Hot-Start Optimization for Variational Quantum Eigensolver

Abstract: The Variational Quantum Eigensolver (VQE) is one the most perspective algorithms for simulation of quantum many body physics that have recently attached a lot of attention and believed would be practical for implementation on the near term quantum devices. However, its feasibility and accuracy critically depend on the ansatz structure, which can be defined in different ways and appropriate choosing the structure presents a bottleneck of the protocol. In our work we present the optimization approach allowing shallow circuit solution. The major achievement of our Hot-Start method is the requiring gates number restriction by several times. In result it increases the fidelity of the final results what is important for the current noise quantum devices implementation. We suggest Hot-Start optimization to be a good new methods beginning for the modern quantum computational devices functionality development.