of assistance by using Hamming weight. We show that these monogamy and polygamy inequalities are tighter than the existing ones. Detailed examples are given for illustrating the advantages.

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arXiv2021

Stronger superadditivity relations for multiqubit systems

Superadditivity relations characterize the distributions of coherence in multipartite quantum systems. In this work, we investigate the superadditivity relations related to the $l_1$-norm of coherence $C_{l_1}$ in multiqubit quantum systems. Tighter superadditivity inequalities based on the $α$-th ($α\geqslant 1$) power of $l_1$-norm of coherence are presented for multiqubit states under certain conditions, which include the existing results as special cases. These superadditivity relations give rise to finer characterization of the coherence distributions among the subsystems of a multipartite system. A detailed example is presented.

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