Geometric properties of evolutionary graph states and their detection on a quantum computer

Geometric properties of evolutionary graph states spin systems generated by the operator evolution with Ising Hamiltonian are examined, using their relationship fluctuations energy. We find that geometric characteristics depend on corresponding graphs. Namely, it is obtained energy in and therefore velocity quantum evolution, curvature, torsion related to total number edges, triangles, squares The results give a possibility quantify devise achieve supremacy solving this problem development multi-qubit computer. chain, triangle, square detected basis calculations IBM's computer ibmq_manila.