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Explore a hybrid quantum-classical algorithm that bridges Variational Quantum Eigensolver (VQE) and Configuration Interaction (CI) methods in this 53-minute conference talk. Learn how Quantum SENiority-based Subspace Expansion (Q-SENSE) constructs Hamiltonian matrix elements on quantum devices while solving eigenvalue problems classically, offering a novel approach to quantum computation. Discover how this method introduces seniority operators as artificial symmetries to create orthogonal basis states, distinguishing it from other expansion-based approaches like Quantum Subspace Expansion (QSE), Quantum Krylov Algorithms, and the Non-Orthogonal Quantum Eigensolver. Understand how the seniority-symmetry-based framework addresses one of VQE's primary limitations on near-term quantum hardware by reducing circuit depth, though requiring measurement of additional matrix elements. Examine how artificial symmetries minimize the number of Hamiltonian terms requiring measurement, as only a small fraction couple basis states across different seniority subspaces. Gain insights into Q-SENSE's potential as a scalable and resource-efficient pathway to quantum advantage on near-term quantum devices and in early fault-tolerant quantum computing regimes, presented by Artur Izmaylov from the University of Toronto at IPAM's workshop on bridging NISQ and fault-tolerant quantum computing.
