REVIEW 5 cited by
Computational pseudorandomness, the wormhole growth paradox, and constraints on the AdS/CFT duality
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
A fundamental issue in the AdS/CFT correspondence is the wormhole growth paradox. Susskind's conjectured resolution of the paradox was to equate the volume of the wormhole with the circuit complexity of its dual quantum state in the CFT. We study the ramifications of this conjecture from a complexity-theoretic perspective. Specifically we give evidence for the existence of computationally pseudorandom states in the CFT, and argue that wormhole volume is measureable in a non-physical but computational sense, by amalgamating the experiences of multiple observers in the wormhole. In other words the conjecture equates a quantity which is difficult to compute with one which is easy to compute. The pseudorandomness argument further implies that this is a necessary feature of any resolution of the wormhole growth paradox, not just of Susskind's Complexity=Volume conjecture. As a corollary we conclude that either the AdS/CFT dictionary map must be exponentially complex, or the quantum Extended Church-Turing thesis must be false in quantum gravity.
Forward citations
Cited by 5 Pith papers
-
Quantum Simulation of Random Unitaries from Clebsch-Gordan Transforms
Clebsch-Gordan transforms give exact compressed oracles for Haar-random unitary group actions, with efficient circuits for U(d).
-
The leading-soft cubic graviton self-interaction on the black-hole horizon
The leading-soft cubic self-coupling of traceless horizon gravitons vanishes; only the trace-sector vertex survives, and it does not thermalize the longitudinal sector at accessible sizes.
-
Noise-Induced Thermalization in Quantum Systems
Interleaving random or phase-flip noise with Hamiltonian evolution accelerates—and for integrable chains enables—local convergence to Gibbs states in small spin-chain simulations.
-
On tests for baby universes in AdS/CFT
With a post-selected holographic map for the baby universe, the Engelhardt-Gesteau swap test cannot distinguish the two candidate bulk duals.
-
Emergent Holographic Spacetime from Quantum Information
Takayanagi's essay outlines a research program in which holographic spacetime, including the time direction, may emerge from entanglement, complexity, and complex-valued pseudo-entropy, without presenting a new derivation.
Discussion (0). Sign in to comment.