@InProceedings{legall:LIPIcs.CCC.2019.21, author = {Le Gall, Fran\c{c}ois}, title = {{Average-Case Quantum Advantage with Shallow Circuits}}, booktitle = {34th Computational Complexity Conference (CCC 2019)}, pages = {21:1--21:20}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-116-0}, ISSN = {1868-8969}, year = {2019}, volume = {137}, editor = {Shpilka, Amir}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CCC.2019.21}, URN = {urn:nbn:de:0030-drops-108432}, doi = {10.4230/LIPIcs.CCC.2019.21}, annote = {Keywords: Quantum computing, circuit complexity, constant-depth circuits} }