Fermionic Adaptive Sampling Theory for Variational Quantum Eigensolvers

ADAPT-VQE suffers from a significant measurement overhead when estimating the importance of operators in the wave function. In this talk, we will discuss Fermionic Adaptive Sampling Theory VQE (FAST-VQE), a method for selecting operators based on importance metrics solely derived from the populations of Slater determinants in the wave function. Our method mitigates measurement overheads for ADAPT-VQE as it is only dependent on the populations of Slater determinants which can simply be determined by measurements in the computational basis.