Doped stabilizer states in many-body physics and where to find them

• DOI: 10.48550/arxiv.2403.14912
• Publication Date: 2024-03-21
• Authors: Andi Gu; Salvatore F. E. O...; Lorenzo Leone
• Keywords: Stabilizer (aeronautics)

This work uncovers a fundamental connection between doped stabilizer states, concept from quantum information theory, and the structure of eigenstates in perturbed many-body systems. We prove that for Hamiltonians consisting sum commuting Pauli operators (i.e., Hamiltonians) perturbation composed limited number arbitrary terms, can be represented as states with small nullity. result enables application techniques to broad class systems, even highly entangled regimes. Building on this, we develop efficient classical algorithms tasks such finding low-energy eigenstates, simulating quench dynamics, preparing Gibbs computing entanglement entropies these Our opens up new possibilities understanding robustness topological order dynamics systems under perturbations, paving way novel insights into interplay information, entanglement,