Presented by:
Zahra Baghali Khanian
Date:
Monday 23rd July 2018 - 16:45 to 17:30
Venue:
INI Seminar Room 1
Abstract:
We
resume the investigation of the problem of
independent
local compression of correlated quantum sources,
the
classical case of which is covered by the celebrated
Slepian-Wolf
theorem.
We focus specifically on quantum-classical (qc)
sources,
for which one point of the rate region was
previously
determined by Devetak and Winter. Whereas the
Devetak-
Winter point attains a rate-sum equal to the von
Neumann
entropy of the joint source, here we show that the
full rate
region is much more complex due to the quantum
nature of
one of the sources. In particular, we determine the
full
rate region in the generic case, showing that all
other
points in the achievable region have a rate sum
strictly
larger than the joint entropy. We can interpret the
difference
as the price paid for the quantum encoder being
ignorant
of the classical side information. In the general
case, we
give an achievable rate region, via protocols that
are built
on the decoupling principle, state merging and
state
redistribution. It is matched almost by a
single-letter,
but still asymptotic, converse.
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