Title: The quantum and private capacities of quantum channels, and the solution in the low-noise regime
| Speaker: | Debbie Leung |
| Affiliation: | University of Waterloo |
| Room: | MC 5501 |
Abstract:
We
first
summarize
background
on
the
quantum
capacity
of
a
quantum
channel,
and
explain
why
we
know
very
little
about
this
fundamental
quantity,
even
for
the
qubit
depolarizing
channel
(the
quantum
analogue
of
the
binary
symmetric
channel)
despite
20
years
of
effort
by
the
community.
Then,
we
focus
on
low-noise
quantum
channels,
and
discuss
recent
results
on
the
quantum
capacity
to
leading
orders
in
the
noise
parameter.
This
in
particular
solves
the
quantum
capacity
problem
(to
leading
orders)
for
the
qubit
depolarizing
channel,
and
provides
a
structure
theorem
for
the
capacity
achieving
codes.
Analogous
results
on
the
private
capacity
will
be
presented.
Joint
work
with
Felix
Leditzky
and
Graeme
Smith.