Warm-Starting the VQE with Approximate Complex Amplitude Encoding

Understand

The Variational Quantum Eigensolver (VQE) is a Variational Quantum Algorithm (VQA) to determine the ground state of quantum-mechanical systems.

• As a VQA, it makes use of a classical computer to optimize parameter values for its quantum circuit.
• However, each iteration of the VQE requires a multitude of measurements, and the optimization is subject to obstructions, such as barren plateaus, local minima, and subsequently slow convergence.
• We propose a warm-starting technique, that utilizes an approximation to generate beneficial initial parameter values for the VQE aiming to mitigate these effects.