Tighter weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems

We investigate polygamy relations of multipartite entanglement in arbitrary-dimensional quantum systems. By improving an inequality and using the $\beta$th ($0\leq\beta\leq1$) power of entanglement of assistance, we provide a new class of weighted polygamy inequalities of multipartite entanglement in arbitrary-dimensional quantum systems. We show that these new polygamy relations are tighter than the ones given in [Phys. Rev. A 97, 042332 (2018)]

Ordering states with various coherence measures

Quantum coherence is one of the most significant theories in quantum physics. Ordering states with various coherence measures is an intriguing task in quantification theory of coherence. In this paper, we study this problem by use of four important coherence measures -- the $l_1$ norm of coherence, the relative entropy of coherence, the geometric measure of coherence and the modified trace distance measure of coherence. We show that each pair of these measures give a different ordering of qudit states when $d\geq 3$. However, for single-qubit states, the $l_1$ norm of coherence and the geometric coherence provide the same ordering. We also show that the relative entropy of coherence and the geometric coherence give a different ordering for single-qubit states. Then we partially answer the open question proposed in [Quantum Inf. Process. 15, 4189 (2016)] whether all the coherence measures give a different ordering of states.Comment: 12 page

Amending coherence-breaking channels via unitary operations

The coherence-breaking channels play a significant role in quantum information theory. We study the coherence-breaking channels and give a method to amend the coherence-breaking channels by applying unitary operations. For given incoherent channel $\Phi$, we give necessary and sufficient conditions for the channel to be a coherence-breaking channel and amend it via unitary operations. For qubit incoherent channels $\Phi$ that are not coherence-breaking ones, we consider the mapping $\Phi\circ\Phi$ and present the conditions for coherence-breaking and channel amendment as well.Comment: 8 page

Two-copy Quantum Teleportation

We investigate two-copy scenario of quantum teleportation based on Bell measurements. The detailed protocol is presented and the general expression of the corresponding optimal teleportation delity is derived, which is given by the two-copy fully entangled fraction that is invariant under local unitary transformations. We prove that under a speci c case of the protocol, which is signi cant for improving the optimal delity, the set of states with their two-copy fully entangled fractions bounded by a threshold value that required for useful two-copy teleportation is convex and compact. Hence the witness operators exist to separate states that are useful for two-copy teleportation from the rest ones. Moreover, we show that the optimal delity of two-copy teleportation surpasses that of the original one copy teleportation.Comment: 8 pages, 2 figure

Fractal Dynamical Model of Vehicular Traffic Flow within the Local Fractional Conservation Laws

We suggest a new model of the scale conservation equation in the mathematical theory of vehicular traffic flow on the fractal network based on the local fractional calculus

Screening hub genes in coronary artery disease based on integrated analysis

Background: Coronary artery disease (CAD) is the leading cause of mortality worldwide. Identifying key pathogenic genes benefits the understanding molecular mechanism of CAD. Methods: In this study, 5 microarray data sets from the blood sample of 312 CADs and 277 healthy controls were downloaded. Limma and metaMA packages were used to identify differentially expressed genes. The functional enrichment analysis of differentially expressed genes was further performed by Gene Ontology and Kyoto Encyclopedia of Genes and Genomes. Additionally, protein–protein interac­tion and transcript factors-target networks were performed based on top 10 up- and down-regulated differentially expressed genes to further study the biological function. Last, real-time quantitative poly­merase chain reaction (RT-qPCR) was used to validate the integrated analysis result. Results: A total of 528 differentially expressed genes were obtained. All differentially expressed genes were significantly involved in signal transduction and the MAPK signaling pathway. Among MAPK signaling pathway, IL1R2, ARRB2 and PRKX were associated with CAD. Furthermore, there were 4 common differentially expressed genes including PLAUR, HSPH1, ZMYND11 and S100A8 in the protein–protein interaction and transcript factors-target networks, which played crucial roles in the development of CAD. In quantitative RT-qPCR, the expression of PRKX, HSPH1 and ZMYND11 was down-regulated and consistent with the integrated analysis. Conclusions: Identified 7 differentially expressed genes (IL1R2, ARRB2, PRKX, PLAUR, HSPH1, ZMYND11 and S100A8) may play crucial roles in the development of CAD