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Exact Gravity Duals for Simple Quantum Circuits
by Johanna Erdmenger, Mario Flory, Marius Gerbershagen, Michal P. Heller and Anna-Lena Weigel
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Johanna Erdmenger · Mario Flory · Marius Gerbershagen · Michal P. Heller |
| Submission information | |
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| Preprint Link: | scipost_202203_00020v2 (pdf) |
| Date accepted: | 2022-07-25 |
| Date submitted: | 2022-06-23 10:21 |
| Submitted by: | Gerbershagen, Marius |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
List of changes
- implemented the requested changes around equation (40)
- fixed some typos in appendix A
Published as SciPost Phys. 13, 061 (2022)