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

Discovery and Testimony of Unretained Experts: Creating a Clear and Equitable Standard to Govern Compliance With Subpoenas

Hearing impairment is known to be one of the most frequent sensory impairments. This condition is known to be a hidden disorder which is under recognised and under treated all around the world. The World Health Organisation (WHO) estimates suggest that there are over 275 million people with hearing impairment and 80% of them living in low and middle income countries. Moreover, the estimates suggest that incidence and prevalence of hearing loss and also the number of people with hearing loss accessing services varies considerably across countries. This rises the need for health promotion (or public awareness campaigns) directed to increase awareness and education of hearing loss and hearing healthcare. This paper provides brief discussion on ‘Stories and storytelling’, ‘Cross-culture and cross-cultural communication’ and ‘Health promotion and cultural sensitivity’. The central focus of this paper is to highlight the applications of storytelling in different cultural context in health promotion, particularly to hearing loss public awareness campaigns

Orbital Angular Momentum and Generalized Transverse Momentum Distribution

We show that, when boosted to the infinite momentum frame, the quark and gluon orbital angular momentum operators defined in the nucleon spin sum rule of X. S. Chen et al. are the same as those derived from generalized transverse momentum distributions. This completes the connection between the infinite momentum limit of each term in that sum rule and experimentally measurable observables. We also show that these orbital angular momentum operators can be defined locally, and discuss the strategies of calculating them in lattice QCD.Comment: 8 page

The extension and convergence of mean curvature flow in higher codimension

In this paper, we first investigate the integral curvature condition to extend the mean curvature flow of submanifolds in a Riemannian manifold with codimension $d\geq1$, which generalizes the extension theorem for the mean curvature flow of hypersurfaces due to Le-\v{S}e\v{s}um \cite{LS} and the authors \cite{XYZ1,XYZ2}. Using the extension theorem, we prove two convergence theorems for the mean curvature flow of closed submanifolds in ${R}^{n+d}$ under suitable integral curvature conditions.Comment: 29 page