Towards Heisenberg Scaling: Measurement-Efficient Non-Orthogonal Quantum Eigensolver

Kavli Affiliate: Birgitta Whaley | Summary:The Non-Orthogonal Quantum Eigensolver (NOQE) provides an accurate framework for electronic-structure calculations, but the estimation of its Hamiltonian and overlap matrix elements relies on sampling and requires $O(1/varepsilon^2)$ circuit repetitions to achieve additive precision $varepsilon$. Here, we reformulate this matrix-element estimation step as a collection of amplitude-estimation tasks and integrate […]


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