MC 6496
Candidate
Arnaud Carignan-Dugas , Applied Mathematics, University of Waterloo
Title
A Complete Toolkit for Probing the Quantum World
Abstract
Physics
is
a
perpetual
attempt
to
acquire
a
stronger
grasp
on
the
universe,
which
in
one
hand
involves
the
understanding
of
its
behaviour,
and
in
the
other,
the
control
of
its
dynamics.
Nowadays,
a
lot
of
efforts
are
done
in
order
to
tame
the
quantum
world,
which
still
slips
(to
some
extent)
through
our
classical
fingers.
By
"taming",
we
really
mean
"gaining
a
certain
control"
on
the
quantum
scale,
sufficient
to
harness
potentially
greater
computational
power
and
to
increase
our
understanding
of
large
quantum
systems.
One
major
obstacle
to
achieve
such
level
of
control
is
to
deal
with
quantum
errors,
which
structure
could
be
exponentially
more
complex
to
describe
than
their
classical
counterparts.
In
this
proposal,
my
research
group
and
I
suggest
to
develop
a
complete
set
of
characterization
tools
based
on
randomized
benchmarking
techniques.
Indeed,
randomized
benchmarking
by
itself
is
a
useful
tool,
but
should
be
seen
as
an
element
of
a
much
larger
set
of
potential
probing
schemes.
Hence,
we
suggest
various
extensions
of
the
original
protocol
in
order
to
characterize
new
operations,
possibly
in
broader
physical
regimes
like
non-Markovian
dynamics.
We
also
investigate
noise's
discrete
dynamics
in
order
to
restrict
the
system's
set
of
possible
configurations
after
an
incompletely
parametrized
discrete
evolution.
Finally,
we
propose
to
examine
new
characterization
quantities
in
order
to
capture
new
noise
features,
like
addressability
and
Markovianity.