We establish the Ahlswede dichotomy for arbitrarily varying classicalquantum wiretap channels, i.e., either the deterministic secrecy capacity of the channel is zero, or it equals its randomness-assisted secrecy capacity. We analyze the secrecy capacity of these channels when the sender and the receiver use various resources. It turns out that randomness, common randomness, and correlation as r...

It is shown that the quadrature derivatives in some analytical gradients of energies evaluated with a multi-centre radial-angular grid do not vanish even limit an infinitely dense grid, causing severe errors when neglected. The question are those respect to lattice constant crystal or helical angle chain screw-axis symmetry. This contrast atomic gradients, which can be made arbitrarily small by...

The conventional Fourier-transform-based spin-echo sequence with a view angle tilting gradient during data acquisition can correct the in-plane distortion induced by a chemical shift or B0 field inhomogeneity. However, when extended for 3D applications, alternate k-space sampling can be beneficial for reducing the lengthy scan time. As spiral trajectories have high k-space acquisition efficienc...

Successful biological development via spatial and temporal regulations of cell differentiation relies on the action of multiple signaling molecules that are known as morphogens. It is now well established that biological signaling molecules create nonuniform concentration profiles, called morphogen gradients, that activate different genes, leading to patterning in the developing organisms. The ...