Teleporting a quantum state in a subset of the whole Hilbert space

We investigate the lower bound of the amount of entanglement for faithfully teleporting a quantum state belonging to a subset of the whole Hilbert space. Moreover, when the quantum state belongs to a set composed of two states, a probabilistic teleportation scheme is presented using a non-maximally entangled state as the quantum channel. We also calculate the average transmission efficiency of this scheme.Comment: 4 pages, no figur

Study on the Sustainable use of Regional Groundwater Resources

Water resources have become a major factor limiting the sustainable development of China’s economy and society, and at the same time China’s water resources are developed and utilized in a relatively sloppy manner, China is facing multiple pressures of population, resources and environment, and the problems of water shortage, water environment deterioration and flood disaster prevention are becoming increasingly prominent. The rapid development of economic and social demand for water resources is increasing, and the people’s desire to improve the ecology and environment is becoming more and more urgent. How to fully consider the sustainable use of water resources, effectively solve the contradiction between water demand and supply, development and protection, improve the level of planning and scientific decision-making, promote economic development and water carrying capacity to adapt to accelerate the transformation of economic growth and structural adjustment is of great importance

Diagnostic Value of the Combination of Golgi Protein 73 and Alpha-Fetoprotein in Hepatocellular Carcinoma: A Meta-Analysis

<div><p>Conflicting results have been widely reported on the use of Golgi protein 73 (GP73) as a serum biomarker for diagnosing hepatocellular carcinoma (HCC). This study evaluated the accuracy of GP73, alpha-fetoprotein (AFP), and GP73 + AFP for diagnosing HCC. The meta-analysis was performed on 11 studies that were selected by means of a comprehensive systematic literature review. Summary diagnostic accuracy, meta-regression analysis for heterogeneity and publication bias, and other statistical analyses were performed using Meta-Disc (version 1.4) and Stata (version 12.0). Pooled sensitivity, specificity, and diagnostic odds ratio were 0.77 (95% CI: 0.75–0.79), 0.91 (95% CI: 0.90–0.92), and 12.49 (95% CI: 4.91–31.79) for GP73; 0.62 (95% CI: 0.60–0.64), 0.84 (95% CI: 0.83–0.85), and 11.61 (95% CI: 8.02–16.81) for AFP; and 0.87 (95% CI: 0.85–0.89), 0.85 (95% CI: 0.84–0.86), and 30.63 (95% CI: 18.10–51.84) for GP73 + AFP. The area under the curve values were 0.86, 0.84, and 0.91 for GP73, AFP, and GP73 + AFP, respectively. These results indicate that for HCC diagnosis, the accuracy of GP73 was higher than that of AFP, and that GP73 + AFP exhibited significantly higher diagnostic accuracy than did GP73 or AFP alone.</p></div

Meta-regression analysis of the effects of GP73 and AFP on diagnostic accuracy.

<p>RDOR: ratio of diagnostic odds ratio.</p><p>Meta-regression analysis of the effects of GP73 and AFP on diagnostic accuracy.</p

Summary of the diagnostic accuracy of GP73, AFP, and GP73 + AFP.

<p>95% confidence intervals are shown in brackets.</p><p>Summary of the diagnostic accuracy of GP73, AFP, and GP73 + AFP.</p

SROC curve of GP73 for diagnosing HCC.

<p>SROC curve of GP73 for diagnosing HCC.</p

SROC curve of GP73 + AFP for diagnosing HCC.

<p>SROC curve of GP73 + AFP for diagnosing HCC.</p

Forest plots of the sensitivity and specificity of GP73 for diagnosing HCC.

<p>Forest plots of the sensitivity and specificity of GP73 for diagnosing HCC.</p

Deeks’ funnel plots of GP73, AFP, and GP73 + AFP for the studies included in the meta-analysis.

<p>A, GP73; B, AFP; and C, GP73 + AFP.</p

Main characteristics of the included studies.

<p>TP: true positive; FP: false positive; FN: false negative; TN: true negative; -: no data for this category; RU: relative unit; NK: not known; ref.: reference number; HCC: hepatocellular carcinoma.</p><p>Main characteristics of the included studies.</p