DROPS

Document

DOI: 10.4230/LIPIcs.ITCS.2025.76

A Quantum Unique Games Conjecture

Authors: Hamoon Mousavi and Taro Spirig

Published in: LIPIcs, Volume 325, 16th Innovations in Theoretical Computer Science Conference (ITCS 2025)

Abstract

After the NP-hardness of computational problems such as 3SAT and MaxCut was established, a natural next step was to explore whether these problems remain hard to approximate. While the quantum nonlocal games extensions of some of these problems are known to be hard - indeed undecidable - their inapproximability remains largely unresolved. In this work, we introduce definitions for the quantum extensions of Label-Cover and Unique-Label-Cover. We show that these problems play a similarly crucial role in studying the inapproximability of quantum constraint satisfaction problems as they do in the classical setting.

Cite as

Hamoon Mousavi and Taro Spirig. A Quantum Unique Games Conjecture. In 16th Innovations in Theoretical Computer Science Conference (ITCS 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 325, pp. 76:1-76:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

Copy BibTex To Clipboard

@InProceedings{mousavi_et_al:LIPIcs.ITCS.2025.76,
  author =	{Mousavi, Hamoon and Spirig, Taro},
  title =	{{A Quantum Unique Games Conjecture}},
  booktitle =	{16th Innovations in Theoretical Computer Science Conference (ITCS 2025)},
  pages =	{76:1--76:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-361-4},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{325},
  editor =	{Meka, Raghu},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2025.76},
  URN =		{urn:nbn:de:0030-drops-227047},
  doi =		{10.4230/LIPIcs.ITCS.2025.76},
  annote =	{Keywords: hardness of approximation, quantum computing, noncommutative constraint satisfaction problems, Fourier analysis}
}

Search Results

Documents authored by Spirig, Taro

A Quantum Unique Games Conjecture

Abstract

Cite as

Thanks for your feedback!

Could not send message