Diagnosing collisions in the interior of a wormhole

Abstract

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 letter, 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. Therefore, exterior observers in possession of the entangled qubits can use this correlation function to diagnose the collision in the interior without having to jump in themselves.

5 pages, 5 figures; v2: Details and calculations added; v3: Published version in PRD

References in corpus (4)

• Complexity and Shock Wave Geometries
• Dear Qubitzers, GR=QM
• Size and momentum of an infalling particle in the black hole interior
• Collision in the interior of wormhole

Cited by in corpus (8)

• Random Matrix Theory for Complexity Growth and Black Hole Interiors
• Operator growth in 2d CFT
• Six-point functions and collisions in the black hole interior
• Bouncing inside the horizon and scrambling delays
• Collisions of localized shocks and quantum circuits
• Operator growth and black hole formation
• Reparametrization mode Ward Identities and chaos in higher-pt. correlators in CFT${}_2$
• Holographic Black Hole Formation and Scrambling in Time-Ordered Correlators