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We consider the logarithmic negativity and related quantities of timeevolution operators. We study free fermion, compact boson, and holographicconformal field theories (CFTs) as well as numerical simulations of randomunitary circuits and integrable and chaotic spin chains. The holographicbehavior strongly deviates from known non-holographic CFT results and displaysclear signatures of maximal scrambling. Intriguingly, the random unitarycircuits display nearly identical behavior to the holographic channels.Generically, we find the "line-tension picture" to effectively capture theentanglement dynamics for ergodic systems and the "quasi-particle picture" forintegrable systems. With this motivation, we propose an effective line-tensionthat captures the dynamics of the logarithmic negativity in ergodic systems inthe spacetime scaling limit. We compare the negativity and mutual informationleading us to find distinct dynamics of quantum and classical information. The"spurious entanglement" we observe may have implications on the"simulatability" of quantum systems on classical computers. Finally, weelucidate the connection between the operation of partially transposing adensity matrix in conformal field theory and the entanglement wedge crosssection in Anti-de Sitter space using geodesic Witten diagrams.

Quantum vs. classical information: operator negativity as a probe of scrambling