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Diagnosing collisions in the interior of a wormhole

Diagnosing collisions in the interior of a wormhole
Diagnosing collisions in the interior of a wormhole
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.
hep-th, gr-qc, quant-ph
2470-0010
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Zhao, Ying
f7e965ce-4cc7-4489-8683-644d85b58137
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Zhao, Ying
f7e965ce-4cc7-4489-8683-644d85b58137

Haehl, Felix M. and Zhao, Ying (2021) Diagnosing collisions in the interior of a wormhole. Phys. Rev. D, 104, [L021901]. (doi:10.1103/PhysRevD.104.L021901).

Record type: Article

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.

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2104.02736v3 - Accepted Manuscript
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PhysRevD.104.L021901 (1) - Version of Record
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More information

Accepted/In Press date: 5 July 2021
Published date: 28 July 2021
Additional Information: 5 pages, 5 figures; v2: Details and calculations added; v3: Published version in PRD
Keywords: hep-th, gr-qc, quant-ph

Identifiers

Local EPrints ID: 470340
URI: http://eprints.soton.ac.uk/id/eprint/470340
ISSN: 2470-0010
PURE UUID: 27437918-4788-4705-945b-5a1fa8d62205
ORCID for Felix M. Haehl: ORCID iD orcid.org/0000-0001-7426-0962

Catalogue record

Date deposited: 06 Oct 2022 16:56
Last modified: 17 Mar 2024 04:14

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Contributors

Author: Felix M. Haehl ORCID iD
Author: Ying Zhao

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