Physical Review X,
Journal Year:
2021,
Volume and Issue:
11(1)
Published: Feb. 1, 2021
Product
formulas
offer
a
powerful,
simple
approach
to
quantum
simulation.
A
new
theory
quantifying
their
errors
puts
these
algorithms
on
rigorous
foundation,
showcasing
superiority
over
other
methods.
Science,
Journal Year:
2021,
Volume and Issue:
372(6539)
Published: April 15, 2021
Quantum
computing
hardware
technologies
have
advanced
during
the
past
two
decades,
with
goal
of
building
systems
that
can
solve
problems
are
intractable
on
classical
computers.
The
ability
to
realize
large-scale
depends
major
advances
in
materials
science,
engineering,
and
new
fabrication
techniques.
We
identify
key
challenges
currently
limit
progress
five
quantum
platforms,
propose
how
tackle
these
problems,
discuss
some
areas
for
exploration.
Addressing
will
require
scientists
engineers
work
together
create
new,
interdisciplinary
approaches
beyond
current
boundaries
field.
Nature,
Journal Year:
2022,
Volume and Issue:
601(7893), P. 343 - 347
Published: Jan. 19, 2022
High-fidelity
control
of
quantum
bits
is
paramount
for
the
reliable
execution
algorithms
and
achieving
fault-tolerance,
ability
to
correct
errors
faster
than
they
occur.
The
central
requirement
fault-tolerance
expressed
in
terms
an
error
threshold.
Whereas
actual
threshold
depends
on
many
details,
a
common
target
~1%
well-known
surface
code.
Reaching
two-qubit
gate
fidelities
above
99%
has
been
long-standing
major
goal
semiconductor
spin
qubits.
These
qubits
are
well
positioned
scaling
as
can
leverage
advanced
technology.
Here
we
report
spin-based
processor
silicon
with
single-
all
99.5%,
extracted
from
set
tomography.
average
single-qubit
remain
when
including
crosstalk
idling
neighboring
qubit.
Utilizing
this
high-fidelity
set,
execute
demanding
task
calculating
molecular
ground
state
energies
using
variational
eigensolver
algorithm.
Now
that
barrier
fidelity
surpassed,
have
gained
credibility
leading
platform,
not
only
but
also
control.
Journal of Chemical Theory and Computation,
Journal Year:
2018,
Volume and Issue:
15(1), P. 311 - 324
Published: Nov. 28, 2018
We
introduce
a
unitary
coupled-cluster
(UCC)
ansatz
termed
k-UpCCGSD
that
is
based
on
family
of
sparse
generalized
doubles
operators,
which
provides
an
affordable
and
systematically
improvable
wave
function
suitable
for
implementation
near-term
quantum
computer.
employs
k
products
the
exponential
pair
double
excitation
operators
(pCCD),
together
with
single
operators.
compare
its
performance
in
both
efficiency
accuracy
UCC
employing
full
(UCCGSD),
as
well
standard
only
excitations
(UCCSD).
found
to
show
best
scaling
computing
applications,
requiring
circuit
depth
[Formula:
see
text],
compared
text]
UCCGSD,
UCCSD,
where
N
number
spin
orbitals
η
electrons.
analyzed
these
three
ansätze
by
making
classical
benchmark
calculations
ground
state
first
excited
H4
(STO-3G,
6-31G),
H2O
(STO-3G),
N2
additional
comparisons
conventional
coupled
cluster
methods.
The
results
states
offers
good
trade-off
between
cost,
achieving
chemical
lower
cost
computers
than
UCCGSD
UCCSD.
also
be
more
accurate
UCCSD
but
at
greater
implementation.
Excited
are
calculated
orthogonally
constrained
variational
eigensolver
approach.
This
seen
generally
yield
less
energies
corresponding
states.
demonstrate
using
specialized
multideterminantal
reference
constructed
from
linear
response
allows
energetics
improved.
Physical Review Letters,
Journal Year:
2020,
Volume and Issue:
125(1)
Published: June 29, 2020
Variational
quantum
algorithms
have
been
proposed
to
solve
static
and
dynamic
problems
of
closed
many-body
systems.
Here
we
investigate
variational
simulation
three
general
types
tasks---generalised
time
evolution
with
a
non-Hermitian
Hamiltonian,
linear
algebra
problems,
open
system
dynamics.
The
algorithm
for
generalised
provides
unified
framework
simulation.
In
particular,
show
its
application
in
solving
systems
equations
matrix-vector
multiplications
by
converting
these
algebraic
into
evolution.
Meanwhile,
assuming
tensor
product
structure
the
matrices,
also
propose
another
approach
two
tasks
combining
real
imaginary
Finally,
introduce
We
variationally
implement
stochastic
Schr\"odinger
equation,
which
consists
dissipative
jump
processes.
numerically
test
six-qubit
2D
transverse
field
Ising
model
under
dissipation.
Quantum
computers
can
in
principle
solve
certain
problems
exponentially
more
quickly
than
their
classical
counterparts.
We
have
not
yet
reached
the
advent
of
useful
quantum
computation,
but
when
we
do,
it
will
affect
nearly
all
scientific
disciplines.
In
this
review,
examine
how
current
algorithms
could
revolutionize
computational
biology
and
bioinformatics.
There
are
potential
benefits
across
entire
field,
from
ability
to
process
vast
amounts
information
run
machine
learning
far
efficiently,
for
simulation
that
poised
improve
calculations
drug
discovery,
optimization
may
advance
fields
protein
structure
prediction
network
analysis.
However,
these
exciting
prospects
susceptible
"hype",
is
also
important
recognize
caveats
challenges
new
technology.
Our
aim
introduce
promise
limitations
emerging
computing
technologies
areas
molecular
Quantum,
Journal Year:
2021,
Volume and Issue:
5, P. 592 - 592
Published: Nov. 26, 2021
Achieving
near-term
quantum
advantage
will
require
accurate
estimation
of
observables
despite
significant
hardware
noise.
For
this
purpose,
we
propose
a
novel,
scalable
error-mitigation
method
that
applies
to
gate-based
computers.
The
generates
training
data
$\{X_i^{\text{noisy}},X_i^{\text{exact}}\}$
via
circuits
composed
largely
Clifford
gates,
which
can
be
efficiently
simulated
classically,
where
$X_i^{\text{noisy}}$
and
$X_i^{\text{exact}}$
are
noisy
noiseless
respectively.
Fitting
linear
ansatz
then
allows
for
the
prediction
noise-free
arbitrary
circuits.
We
analyze
performance
our
versus
number
qubits,
circuit
depth,
non-Clifford
gates.
obtain
an
order-of-magnitude
error
reduction
ground-state
energy
problem
on
16
qubits
in
IBMQ
computer
64-qubit
simulator.
PRX Quantum,
Journal Year:
2023,
Volume and Issue:
4(2)
Published: May 3, 2023
It
is
for
the
first
time
that
quantum
simulation
high-energy
physics
(HEP)
studied
in
U.S.
decadal
particle-physics
community
planning,
and
fact
until
recently,
this
was
not
considered
a
mainstream
topic
community.
This
speaks
of
remarkable
rate
growth
subfield
over
past
few
years,
stimulated
by
impressive
advancements
information
sciences
(QIS)
associated
technologies
decade,
significant
investment
area
government
private
sectors
other
countries.
High-energy
physicists
have
quickly
identified
problems
importance
to
our
understanding
nature
at
most
fundamental
level,
from
tiniest
distances
cosmological
extents,
are
intractable
with
classical
computers
but
may
benefit
advantage.
They
initiated,
continue
carry
out,
vigorous
program
theory,
algorithm,
hardware
co-design
simulations
relevance
HEP
mission.
Roadmap
an
attempt
bring
exciting
yet
challenging
research
spotlight,
elaborate
on
what
promises,
requirements,
challenges,
potential
solutions
next
decade
beyond.Received
26
July
2022Revised
18
January
2023Accepted
6
March
2023DOI:https://doi.org/10.1103/PRXQuantum.4.027001Published
American
Physical
Society
under
terms
Creative
Commons
Attribution
4.0
International
license.
Further
distribution
work
must
maintain
attribution
author(s)
published
article's
title,
journal
citation,
DOI.Published
SocietyPhysics
Subject
Headings
(PhySH)Research
AreasQuantum
simulationParticles
&
FieldsQuantum
Information,
Science
Technology
PRX Quantum,
Journal Year:
2021,
Volume and Issue:
2(4)
Published: Nov. 10, 2021
If
NISQ-era
quantum
computers
are
to
perform
useful
tasks,
they
will
need
employ
powerful
error
mitigation
techniques.
Quasi-probability
methods
can
permit
perfect
compensation
at
the
cost
of
additional
circuit
executions,
provided
that
nature
model
is
fully
understood
and
sufficiently
local
both
spatially
temporally.
Unfortunately
these
conditions
challenging
satisfy.
Here
we
present
a
method
by
which
proper
strategy
instead
be
learned
ab
initio.
Our
training
process
uses
multiple
variants
primary
where
all
non-Clifford
gates
substituted
with
efficient
simulate
classically.
The
yields
configuration
near-optimal
versus
noise
in
real
system
its
gate
set.
Having
presented
range
learning
strategies,
demonstrate
power
technique
hardware
(IBM
devices)
exactly-emulated
imperfect
computers.
systems
suffer
severities
types,
including
temporally
correlated
variants.
In
cases
protocol
successfully
adapts
mitigates
it
high
degree.