How symmetry silences entanglement in quantum spin chains

Entangling power measures how well a quantum operation scrambles information. The authors computed this quantity across Heisenberg spin chains and found it systematically decreases at points of higher symmetry, bottoming out at the maximally symmetric XXX point. This behavior flips in the thermodynamic limit, where free-fermion points generate maximum entanglement while symmetric points produce none—suggesting entangling power could serve as a direct probe of integrability in quantum simulators.