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Geometric View of Iterative Fixed-Node Dynamics
Pranav Kairon, Bryan K. Clark
The sign-structure of a quantum many-body ground state is a central quantity in fixed-node approaches to mitigating the Fermion sign problem. For continuum electronic-structure Ham…
Equivalence between exponential concentration in quantum machine learning kernels and barren plateaus in variational algorithms
Pranav Kairon, Jonas Jäger, Roman V. Krems
We formalize a rigorous connection between barren plateaus (BP) in variational quantum algorithms and exponential concentration of quantum kernels for machine learning. Our results…
Extrapolation of polaron properties to low phonon frequencies by Bayesian machine learning
Pranav Kairon, John Sous, Mona Berciu +1
Feasibility of accurate quantum calculations is often restricted by the dimensionality of the truncated Hilbert space required for the numerical computations. The present work demo…
Comparative study of variational quantum circuit and quantum backpropagation multilayer perceptron for COVID-19 outbreak predictions
Pranav Kairon, Siddhartha Bhattacharyya
There are numerous models of quantum neural networks that have been applied to variegated problems such as image classification, pattern recognition etc.Quantum inspired algorithms…