On Locality of Schmidt-Correlated States

We review some results on the equivalence of quantum states under local unitary transformations (LUT). In particular, the classification of two-qubit Schmidt correlated (SC) states under LUT is investigated. By presenting the standard form of quantum states under LUT, the sufficient and necessary conditions of whether two different SC states are local unitary equivalent are provided. The correlations of SC states are also discussed.Comment: 14 page

The fiscal framework and urban infrastructure finance in China

China has experienced more than 25 years of extraordinary economic growth. Underlying this growth has been a decentralized fiscal system, in which provinces and large cities are given the freedom to make infrastructure investmentsto stimulate local development, and are allowed to retain a large part of the fiscal revenues that are generated from economic activity. Although successful as a growth strategy, this policy created two problems for national fiscal management. First, it significantly reduced the central government's share of fiscal revenues, which fell from 34.8 percent in 1980 to 22 percent in 1992. Second, it widened economic and fiscal disparities between the rapidly growing urban coastal region and the rest of the country. Rapid growth in subnational debt (which rose 23-fold in a decade) and subnational nonperforming loans (estimated by the authors to range between US$100 billion and US$150 billion) has placed pressure on China's financial system. Traditionally, China has favored bank lending as a source of finance because the banking system has provided a vehicle for central political control over local debt. But as China's financial system matures, creditworthiness standards must become more important. The authors recommend greater use of the revenue streams from infrastructure assets as a financing source, and gradual relaxation of central political control over subnational debt. One step in this direction would permit leading cities to issue municipal bonds based on objective financial standards.Banks&Banking Reform,Urban Economics,Public&Municipal Finance,Municipal Financial Management,Intergovernmental Fiscal Relations and Local Finance Management

The Potential Roles of Long Noncoding RNAs (lncRNA) in Glioblastoma Development

Long noncoding RNA (lncRNA) may contribute to the initiation and progression of tumor. In this study, we first systematically compared lncRNA and mRNA expression between glioblastoma and paired normal brain tissues using microarray data. We found 27 lncRNA and 82 mRNA significantly upregulated in glioblastoma, as well as 198 lncRNA and 285 mRNA significantly downregulated in glioblastoma. We identified 138 coexpressed lncRNA–mRNA pairs from these differentially expressed lncRNA and genes. Subsequent pathway analysis of the lncRNA-paired genes indicated that EphrinB–EPHB, p75-mediated signaling, TNFα/NF-κB, and ErbB2/ErbB3 signaling pathways might be altered in glioblastoma. Specifically, lncRNA RAMP2-AS1 had significant decrease of expression in glioblastoma tissues and showed coexpressional relationship with NOTCH3, an important tumor promoter in many neoplastic diseases. Our follow up experiment indicated that (i) an overexpression of RAMP2-AS1 reduced glioblastoma cell proliferation in vitro and also reduced glioblastoma xenograft tumors in vivo; (ii) NOTCH3 and RAMP2-AS1 coexpression rescued the inhibitory action of RAMP2-AS1 in glioblastoma cells; and (iii) RNA pull-down assay revealed a direct interaction of RAMP2-AS1 with DHC10, which may consequently inhibit, as we hypothesize, the expression of NOTCH3 and its downstream signaling molecule HES1 in glioblastoma. Taken together, our data revealed that lncRNA expression profile in glioblastoma tissue was significantly altered; and RAMP2-AS1 might play a tumor suppressive role in glioblastoma through an indirect inhibition of NOTCH3. Our results provided some insights into understanding the key roles of lncRNA–mRNA coregulation in human glioblastoma and the mechanisms responsible for glioblastoma progression and pathogenesis. Mol Cancer Ther; 15(12); 2977–86. ©2016 AACR