Understanding and mitigating noise in molecular quantum linear response for spectroscopic properties on quantum computers
Chemical Science,
Journal Year:
2025,
Volume and Issue:
16(10), P. 4456 - 4468
Published: Jan. 1, 2025
The
promise
of
quantum
computing
to
circumvent
the
exponential
scaling
chemistry
has
sparked
a
race
develop
algorithms
for
architecture.
However,
most
works
neglect
quantum-inherent
shot
noise,
let
alone
effect
current
noisy
devices.
Here,
we
present
comprehensive
study
linear
response
(qLR)
theory
obtaining
spectroscopic
properties
on
simulated
fault-tolerant
computers
and
present-day
near-term
hardware.
This
work
introduces
novel
metrics
analyze
predict
origins
noise
in
algorithm,
proposes
an
Ansatz-based
error
mitigation
technique,
reveals
significant
impact
Pauli
saving
reducing
measurement
costs
subspace
methods.
Our
hardware
results
using
up
cc-pVTZ
basis
set
serve
as
proof
principle
absorption
spectra
general
approach
with
accuracy
classical
multi-configurational
Importantly,
our
exemplify
that
substantial
improvements
rates
speed
are
necessary
lift
computational
from
concept
actual
field.
Language: Английский
Which Options Exist for NISQ-Friendly Linear Response Formulations?
Journal of Chemical Theory and Computation,
Journal Year:
2024,
Volume and Issue:
20(9), P. 3551 - 3565
Published: April 25, 2024
Linear
response
(LR)
theory
is
a
powerful
tool
in
classic
quantum
chemistry
crucial
to
understanding
photoinduced
processes
and
biology.
However,
performing
simulations
for
large
systems
the
case
of
strong
electron
correlation
remains
challenging.
Quantum
computers
are
poised
facilitate
simulation
such
systems,
recently,
linear
formulation
(qLR)
was
introduced
[Kumar
et
al.,
J.
Chem.
Theory
Comput.
2023,
19,
9136–9150].
To
apply
qLR
near-term
beyond
minimal
basis
set,
we
here
introduce
resource-efficient
theory,
using
truncated
active-space
version
multiconfigurational
self-consistent
field
LR
ansatz.
Therein,
investigate
eight
different
formalisms
that
utilize
novel
operator
transformations
allow
equations
be
performed
on
hardware.
Simulating
excited
state
potential
energy
curves
absorption
spectra
various
test
cases,
identify
two
promising
candidates,
dubbed
"proj
LRSD"
"all-proj
LRSD".
Language: Английский
Subspace Methods for the Simulation of Molecular Response Properties on a Quantum Computer
Journal of Chemical Theory and Computation,
Journal Year:
2024,
Volume and Issue:
20(9), P. 3729 - 3740
Published: May 1, 2024
We
explore
Davidson
methods
for
obtaining
excitation
energies
and
other
linear
response
properties
within
the
recently
developed
quantum
self-consistent
(q-sc-LR)
method.
Davidson-type
allow
only
a
few
selected
without
explicitly
constructing
electronic
Hessian
since
they
require
ability
to
perform
Hessian-vector
multiplications.
apply
method
calculate
of
hydrogen
chains
(up
H10)
analyze
aspects
statistical
noise
computing
on
simulators.
Additionally,
we
such
as
static
polarizabilities
H2,
LiH,
H2O,
OH–,
NH3,
show
that
unitary
coupled
cluster
outperforms
classical
projected
molecular
systems
with
strong
correlation.
Finally,
formulate
damped
(complex)
response,
application
nitrogen
K-edge
X-ray
absorption
ammonia,
C6
coefficients
NH3.
Language: Английский
Self-consistent Quantum Linear Response with a Polarizable Embedding Environment
The Journal of Physical Chemistry A,
Journal Year:
2025,
Volume and Issue:
unknown
Published: Jan. 23, 2025
Quantum
computing
presents
a
promising
avenue
for
solving
complex
problems,
particularly
in
quantum
chemistry,
where
it
could
accelerate
the
computation
of
molecular
properties
and
excited
states.
This
work
focuses
on
excitation
energies
with
hybrid
quantum-classical
algorithms
near-term
devices,
combining
linear
response
(qLR)
method
polarizable
embedding
(PE)
environment.
We
employ
self-consistent
operator
manifold
(q-sc-LR)
top
unitary
coupled
cluster
(UCC)
wave
function
combination
Davidson
solver.
The
latter
removes
need
to
construct
entire
electronic
Hessian,
improving
computational
efficiency
when
going
toward
larger
molecules.
introduce
new
superposition-state-based
technique
compute
Hessian-vector
products
show
that
this
approach
is
more
resilient
noise
than
our
earlier
gradient-based
approach.
demonstrate
performance
PE-UCCSD
model
systems
such
as
butadiene
para-nitroaniline
water
find
delivers
comparable
accuracy
classical
PE-CCSD
methods
simple
closed-shell
systems.
also
explore
challenges
posed
by
hardware
propose
error
mitigation
techniques
maintain
accurate
results
noisy
computers.
Language: Английский
Regulation in mechanical properties and structural morphology of M2B-type borides in Fe-B-C alloy
Fengshuo Jin,
No information about this author
Xie Tianjin,
No information about this author
Gao Guihong
No information about this author
et al.
Vacuum,
Journal Year:
2025,
Volume and Issue:
234, P. 114086 - 114086
Published: Feb. 2, 2025
Language: Английский
Equation-of-motion internally contracted multireference unitary coupled-cluster theory
The Journal of Chemical Physics,
Journal Year:
2025,
Volume and Issue:
162(15)
Published: April 16, 2025
The
accurate
computation
of
excited
states
remains
a
challenge
in
electronic
structure
theory,
especially
for
systems
with
ground
state
that
requires
multireference
treatment.
In
this
work,
we
introduce
novel
equation-of-motion
(EOM)
extension
the
internally
contracted
unitary
coupled-cluster
framework
(ic-MRUCC),
termed
EOM-ic-MRUCC.
EOM-ic-MRUCC
follows
transform-then-diagonalize
approach,
analogy
to
its
non-unitary
counterpart
[Datta
and
Nooijen,
J.
Chem.
Phys.
137,
204107
(2012)].
By
employing
projective
approach
optimize
state,
method
retains
additive
separability
proper
scaling
system
size.
We
show
excitation
energies
are
size-intensive
if
EOM
operator
satisfies
“killer”
conditions.
Furthermore,
propose
represent
changes
reference
upon
electron
via
projected
many-body
operators
span
active
orbitals
equations
formulated
way
invariant
respect
orbital
rotations.
test
truncated
single
double
excitations
by
computing
potential
energy
curves
several
BeH2
model
system,
HF
molecule,
water
undergoing
symmetric
dissociation.
Across
these
systems,
our
delivers
within
5
mEh
(∼0.14
eV)
from
full
configuration
interaction.
find
truncating
Baker–Campbell–Hausdorff
series
fourfold
commutators
contributes
negligible
errors
(on
order
10−5Eh
or
less),
offering
practical
route
highly
excited-state
calculations
reduced
computational
overhead.
Language: Английский
Reduced Density Matrix Formulation of Quantum Linear Response
Journal of Chemical Theory and Computation,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Aug. 6, 2024
The
prediction
of
spectral
properties
via
linear
response
(LR)
theory
is
an
important
tool
in
quantum
chemistry
for
understanding
photoinduced
processes
molecular
systems.
With
the
advances
computing,
we
recently
adapted
this
method
near-term
hardware
using
a
truncated
active
space
approximation
with
orbital
rotation,
named
(qLR).
In
effort
to
reduce
classic
cost
hybrid
approach,
here
derive
and
implement
reduced
density
matrix
(RDM)
driven
approach
qLR.
This
allows
calculation
moderately
sized
molecules
much
larger
basis
sets
than
so
far
possible.
We
report
qLR
results
benzene
Language: Английский
Divergences in classical and quantum linear response and equation of motion formulations
The Journal of Chemical Physics,
Journal Year:
2024,
Volume and Issue:
161(12)
Published: Sept. 25, 2024
Calculating
molecular
properties
using
quantum
devices
can
be
performed
through
the
linear
response
(qLR)
or,
equivalently,
equation
of
motion
(qEOM)
formulations.
Different
parameterizations
qLR
and
qEOM
are
available,
namely
naïve,
projected,
self-consistent,
state-transfer.
In
naïve
projected
parameterizations,
metric
is
not
identity,
we
show
that
it
depends
on
redundant
orbital
rotations.
This
dependency
may
lead
to
divergences
in
excitation
energies
for
certain
choices
rotation
parameters
an
idealized
noiseless
setting.
Furthermore,
this
leads
a
significant
variance
when
calculations
include
statistical
noise
from
finite
sampling.
Language: Английский
Estimating Molecular Thermal Averages with the Quantum Equation of Motion and Informationally Complete Measurements
Entropy,
Journal Year:
2024,
Volume and Issue:
26(9), P. 722 - 722
Published: Aug. 23, 2024
By
leveraging
the
Variational
Quantum
Eigensolver
(VQE),
"quantum
equation
of
motion"
(qEOM)
method
established
itself
as
a
promising
tool
for
quantum
chemistry
on
near-term
computers
and
has
been
used
extensively
to
estimate
molecular
excited
states.
Here,
we
explore
novel
application
this
method,
employing
it
compute
thermal
averages
systems,
specifically
molecules
like
ethylene
butadiene.
A
drawback
qEOM
is
that
requires
measuring
expectation
values
large
number
observables
ground
state
system,
necessary
measurements
can
become
bottleneck
method.
In
work,
focus
through
informationally
complete
positive
operator-valued
measures
(IC-POVMs)
achieve
reduction
in
measurement
overheads
by
estimating
different
interest
single
set
POVMs.
We
show
with
numerical
simulations
combined
IC-POVM
ensures
satisfactory
accuracy
reconstruction
reasonable
shots.
Language: Английский
Vibronic Structure of the UV/Visible Absorption Spectra of Phenol and Phenolate: A Hybrid Density Functional Theory─Doktorov’s Quantum Algorithm Approach
The Journal of Physical Chemistry A,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Dec. 24, 2024
The
Doktorov's
quantum
algorithm
has
been
enacted
in
combination
with
time-dependent
density
functional
theory
(TD-DFT)
to
simulate
the
vibronic
structure
of
UV/visible
absorption
spectra
phenol
and
phenolate
molecules.
On
one
hand,
DFT
TD-DFT
are
employed
classical
algorithms
calculate
ground
excited-state
electronic
structures
as
well
their
vibrational
frequencies
normal
modes,
whereas,
on
other
for
evaluating
transition
intensities.
In
comparison
a
previous
study,
J.
Phys.
Chem.
A
2024,
128,
4369–4377,
which
demonstrated
proof
concept
predict
ionization
spectra,
it
is
applied
here
medium-size
molecules
more
than
30
without
accounting
Duschinsky
rotations
due
software
limitations.
This
application
also
enables
assessing
impact
differences
between
excited
states.
Language: Английский