Another Quantum Lov\'{a}sz Local Lemma

TL;DR

This paper introduces a quantum generalization of the Lovász Local Lemma within a new conceptual framework, expanding its applicability to quantum probability theory.

Contribution

It presents a novel quantum version of the Lovász Local Lemma and a corresponding conceptual framework, bridging combinatorics and quantum probability.

Findings

Established a quantum Lovász Local Lemma

Developed a new conceptual framework for quantum probability

Extended combinatorial probabilistic methods to quantum settings

Abstract

We define a natural conceptual framework in which a generalization of the Lov\'{a}sz Local Lemma can be established in quantum probability theory.