1,973 research outputs found
Relaxation Methods for Mixed-Integer Optimal Control of Partial Differential Equations
We consider integer-restricted optimal control of systems governed by
abstract semilinear evolution equations. This includes the problem of optimal
control design for certain distributed parameter systems endowed with multiple
actuators, where the task is to minimize costs associated with the dynamics of
the system by choosing, for each instant in time, one of the actuators together
with ordinary controls. We consider relaxation techniques that are already used
successfully for mixed-integer optimal control of ordinary differential
equations. Our analysis yields sufficient conditions such that the optimal
value and the optimal state of the relaxed problem can be approximated with
arbitrary precision by a control satisfying the integer restrictions. The
results are obtained by semigroup theory methods. The approach is constructive
and gives rise to a numerical method. We supplement the analysis with numerical
experiments
Superconductivity and Non-Classical Long-Range Order on a Quantum Computer
An important problem in quantum information is the practical demonstration of
non-classical long-range order on quantum computers. One of the best known
examples of a quantum system with non-classical long-range order is a
superconductor. Here we achieve Cooper pairing of qubits on a quantum computer
to represent superconducting or superfluid states. We rigorously confirm the
quantum long-range order by measuring the large eigenvalue of the
two-electron reduced density matrix. The demonstration of maximal quantum
long-range order is an important step towards more complex modeling of
superconductivity and superfluidity as well as other phenomena with significant
quantum long-range order on quantum computers
Heavy metal content of Lactuca sativa L. grown on soils from historic mining and smelting sites in Styria (Austria) described by the Electro-Ultrafiltration (EUF) method and kinetic models
Quantum Simulation of Bosons with the Contracted Quantum Eigensolver
Quantum computers are promising tools for simulating many-body quantum
systems due to their potential scaling advantage over classical computers.
While significant effort has been expended on many-fermion systems, here we
simulate a model entangled many-boson system with the contracted quantum
eigensolver (CQE). We generalize the CQE to many-boson systems by encoding the
bosonic wavefunction on qubits. The CQE provides a compact ansatz for the
bosonic wave function whose gradient is proportional to the residual of a
contracted Schr\"odinger equation. We apply the CQE to a bosonic system, where
quantum harmonic oscillators are coupled through a pairwise quadratic
repulsion. The model is relevant to the study of coupled vibrations in
molecular systems on quantum devices. Results demonstrate the potential
efficiency of the CQE in simulating bosonic processes such as molecular
vibrations with good accuracy and convergence even in the presence of noise
Bench vs. Jury Trials Convictions and Sentencing Outcomes for Arrested Officers, 2005-2016
Presentation at the Annual Meeting of the Academy of Criminal Justice Sciences, Las Vegas, NV, on March 18, 2022
No equity, no triple aim: strategic proposals to advance health equity in a volatile policy environment
Health professionals, including social workers, community health workers, public health workers, and licensed health care providers, share common interests and responsibilities in promoting health equity and improving social determinants of health—the conditions in which we live, work, play, and learn. This article summarizes underlying causes of health inequity and comparatively poor health outcomes in the U.S. It describes barriers to realizing the hope embedded in the 2010 Patient Protection and Affordable Care Act that moving away from fee-for-service payments will naturally drive care upstream as providers respond to greater financial risk for the health of their patients by undertaking greater prevention efforts. The article asserts that health equity should serve as the guiding framework for achieving the Triple Aim of health care reform. It outlines practical opportunities for improving care and for promoting stronger efforts to address social determinants of health. These proposals include developing a dashboard of measures to assist providers committed to health equity and community-based prevention and to promote institutional accountability for addressing socio-economic factors that influence health
No equity, no triple aim: strategic proposals to advance health equity in a volatile policy environment
Health professionals, including social workers, community health workers, public health workers, and licensed health care providers, share common interests and responsibilities in promoting health equity and improving social determinants of health—the conditions in which we live, work, play, and learn. This article summarizes underlying causes of health inequity and comparatively poor health outcomes in the U.S. It describes barriers to realizing the hope embedded in the 2010 Patient Protection and Affordable Care Act that moving away from fee-for-service payments will naturally drive care upstream as providers respond to greater financial risk for the health of their patients by undertaking greater prevention efforts. The article asserts that health equity should serve as the guiding framework for achieving the Triple Aim of health care reform. It outlines practical opportunities for improving care and for promoting stronger efforts to address social determinants of health. These proposals include developing a dashboard of measures to assist providers committed to health equity and community-based prevention and to promote institutional accountability for addressing socio-economic factors that influence health
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