Cite as: doi:10.26081/K6C34T

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Two distant black holes can be connected in the interior through a
wormhole. Such a wormhole has been interpreted as an entangled state
shared between two exterior regions. If Alice and Bob send signals into
each of the black holes, they can meet in the interior. In this talk, we
interpret this meeting in terms of the quantum circuit that prepares the
entangled state: Alice and Bob sending signals creates growing
perturbations in the circuit, whose overlap represents their meeting
inside the wormhole. We argue that such overlap in the circuit is
quantified by a particular six-point correlation function. By looking at
different versions of the six-point functions, we quantify two-sided
operator growth, which provides a dual description of the signals
meeting in the black hole interior, in terms of the quantum butterfly
effect and quantum circuits. We also consider an explicit coupling
between the left and right CFTs to make the wormhole traversable and
extract information about the collision product from behind the horizon.
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