Sophia Economou - Problem-Tailored Variational Quantum Algorithms - IPAM at UCLA

Explore a comprehensive lecture on problem-tailored variational quantum algorithms presented by Sophia Economou of Virginia Tech at IPAM's Quantum Numerical Linear Algebra Workshop. Delve into the critical aspects of variational quantum algorithms (VQAs), focusing on the importance of objective functions and variational ansatze. Discover techniques for creating problem-tailored ansatze, including symmetry-preserving circuits, the ADAPT-VQE algorithm, and the pulse-based VQE known as ctrl-VQE. Examine how these approaches outperform competing ansatze in terms of circuit depth, accuracy, and trainability through simulation results. Cover key topics such as algorithm criterion, algorithm flowchart, classical simulations, operator pools, proof, trainability, and pulse parameterization. Gain valuable insights into the latest advancements in quantum numerical linear algebra and their potential applications in this 40-minute recorded session from January 26, 2022.

Introduction
Algorithm criterion
Algorithm flowchart
Classical simulations
Operator pools
Proof
Trainability
Parameterizing pulses