16 May 2024 | ChunJun Cao, Gong Cheng, Alioscia Hamma, Lorenzo Leone, William Munizzi, Savatore F.E. Oliviero
The paper explores the interplay between magic and entanglement in quantum many-body systems, focusing on non-local magic. Non-local magic is defined as the non-stabilizerness that arises from correlations between subsystems, distinct from local magic. The authors show that non-local magic is lower bounded by the non-flatness of the entanglement spectrum and upper bounded by the amount of entanglement in the system. They conjecture that in conformal field theories (CFTs), non-local magic scales linearly with entanglement entropy but sublinearly when an approximation of the state is allowed. Using analytical arguments and numerical data from an Ising CFT, they support these conjectures. Additionally, they prove that in holographic CFTs, non-local magic vanishes if and only if there is no gravitational back-reaction. The paper also discusses the connection between non-local magic and the rate of change of the minimal surface area in response to changes in cosmic brane tension in the bulk.The paper explores the interplay between magic and entanglement in quantum many-body systems, focusing on non-local magic. Non-local magic is defined as the non-stabilizerness that arises from correlations between subsystems, distinct from local magic. The authors show that non-local magic is lower bounded by the non-flatness of the entanglement spectrum and upper bounded by the amount of entanglement in the system. They conjecture that in conformal field theories (CFTs), non-local magic scales linearly with entanglement entropy but sublinearly when an approximation of the state is allowed. Using analytical arguments and numerical data from an Ising CFT, they support these conjectures. Additionally, they prove that in holographic CFTs, non-local magic vanishes if and only if there is no gravitational back-reaction. The paper also discusses the connection between non-local magic and the rate of change of the minimal surface area in response to changes in cosmic brane tension in the bulk.