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Black holes, entanglement and random matrices

Balasubramanian, Vijay; Berkooz, Micha; Ross, Simon F.; Simón, Joan

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Vijay Balasubramanian

Micha Berkooz

Joan Simón


We provide evidence that strong quantum entanglement between Hilbert spaces does not generically create semiclassical wormholes between the corresponding geometric regions in the context of the AdS/CFT correspondence. We propose a description of low-energy gravity probes as random operators on the space of black hole states. We use this description to compute correlators between the entangled systems, and argue that a wormhole can only exist if correlations are large. Conversely, we also argue that large correlations can exist in the manifest absence of a Lorentzian wormhole. Thus the strength of the entanglement cannot generically diagnose spacetime connectedness, without information on the spectral properties of the probing operators. Our random matrix picture of probes also provides suggestive insights into the problem of 'seeing behind a horizon'.


Balasubramanian, V., Berkooz, M., Ross, S. F., & Simón, J. (2014). Black holes, entanglement and random matrices. Classical and Quantum Gravity, 31(18),

Journal Article Type Article
Online Publication Date Aug 28, 2014
Publication Date Sep 1, 2014
Deposit Date Aug 29, 2014
Publicly Available Date Sep 3, 2014
Journal Classical and Quantum Gravity
Print ISSN 0264-9381
Electronic ISSN 1361-6382
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 31
Issue 18


Accepted Journal Article (355 Kb)

Copyright Statement
© 2014 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at

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