Towards a minimal example of quantum nonlocality without inputs

S Boreiri, A Girardin, B Ulu, P Lipka-Bartosik… - Physical Review A, 2023 - APS
The network scenario offers interesting new perspectives on the phenomenon of quantum
nonlocality. Notably, when considering networks with independent sources, it is possible to …

Quantum singular value transformation & its algorithmic applications

A Gilyén - 2019 - eprints.illc.uva.nl
In this dissertation we study how efficiently quantum computers can solve various problems,
and how large speedups can be achieved compared to classical computers. In particular we …

Beyond the Lovász local lemma: Point to set correlations and their algorithmic applications

D Achlioptas, F Iliopoulos… - 2019 IEEE 60th Annual …, 2019 - ieeexplore.ieee.org
Following the groundbreaking algorithm of Moser and Tardos for the Lovasz Local Lemma
(LLL), there has been a plethora of results analyzing local search algorithms for various …

Counting hypergraph colourings in the local lemma regime

H Guo, C Liao, P Lu, C Zhang - Proceedings of the 50th Annual ACM …, 2018 - dl.acm.org
We give a fully polynomial-time approximation scheme (FPTAS) to count the number of q-
colorings for k-uniform hypergraphs with maximum degree Δ if k≥ 28 and q> 315Δ14/k− 14 …

Moser-Tardos Algorithm: Beyond Shearer's Bound

K He, Q Li, X Sun - Proceedings of the 2023 Annual ACM-SIAM …, 2023 - SIAM
In a seminal paper (Moser and Tardos, JACM'10), Moser and Tardos developed a simple
and powerful algorithm to find solutions to constraint satisfaction problems. Kolipaka and …

Borel Local Lemma: arbitrary random variables and limited exponential growth

A Bernshteyn, J Yu - arXiv preprint arXiv:2412.11571, 2024 - arxiv.org
The Lov\'asz Local Lemma (the LLL for short) is a powerful tool in probabilistic combinatorics
that is used to verify the existence of combinatorial objects with desirable properties. Recent …

Quantum Lovász local lemma: Shearer's bound is tight

K He, Q Li, X Sun, J Zhang - Proceedings of the 51st Annual ACM …, 2019 - dl.acm.org
Lovász Local Lemma (LLL) is a very powerful tool in combinatorics and probability theory to
show the possibility of avoiding all “bad” events under some “weakly dependent” condition …

[PDF][PDF] Constraint satisfaction problems: Probabilistic approach and applications to social choice theory

J Livieratos - 2020 - comsoc-community.org
In this Ph. D thesis, we work in one of the most well studied class of problems in Computer
Science, that of Constraint Satisfaction Problems (CSPs). In one of their usual formulations …

Directed Lovász local lemma and Shearer's lemma

L Kirousis, J Livieratos, KI Psaromiligkos - Annals of Mathematics and …, 2020 - Springer
Abstract Moser and Tardos (J. ACM (JACM) 57 (2), 11 2010) gave an algorithmic proof of the
lopsided Lovász local lemma (LLL) in the variable framework, where each of the …

[图书][B] Stochastic Local Search and the Lovasz Local Lemma

F Iliopoulos - 2019 - search.proquest.com
Stochastic Local Search and the Lovász Local Lemma By Fotios Iliopoulos A dissertation
submitted in partial satisfaction of the Page 1 Stochastic Local Search and the Lovász Local …