  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.
