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The proliferation of distributed energy resources (DERs), located at the Distribution System Operator (DSO) level, bring new opportunities as well challenges to operations within grid, specifically, when it comes interaction with Transmission (TSO). To enable interoperability, while ensuring higher flexibility and cost-efficiency, DSOs TSO need be efficiently coordinated. Difficulties behind cr...

The solving of linear systems provides a rich area to investigate the use nearer-term, noisy, intermediate-scale quantum computers. In this work, we discuss hybrid quantum-classical algorithms for skewed over-determined and under-determined cases. Our input model is such that columns or rows matrix defining system are given via circuits poly-logarithmic depth number much smaller than their Hilb...

in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...