Assisted optimal state discrimination without entanglement

A fundamental problem in quantum information is to explore the roles of different quantum correlations in a quantum information procedure. Recent work [Phys. Rev. Lett., 107 (2011) 080401] shows that the protocol for assisted optimal state discrimination (AOSD) may be implemented successfully without entanglement, but with another correlation, quantum dissonance. However, both the original work and the extension to discrimination of $d$ states [Phys. Rev. A, 85 (2012) 022328] have only proved that entanglement can be absent in the case with equal a \emph{priori} probabilities. By improving the protocol in [Sci. Rep., 3 (2013) 2134], we investigate this topic in a simple case to discriminate three nonorthogonal states of a qutrit, with positive real overlaps. In our procedure, the entanglement between the qutrit and an auxiliary qubit is found to be completely unnecessary. This result shows that the quantum dissonance may play as a key role in optimal state discrimination assisted by a qubit for more general cases.Comment: 6 pages, 3 figures. Accepted by EPL. We extended the protocol for assisted optimal state discrimination to the case with positive real overlaps, and presented a proof for the absence of entanglemen

Draft Genome of the Leopard Gecko, \u3cem\u3eEublepharis Macularius\u3c/em\u3e

Background Geckos are among the most species-rich reptile groups and the sister clade to all other lizards and snakes. Geckos possess a suite of distinctive characteristics, including adhesive digits, nocturnal activity, hard, calcareous eggshells, and a lack of eyelids. However, one gecko clade, the Eublepharidae, appears to be the exception to most of these ‘rules’ and lacks adhesive toe pads, has eyelids, and lays eggs with soft, leathery eggshells. These differences make eublepharids an important component of any investigation into the underlying genomic innovations contributing to the distinctive phenotypes in ‘typical’ geckos. Findings We report high-depth genome sequencing, assembly, and annotation for a male leopard gecko, Eublepharis macularius (Eublepharidae). Illumina sequence data were generated from seven insert libraries (ranging from 170 to 20 kb), representing a raw sequencing depth of 136X from 303 Gb of data, reduced to 84X and 187 Gb after filtering. The assembled genome of 2.02 Gb was close to the 2.23 Gb estimated by k-mer analysis. Scaffold and contig N50 sizes of 664 and 20 kb, respectively, were compble to the previously published Gekko japonicus genome. Repetitive elements accounted for 42 % of the genome. Gene annotation yielded 24,755 protein-coding genes, of which 93 % were functionally annotated. CEGMA and BUSCO assessment showed that our assembly captured 91 % (225 of 248) of the core eukaryotic genes, and 76 % of vertebrate universal single-copy orthologs. Conclusions Assembly of the leopard gecko genome provides a valuable resource for future comptive genomic studies of geckos and other squamate reptiles

Eigenvalue problems for a class of singular quasilinear elliptic equations in weighted spaces

In this paper, by using the Galerkin method and the generalized Brouwer's theorem, some problems of the higher eigenvalues are studied for a class of singular quasiliner elliptic equations in the weighted Sobolev spaces. The existence of weak solutions is obtained for this problem

Extended Duration Dual Antiplatelet Therapy after Percutaneous Coronary Intervention in Patients with Peripheral Arterial Disease: A Meta-Analysis

Background: Patients with peripheral arterial disease (PAD) undergoing percutaneous coronary intervention (PCI) are at elevated risk of ischemic and bleeding events. However, the optimal duration of dual antiplatelet therapy (DAPT) after PCI in patients with PAD remains unclear. Methods: A systematic literature search was performed through June 2017 using PubMed, EMBASE and Cochrane databases with the following key terms: “dual antiplatelet therapy”, “P2Y12 inhibitor”, “myocardial infarction”, “percutaneous coronary intervention”, “stent”, “peripheral arterial disease”, and “ankle-brachial index”. The analysis was restricted to randomized trials published in English in patients with PAD receiving extended DAPT (\u3e 12-month) after PCI. Overall analysis was performed using Review Manager 5.3 with the Mantel-Haenszel method. Results: Two randomized controlled trials involving 895 patients were included in this review. Compared to the placebo group, there was no statistical significance in the occurrence of major adverse cardiovascular and cerebrovascular events (MACCE) in patients receiving extended DAPT (odds ratio (OR) 0.76, 95% confidence interval (CI) 0.37 - 1.57; P = 0.46). The results were associated with substantial heterogeneity (I2 = 71%, P = 0.07). Extended DAPT was not significantly associated with increased moderate/severe bleeding events (OR 1.63, 95% CI 0.84 - 3.18; P = 0.15; I2 = 0%, P = 0.59). The extended DAPT was associated with 82% relative risk reduction in the events of definite/probably stent thrombosis. Conclusions: Among patients with PAD, extended DAPT after PCI resulted in a non-significant difference in ischemic and bleeding events compared to placebo, respectively. The routine use of extended DAPT in this cohort should be carefully evaluated