692 research outputs found
Interlaced Dynamical Decoupling and Coherent Operation of a Singlet-Triplet Qubit
We experimentally demonstrate coherence recovery of singlet-triplet
superpositions by interlacing qubit rotations between Carr-Purcell (CP) echo
sequences. We then compare performance of Hahn, CP, concatenated dynamical
decoupling (CDD) and Uhrig dynamical decoupling (UDD) for singlet recovery. In
the present case, where gate noise and drift combined with spatially varying
hyperfine coupling contribute significantly to dephasing, and pulses have
limited bandwidth, CP and CDD yield comparable results, with T2 ~ 80
microseconds.Comment: related papers at http://marcuslab.harvard.ed
The Resonant Exchange Qubit
We introduce a solid-state qubit in which exchange interactions among
confined electrons provide both the static longitudinal field and the
oscillatory transverse field, allowing rapid and full qubit control via rf
gate-voltage pulses. We demonstrate two-axis control at a detuning sweet-spot,
where leakage due to hyperfine coupling is suppressed by the large exchange
gap. A {\pi}/2-gate time of 2.5 ns and a coherence time of 19 {\mu}s, using
multi-pulse echo, are also demonstrated. Model calculations that include
effects of hyperfine noise are in excellent quantitative agreement with
experiment
Heterogeneity in susceptibility dictates the order of epidemiological models
The fundamental models of epidemiology describe the progression of an
infectious disease through a population using compartmentalized differential
equations, but do not incorporate population-level heterogeneity in infection
susceptibility. We show that variation strongly influences the rate of
infection, while the infection process simultaneously sculpts the
susceptibility distribution. These joint dynamics influence the force of
infection and are, in turn, influenced by the shape of the initial variability.
Intriguingly, we find that certain susceptibility distributions (the
exponential and the gamma) are unchanged through the course of the outbreak,
and lead naturally to power-law behavior in the force of infection; other
distributions often tend towards these "eigen-distributions" through the
process of contagion. The power-law behavior fundamentally alters predictions
of the long-term infection rate, and suggests that first-order epidemic models
that are parameterized in the exponential-like phase may systematically and
significantly over-estimate the final severity of the outbreak
Fast sensing of double-dot charge arrangement and spin state with an rf sensor quantum dot
Single-shot measurement of the charge arrangement and spin state of a double
quantum dot are reported, with measurement times down to ~ 100 ns. Sensing uses
radio-frequency reflectometry of a proximal quantum dot in the Coulomb blockade
regime. The sensor quantum dot is up to 30 times more sensitive than a
comparable quantum point contact sensor, and yields three times greater signal
to noise in rf single-shot measurements. Numerical modeling is qualitatively
consistent with experiment and shows that the improved sensitivity of the
sensor quantum dot results from reduced screening and lifetime broadening.Comment: related papers at http://marcuslab.harvard.ed
Self-Consistent Measurement and State Tomography of an Exchange-Only Spin Qubit
We report initialization, complete electrical control, and single-shot
readout of an exchange-only spin qubit. Full control via the exchange
interaction is fast, yielding a demonstrated 75 qubit rotations in under 2 ns.
Measurement and state tomography are performed using a maximum-likelihood
estimator method, allowing decoherence, leakage out of the qubit state space,
and measurement fidelity to be quantified. The methods developed here are
generally applicable to systems with state leakage, noisy measurements, and
non-orthogonal control axes.Comment: contains Supplementary Informatio
Conditional operation of a spin qubit
We report coherent operation of a singlet-triplet qubit controlled by the
arrangement of two electrons in an adjacent double quantum dot. The system we
investigate consists of two pairs of capacitively coupled double quantum dots
fabricated by electrostatic gates on the surface of a GaAs heterostructure. We
extract the strength of the capacitive coupling between qubit and double
quantum dot and show that the present geometry allows fast conditional gate
operation, opening pathways to multi-qubit control and implementation of
quantum algorithms with spin qubits.Comment: related papers here: http://marcuslab.harvard.ed
Ab-initio investigation of finite size effects in rutile titania nanoparticles with semilocal and nonlocal density functionals
In this work, we employ hybrid and generalized gradient approximation (GGA)
level density functional theory (DFT) calculations to investigate the
convergence of surface properties and band structure of rutile titania
(TiO) nanoparticles with particle size. The surface energies and band
structures are calculated for cuboidal particles with minimum dimension ranging
from 3.7 \r{A} (24 atoms) to 10.3 \r{A} (384 atoms) using a highly-parallel
real-space DFT code to enable hybrid level DFT calculations of larger
nanoparticles than are typically practical. We deconvolute the geometric and
electronic finite size effects in surface energy, and evaluate the influence of
defects on band structure and density of states (DOS). The electronic finite
size effects in surface energy vanish when the minimum length scale of the
nanoparticles becomes greater than 10 \r{A}. We show that this length scale is
consistent with a computationally efficient numerical analysis of the
characteristic length scale of electronic interactions. The surface energy of
nanoparticles having minimum dimension beyond this characteristic length can be
approximated using slab calculations that account for the geometric defects. In
contrast, the finite size effects on the band structure is highly dependent on
the shape and size of these particles. The DOS for cuboidal particles and more
realistic particles constructed using the Wulff algorithm reveal that defect
states within the bandgap play a key role in determining the band structure of
nanoparticles and the bandgap does not converge to the bulk limit for the
particle sizes investigated
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