Last Updated:2022/12/24
Combined with a simple tensorization argument proposed by Courtade and Ozgur in 2015, our result also implies that the current capacity approximations for Gaussian relay networks, which have linear gap to the cut-set bound in the number of nodes, are order-optimal and leads to a lower bound on the pre-constant..
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Combined
with
a
simple
tensorization
argument
proposed
by
Courtade
and
Ozgur
in
2015,
our
result
also
implies
that
the
current
capacity
approximations
for
Gaussian
relay
networks,
which
have
linear
gap
to
the
cut-set
bound
in
the
number
of
nodes,
are
order-optimal
and
leads
to
a
lower
bound
on
the
pre-constant..