Description
Variational Quantum Eigensolvers are one of the main alternatives for quantum ground state preparation for simulating many-body systems on near-term quantum hardware. Fixed structure ansätz such as the Unitary Coupled Cluster, are simple to implement, however, they often leads to deep circuits and optimization bottlenecks. To overcome these limitations, adaptive strategies such as ADAPT-VQE construct the quantum circuit step-by-step by iteratively selecting operators from a predefined pool. The algorithm produces highly compact circuits that are significantly more resilient to noise.
In this flash talk, I will outline the core mechanism of the ADAPT-VQE algorithm and explore some key variants designed to improve efficiency and quantum resources optimization. Specifically, we will discuss the implementation of reduced operator pools variants and different parameter optimization processes, highlighting gradient-free ADAPT-VQE approaches. These variants provide a highly efficient framework for many-body simulations on current quantum processors.