Quantum computing critical exponents

We show that the variational quantum-classical simulation algorithm admits a finite circuit depth scaling collapse when targeting critical point of transverse field Ising chain. The order parameter only collapses on one side transition due to slowdown quantum crossing phase transition. In assess performance and compute correlations in system up 752 qubits, we use techniques from integrability derive closed-form analytical expressions for expectation values with respect output circuit. also reduce conjecture made by Ho Hsieh [W. W. T. H. Hsieh, SciPost Phys. 6, 029 (2019)] about exact preparation ground state equations.