Oxford University Press eBooks,
Journal Year:
2023,
Volume and Issue:
unknown, P. 704 - 725
Published: Sept. 7, 2023
Abstract
In
this
chapter
we
visit
the
‘church
of
larger
Hilbert
space’:
take
a
closer
look
at
relationship
pure
and
mixed
quantum
states
via
purification,
discuss
similar
connection
between
completely
positive
trace-preserving
(CPTP)
maps
unitary
dynamics
on
space.
We
show
that
such
CPTP
maps,
which
represent
channels,
are
equivalent
to
operations
admitting
Kraus
decomposition,
as
well
space
with
factoring
initial
condition,
famous
Stinespring
dilation
operations.
context
introduce
Choi-Jamiołkowski
isomorphism,
expresses
duality
two
spaces
tensor
products
these
spaces,
review
several
important
examples
channels
dephasing
channel,
amplitude-damping
depolarizing
channel.
Finally,
examine
not
possible
in
theory,
focusing
no-cloning
theorem.
Physical Review Letters,
Journal Year:
2020,
Volume and Issue:
125(23)
Published: Dec. 2, 2020
Quantum
teleportation
provides
a
way
to
transmit
unknown
quantum
states
from
one
location
another.
In
the
world,
multilevel
systems
which
enable
high-dimensional
are
more
prevalent.
Therefore,
completely
rebuild
of
single
particle
remotely,
needs
teleport
(high-dimensional)
states.
Here,
we
demonstrate
in
three-dimensional
six-photon
system.
We
exploit
spatial
mode
photon
as
system,
use
two
auxiliary
entangled
photons
realize
deterministic
Bell
state
measurement.
The
fidelity
process
matrix
is
F=0.596\pm0.037.
Through
this
matrix,
can
prove
that
our
both
nonclassical
and
genuine
three
dimensional.
Our
work
paves
complex
remotely
construct
networks.
Physical Review Letters,
Journal Year:
2020,
Volume and Issue:
125(9)
Published: Aug. 28, 2020
High-dimensional
entanglement
promises
to
greatly
enhance
the
performance
of
quantum
communication
and
enable
advantages
unreachable
by
qubit
entanglement.
One
great
challenges,
however,
is
reliable
production,
distribution,
local
certification
high-dimensional
sources
In
this
Letter,
we
present
an
optical
setup
capable
producing
states
with
exceptionally
high
level
scalability,
control,
quality
that,
together
novel
techniques,
achieve
highest
amount
recorded
so
far.
We
showcase
in
32-spatial
dimensions
record
fidelity
maximally
entangled
state
(F=0.933±0.001)
introduce
measurement
efficient
schemes
certify
formation
(E_{oF}=3.728±0.006).
Combined
existing
multicore
fiber
technology,
our
results
will
lay
a
solid
foundation
for
construction
networks.
Physical Review Letters,
Journal Year:
2021,
Volume and Issue:
126(20)
Published: May 20, 2021
High-dimensional
quantum
entanglement
can
give
rise
to
stronger
forms
of
nonlocal
correlations
compared
qubit
systems,
offering
significant
advantages
for
information
processing.
Certifying
these
correlations,
however,
remains
an
important
challenge,
in
particular
experimental
setting.
Here
we
theoretically
formalise
and
experimentally
demonstrate
a
notion
genuine
high-dimensional
steering.
We
show
that
entanglement,
as
quantified
by
the
Schmidt
number,
lead
form
steering,
provably
impossible
obtain
via
lower
dimensions.
Exploiting
connection
between
steering
incompatibility
measurements,
derive
simple
two-setting
inequalities,
violation
which
guarantees
presence
hence
certifies
bound
on
number
one-sided
device-independent
report
inequalities
using
macro-pixel
photon-pair
certifying
In
particular,
entangled
state
dimension
$d=31$,
our
data
minimum
$n=15$.
Physical Review Applied,
Journal Year:
2021,
Volume and Issue:
15(3)
Published: March 1, 2021
High-dimensional
entanglement
promises
to
increase
the
information
capacity
of
photons
and
is
now
routinely
generated,
exploiting
spatiotemporal
degrees
freedom
single
photons.
A
curious
feature
these
systems
possibility
certifying
despite
strong
noise
in
data.
We
show
that
it
also
possible
exploit
this
noisy
high-dimensional
for
quantum
key
distribution
by
introducing
a
protocol
uses
multiple
subspaces
system
simultaneously.
Our
can
be
used
establish
secret
even
extremely
experimental
conditions,
where
qubit
protocols
fail.
To
that,
we
analyze
performance
our
models
apply
two
most
commonly
sources
entanglement:
time
bins
spatial
modes.
Physical Review Letters,
Journal Year:
2021,
Volume and Issue:
127(1)
Published: June 29, 2021
Entanglement
measures
quantify
nonclassical
correlations
present
in
a
quantum
system,
but
can
be
extremely
difficult
to
calculate,
even
more
so,
when
information
on
its
state
is
limited.
Here,
we
consider
broad
families
of
entanglement
criteria
that
are
based
variances
arbitrary
operators
and
analytically
derive
the
lower
bounds
these
provide
for
two
relevant
measures:
best
separable
approximation
generalized
robustness.
This
yields
practical
method
quantifying
realistic
experimental
situations,
particular,
only
few
measurements
simple
observables
available.
As
concrete
application
this
method,
bipartite
multipartite
spin-squeezed
Bose-Einstein
condensates
∼500
atoms,
by
bounding
robustness
from
first
second
moments
collective
spin
operator.
Nature Communications,
Journal Year:
2021,
Volume and Issue:
12(1)
Published: Aug. 27, 2021
Abstract
High-dimensional
entangled
states
are
promising
candidates
for
increasing
the
security
and
encoding
capacity
of
quantum
systems.
While
it
is
possible
to
witness
set
bounds
entanglement,
precisely
quantifying
dimensionality
purity
in
a
fast
accurate
manner
remains
an
open
challenge.
Here,
we
report
approach
that
simultaneously
returns
high-dimensional
by
simple
projective
measurements.
We
show
outcome
conditional
measurement
visibility
scales
monotonically
with
state
purity,
allowing
quantitative
measurements
general
photonic
illustrate
our
method
using
two
separate
bases,
orbital
angular
momentum
pixels
quantify
variety
definitions
over
wide
range
noise
levels,
highlighting
its
usefulness
practical
situations.
Importantly,
number
needed
scale
linearly
dimensions,
reducing
data
acquisition
time
significantly.
Our
technique
provides
simple,
direct
approach.
Quantum,
Journal Year:
2023,
Volume and Issue:
7, P. 1019 - 1019
Published: May 24, 2023
Computing
the
key
rate
in
quantum
distribution
(QKD)
protocols
is
a
long
standing
challenge.
Analytical
methods
are
limited
to
handful
of
with
highly
symmetric
measurement
bases.
Numerical
can
handle
arbitrary
bases,
but
either
use
min-entropy,
which
gives
loose
lower
bound
von
Neumann
entropy,
or
rely
on
cumbersome
dedicated
algorithms.
Based
recently
discovered
semidefinite
programming
(SDP)
hierarchy
converging
conditional
used
for
computing
asymptotic
rates
device
independent
case,
we
introduce
an
SDP
that
converges
secret
case
characterised
devices.
The
resulting
algorithm
efficient,
easy
implement
and
use.
We
illustrate
its
performance
by
recovering
known
bounds
extending
high-dimensional
QKD
previously
intractable
cases.
also
it
reanalyse
experimental
data
demonstrate
how
higher
be
achieved
when
full
statistics
taken
into
account.
Physical Review Applied,
Journal Year:
2022,
Volume and Issue:
18(1)
Published: July 26, 2022
High-dimensional
entanglement
offers
a
variety
of
advantages
for
both
fundamental
and
applied
applications
in
quantum
information
science.
A
central
building
block
such
is
programmable
processor
entangled
states,
which
crucial
the
certification,
manipulation,
distribution
high-dimensional
entanglement.
The
leading
technology
processing
photons
integrated
multiport
interferometers.
However,
devices
are
incompatible
with
structured
light
their
scaling
challenging.
Here,
we
unlock
these
limitations
by
demonstrating
reconfigurable
high
dimensions
that
based
on
multiplane
conversion
(MPLC),
has
recently
been
developed
multiplexing
hundreds
spatial
modes
classical
communication.
We
use
our
MPLC
platform
to
certify
three-dimensional
two
mutually
unbiased
bases,
perform
400
arbitrary
random
transformations
photons,
convert
mode
basis
distribution.
Journal of Optics,
Journal Year:
2021,
Volume and Issue:
23(10), P. 104001 - 104001
Published: Aug. 25, 2021
It
is
well
known
that
photons
can
carry
a
spatial
structure
akin
to
"twisted"
or
"rippled"
wavefront.
Such
structured
light
fields
have
sparked
significant
interest
in
both
classical
and
quantum
physics,
with
applications
ranging
from
dense
communications
light-matter
interaction.
Harnessing
the
full
advantage
of
transverse
photonic
encoding
using
Laguerre-Gaussian
(LG)
basis
domain
requires
control
over
azimuthal
(twisted)
radial
(rippled)
components
photons.
However,
precise
measurement
degree-of-freedom
has
proven
be
experimentally
challenging
primarily
due
its
amplitude
structure.
Here
we
demonstrate
generation
certification
full-field
entanglement
between
pairs
generated
by
spontaneous
parametric
down-conversion
telecom
regime.
By
precisely
tuning
optical
system
parameters
for
state
collection,
adopting
recently
developed
techniques
mode
measurement,
are
able
certify
fidelities
up
85%
dimensionalities
26
43-dimensional
LG
space.
Furthermore,
study
two-photon
correlations
9
groups,
demonstrating
correlation
related
group
order
inter-modal
cross-talk.
In
addition,
show
how
noise-robustness
high-dimensional
significantly
increased
measurements
multiple
mutually
unbiased
bases.
Our
work
demonstrates
potential
offered
field
enhancing
technologies
information
processing
communication.
Physical Review Applied,
Journal Year:
2022,
Volume and Issue:
17(3)
Published: March 3, 2022
The
faithful
distribution
of
entanglement
over
noisy
channels
is
a
vital
prerequisite
for
many
quantum
technological
applications.
Quantum
information
can
be
encoded
in
different
degrees
freedom
(DOF)
photons,
where
each
encoding
comes
with
its
own
advantages
and
disadvantages
respect
to
noise
resilience
practicality
manipulation.
In
this
work,
we
experimentally
implement
deterministic
purification
protocol
that
allows
us
faithfully
distribute
one
DOF
channel
then
remotely
transfer
it
another
particular,
robust
energy-time
polarization
at
the
communicating
parties.
obtained
state
independent
during
reaches
fidelities
Bell
up
$97.6\mathrm{%}$.
Our
scheme
enables
efficient
presence
arbitrary
noise,
which
relevant
future
large-scale
networks.