Year: 2022
Type: article
Abstract: Holographic complexity proposals have sparked interest in quantifying the cost of state preparation in quantum field theories and its possible dual gravitational manifestations. The most basic ingredient in defining complexity is the notion of a class of circuits that, when acting on a given reference state, all produce a desired target state. In the present work we build on studies of circuits performing local conformal transformations in general two-dimensional conformal field theories and construct the exact gravity dual to such circuits. In our approach to holographic complexity, the gravity dual to the optimal circuit is the one that minimizes an externally chosen cost assigned to each circuit. Our results provide a basis for studying exact gravity duals to circuit costs from first principles.
Source: SciPost Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G1175115578, G1622782223, G20460470, G2152757567, G2233160401, G2262748287, G2554159582, G2756433129, G282847690, G300979063, G3139314835, G3421188450, G34346518, G3480869486, G410571670, G425668148, G451917667, G4526231891, G4775556186, G5080475149, G5163368357, G5539308778, G5967599077, EXC 2147: Komplexität und Topologie in Quantenmaterialien (CT.QMAT), G6731467812, G7084143925, G7188643027, G8178315791, G929308097
OpenAlex ID: W4296617355