Expected output for vqe_h2_zz.qasm: This file measures one VQE trial state in the Z basis. In displayed q[0] q[1] order, an ideal 1024-shot run should put most of the probability on the two occupation patterns: {'01': ~512, '10': ~512} Small deviations are normal shot noise. These Z-basis counts estimate the Z0, Z1, and Z0Z1 terms of the reduced H2 Hamiltonian. A complete VQE energy estimate also requires X-basis and Y-basis measurement circuits for the X0X1 and Y0Y1 terms, followed by a classical combination of all Pauli expectations with their Hamiltonian coefficients.