analiza aiqbench

This research fundamentally redefines the computational limits of quantum simulation by demonstrating that Vanishing Geometric Phase (VGP) is a more accurate boundary indicator than stoquasticity. The study proves that VGP Hamiltonians can be significantly harder to simulate, shifting the paradigm from sign-problem constraints based on matrix properties to those rooted in geometric phase structures. This finding offers critical theoretical clarity for researchers developing algorithms and hardware aimed at solving complex local Hamiltonian problems beyond current tractability thresholds.