Finite-depth scaling of infinite quantum circuits for quantum critical points

The scaling of the entanglement entropy at a quantum critical point allows us to extract universal properties state, e.g., central charge conformal field theory. With rapid improvement noisy intermediate-scale (NISQ) devices, these computers present themselves as powerful tool study many-body systems. We use finite-depth circuits suitable for NISQ devices variational ansatz represent ground states critical, infinite find relations and verify them numerically two different points, i.e., Ising model with an additional symmetry-preserving term XXZ model.