Qubit probes can detect quantum phases in strongly correlated systems even at finite temperatures. Oscillatory signatures persist remarkably robustly, suggesting practical quantum sensing applications beyond zero-temperature constraints.

Qubit probes can detect quantum phases in strongly correlated systems even at finite temperatures. Oscillatory signatures persist remarkably robustly, suggesting practical quantum sensing applications beyond zero-temperature constraints.
New operator-space protocol detects and classifies 1D symmetry-protected topological phases from local boundary dynamics. Requires only Hamiltonian and symmetry data—no exact diagonalization, ground state, or entanglement spectrum needed.
Novel entropic diagnostic detects symmetry-protected topological phases beyond symmetry breaking, revealing residual SPT data through symmetry defect endpoint charges in one-dimensional bosonic systems.