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We initiate quantitative studies of complexity in (1+1)-dimensional conformal field theories with a view that they provide the simplest setting to find a gravity dual to complexity.
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A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle and Y. Zhao, Complexity, action, and black holes
2016
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J. Couch, W. Fischler and P. H. Nguyen, Noether charge, black hole volume, and complexity
2017
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R. Jefferson and R. C. Myers, Circuit complexity in quantum field theory
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A. R. Brown, L. Susskind and Y. Zhao, Quantum Complexity and Negative Curvature
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2004
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M. A. Nielsen, M. R. Dowling, M. Gu and A. M. Doherty, Quantum Computation as Geometry
2006
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S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
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M. Flory and M. P. Heller, Conformal field theory complexity from Euler-Arnold equations
2007
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J. Lenells, The hunter-saxton equation describes the geodesic flow on a sphere
2007
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A series of modern surveys in mathematics. Springer Berlin Heidelberg, 2008
B. Khesin and R. Wendt, The Geometry of Infinite-Dimensional Groups · 2008
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D. Stanford and L. Susskind, Complexity and Shock Wave Geometries
2014
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2017
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2017
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2018
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A. R. Brown and L. Susskind, Second law of quantum complexity
2018
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2019
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2019
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M. Flory and N. Miekley, Complexity change under conformal transformations in AdS 3
2019
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P. Caputa and J. M. Magan, Quantum Computation as Gravity
2019
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A. Belin, A. Lewkowycz and G. Sárosi, Complexity and the bulk volume, a new York time story
2019
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A. Bernamonti, F. Galli, J. Hernandez, R. C. Myers, S.-M. Ruan and J. Simón, Aspects of the first law of complexity
2020
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