Cayley graphs and complexity geometry

DOI10.1007/JHEP02(2019)063zbMath1411.81184arXiv1808.06620WikidataQ128370059 ScholiaQ128370059MaRDI QIDQ1735572

Henry W. Lin

Publication date: 28 March 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06620

zbMATH Keywords

AdS-CFT correspondencerandom systems

Mathematics Subject Classification ID

Applications of graph theory (05C90) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of statistics to physics (62P35)

Related Items (8)

How smooth is quantum complexity? ⋮ The geometrization of quantum mechanics, the nonlinear Klein-Gordon equation, Finsler gravity and phase spaces ⋮ Complexity geometry and Schwarzian dynamics ⋮ Complexity growth in integrable and chaotic models ⋮ WdW-patches in \(\mathrm{AdS}_3\) and complexity change under conformal transformations. II ⋮ Circuit complexity of knot states in Chern-Simons theory ⋮ Stringy effects and the role of the singularity in holographic complexity ⋮ Thermal fluctuations evolution of the new Schwarzschild black hole

Cites Work

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• Ramanujan graphs
• Operator growth in the SYK model
• Holographic complexity equals which action?
• The hyperbolic geometry of random transpositions
• A phase transition in the random transposition random walk
• Addendum to computational complexity and black hole horizons
• Quantum Computational Riemannian and Sub-Riemannian Geodesics
• Shuffling Cards and Stopping Times
• The Expected order of a Random Permutation
• Random Cayley graphs and expanders

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