Has quantum advantage been achieved?

2026-03-10

AI Summary

Whether quantum advantage has been genuinely achieved remains a subject of debate. This work systematically reviews key experimental demonstrations and advances in computational complexity theory since 2019, arguing that quantum advantage has now been firmly established for specific computational tasks. We present the theoretical foundations and empirical evidence underpinning this claim. Building on this consensus, we propose a clear roadmap for future research, encompassing scalability verification, pathways toward practical applications, and exploration of novel computational models. Our aim is to foster broader agreement within the scientific community regarding the validation of quantum advantage and to guide its future trajectory.

Technology Category

• Machine Learning: Quantum Machine Learning
• Game Theory and Economic Paradigms: Adversarial Learning
• Knowledge Representation and Reasoning: Computational Complexity of Reasoning

Application Category

• Security and Privacy: Data transparency and provenance
• Search and Retrieval-Augmented AI: Web evaluation methodologies and metrics
• Economics, Online Markets and Human Computation: LLM based quality controls for crowd work

Abstract

Quantum computational advantage was claimed for the first time in 2019 and several experiments since then have reinforced the claim. And yet, there is no consensus whether or not quantum advantage has actually been achieved. In this article, I address this question and argue that, in fact, it has. I also outline next steps for theory and experiments in quantum advantage.

Problem

• quantum advantage
• quantum computational advantage
• consensus
• quantum experiments

Innovation

• quantum advantage
• quantum computational supremacy
• theoretical framework
• experimental validation
• future roadmap