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Quantum wiretap channel with non-uniform random number and its exponent and equivocation rate of leaked information
A usual code for quantum wiretap channel requires an auxiliary random
variable subject to the perfect uniform distribution. However, it is difficult
to prepare such an auxiliary random variable. We propose a code that requires
only an auxiliary random variable subject to a non-uniform distribution instead
of the perfect uniform distribution. Further, we evaluate the exponential
decreasing rate of leaked information and derive its equivocation rate. For
practical constructions, we also discuss the security when our code consists of
a linear error correcting code
Impact of a non-uniform charge distribution on virus assembly
Many spherical viruses encapsulate their genome in protein shells with
icosahedral symmetry. This process is spontaneous and driven by electrostatic
interactions between positive domains on the virus coat proteins and the
negative genome. We model the effect of the icosahedral charge distribution
from the protein shell instead of uniform using a mean-field theory. We find
that the non-uniform charge distribution strongly affects the optimal genome
length, and that it can explain the experimentally observed phenomenon of
overcharging of virus and virus-like particles
Distribution of Non-uniform Demagnetization Fields in Paramagnetic Bulk Solids
A general calculation for the distribution of non-uniform demagnetization
fields in paramagnetic bulk solids is described and the fields for various
sample geometries are calculated. Cones, ellipsoids, paraboloids and
hyperboloids with similar sample aspect ratios are considered. Significant
differences in their demagnetization fields are observed. The calculation shows
that the demagnetization field magnitudes decrease along the axis of symmetry
(along ) where an externally applied magnetic field is aligned, and increase
in the vicinity of the lateral surfaces with the largest field values found in
the cone and the narrowest field distributions found in the hyperboloid.
Application is made to the theoretical modeling of the H-NMR spectra of a
single crystal of field-induced superconductor -(BETS)FeCl
with a rectangular sample geometry, providing a good fit to the measured NMR
spectra. This calculation is also applicable to diamagnetic or ferromagnetic
materials in general.Comment: 7 pages, 7 figures, submitted to Physical Review B (Corresponding
author: [email protected]
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