A baby universe from a large family: booklet cosmology states and quantum error correction
Abstract
We propose an extension of the cosmological-state construction of Antonini, Sasieta and Swingle (AS2) to three or more holographic CFTs. Each CFT resides on the asymptotic boundary of an AdS page, and all pages are glued along a common interface by imposing the multiway junction conditions. The associated states are prepared by Euclidean evolution with a multilinear insertion. In appropriate heavy insertion limit the bulk geometry develop a closed universe in the center and we refer the state in this limit as a booklet cosmological state. Extending the effective Gaussian assumption used in AS2, we model the three-page insertion by a circular complex Gaussian random tensor, yielding a tripartite Haar state in flat energy windows. In this Gaussian model of the cosmology-to-boundary map, each arm is a network branch associated with one boundary CFT. In the simplest example of three pages with three equal output Hilbert-space dimension b, we show that a prescribed code of dimension K is approximately recoverable from any two arms, with vanishing error and high probability as K/b→0.
Related
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BibTeX
@misc{dai2026baby,
title = {{A baby universe from a large family: booklet cosmology states and quantum error correction}},
author = {Jingshu Dai and Binye Dong and Cheng Peng},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02168},
eprint = {2610.02168},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02168},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A baby universe from a large family: booklet cosmology states and quantum error correction
AU - Jingshu Dai
AU - Binye Dong
AU - Cheng Peng
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.02168
UR - https://arxiv.org/abs/2610.02168
AB - We propose an extension of the cosmological-state construction of Antonini, Sasieta and Swingle (AS^2) to three or more holographic CFTs. Each CFT resides on the asymptotic boundary of an AdS page, and all pages are glued along a common interface by imposing the multiway junction conditions. The associated states are prepared by Euclidean evolution with a multilinear insertion. In appropriate heavy insertion limit the bulk geometry develop a closed universe in the center and we refer the state in this limit as a booklet cosmological state. Extending the effective Gaussian assumption used in AS^2, we model the three-page insertion by a circular complex Gaussian random tensor, yielding a tripartite Haar state in flat energy windows. In this Gaussian model of the cosmology-to-boundary map, each arm is a network branch associated with one boundary CFT. In the simplest example of three pages with three equal output Hilbert-space dimension b, we show that a prescribed code of dimension K is approximately recoverable from any two arms, with vanishing error and high probability as K/b→0.
ER -