Non universality of entanglement convertibility

Understand

Recently, it has been suggested that operational properties connected to quantum computation can be alternative indicators of quantum phase transitions.

• In this work we systematically study these operational properties in 1D systems that present phase transitions of different orders.
• For this purpose, we evaluate the local convertibility between bipartite ground states.
• Our results suggest that the operational properties, related to non-analyticities of the entanglement spectrum, are good detectors of explicit symmetries of the model, but not necessarily of phase transitions.