Gravitational back-reaction is magical

Understand

We study the interplay between magic and entanglement in quantum many-body systems.

• We show that non-local magic, which is supported by the quantum correlations is lower bounded by the non-flatness of entanglement spectrum and upper bounded by the amount of entanglement in the system.
• We then argue that a smoothed version of non-local magic bounds the hardness of classical simulations for incompressible states.
• In conformal field theories, we conjecture that the non-local magic should scale linearly with entanglement entropy but sublinearly when an approximation of the state is allowed.