In this note we present a simplified analysis of the quantum and classical complexity of the k-XOR Forrelation problem (introduced in the paper of Girish, Raz and Zhan [Uma Girish et al., 2020]) by a stochastic interpretation of the Forrelation distribution.
@InProceedings{wu:LIPIcs.STACS.2022.60, author = {Wu, Xinyu}, title = {{Analyzing XOR-Forrelation Through Stochastic Calculus}}, booktitle = {39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)}, pages = {60:1--60:7}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-222-8}, ISSN = {1868-8969}, year = {2022}, volume = {219}, editor = {Berenbrink, Petra and Monmege, Benjamin}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2022.60}, URN = {urn:nbn:de:0030-drops-158705}, doi = {10.4230/LIPIcs.STACS.2022.60}, annote = {Keywords: quantum complexity, Brownian motion} }
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