Jul 18 – 23, 2022
University of Vienna
Europe/Vienna timezone

Quantum Circuits and Berry Phases in AdS3

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Audimax (University of Vienna)


University of Vienna

Universitätsring 1, 1010 Vienna, Austria


Anna-Lena Weigel


Quantum circuits can be constructed from Virasoro symmetry transformations in a two-dimensional CFT. Employing the holographic dictionary we realize such circuits in AdS3 as a non-trivial time evolution of the bulk spacetime. This allows us to find holographic duals to CFT cost functionals such as the Fubini-Study metric.
The same transformations we use to construct the circuits also give rise to Berry phases. These Virasoro Berry phases play a pivotal role in realizing the holographic features of bulk wormholes. The holonomy induced by the wormholes can be interpreted in terms of a coupling between Virasoro orbits which become manifest through a Virasoro Berry phase of the coupled orbits. For an eternal black hole in AdS, the coupling parameter, giving rise to a non-trivial Berry phase, is related to the expectation value of the energy-momentum tensor of the holographic CFT.

Primary authors

Anna-Lena Weigel Johanna Erdmenger (Julius.Maximilians University Würzburg) Mario Flory (Jagiellonian University) Marius Gerbershagen (University of Würzburg) Michal P. Heller (Max Planck Institute for Gravitational Physics (Albert Einstein Institute)) Moritz Dorband (Julius-Maximilians University Würzburg) René Meyer (Julius-Maximilians University Würzburg) Souvik Banerjee (Julius-Maximilians University Würzburg)

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