License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2022.60
URN: urn:nbn:de:0030-drops-158705
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Wu, Xinyu

Analyzing XOR-Forrelation Through Stochastic Calculus

LIPIcs-STACS-2022-60.pdf (0.8 MB)


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.

BibTeX - Entry

  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 =		{},
  URN =		{urn:nbn:de:0030-drops-158705},
  doi =		{10.4230/LIPIcs.STACS.2022.60},
  annote =	{Keywords: quantum complexity, Brownian motion}

Keywords: quantum complexity, Brownian motion
Collection: 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022)
Issue Date: 2022
Date of publication: 09.03.2022

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