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BMN Matrix theory admits vacua in the shape of large spherical membranes.Per- turbing around such vacua, the setup provides for a controlledcomputational frame- work for testing information evolution in Matrix blackholes. The theory realizes excitations in the supergravity multiplet as qubits.These qubits are coupled to matrix degrees of freedom that describedeformations of the spherical shape of the membrane. Arranging the ripples onthe membrane into a heat bath, we use the qubit system as a probe and computethe associated Feynman-Vernon density matrix at one loop order. This allows usto trace the evolution of entanglement in the system and extract thecharacteristic scrambling timescale. We find that our numerical analysis isconsistent with this time scaling logarithmically with the entropy of the qubitsystem, in tune with suggestions by Sekino and Susskind.

From Black Hole to Qubits: Evidence of Fast Scrambling in BMN theory