Holographic Complexity Equals Bulk Action
TLDR
The hypothesis that black holes are the fastest computers in nature is discussed and the conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that is called a Wheeler-DeWitt patch is illustrated.Abstract:
We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in anti-de Sitter spacetime, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature.read more
Citations
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Traversable wormholes as quantum channels: exploring CFT entanglement structure and channel capacity in holography
Ning Bao,Ning Bao,Aidan Chatwin-Davies,Aidan Chatwin-Davies,Jason Pollack,Grant N. Remmen,Grant N. Remmen +6 more
TL;DR: In this article, the traversable wormhole in AdS/CFT was interpreted as both a quantum channel and entanglement witness, and protocols were defined that allow either the bounding of the channel's capacity or the determination of aspects of the structure between the two boundary CFTs.
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Action growth for black holes in modified gravity
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Surface/state correspondence and T T ¯ deformation
TL;DR: In this paper, the authors proposed that the quantum states of the two-dimensional $T\overline{T}$-deformed holographic conformal field theory (CFT) are dual to some particular surfaces in the ${\mathrm{AdS}}_{3}$ gravity.
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Complexity and Momentum
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References
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