Core Concepts
This paper introduces "path coherence" as a measure of quantum coherence in a computational setting and demonstrates that a quantum circuit's classical simulatability is governed by its path coherence.
Thomas, H., Emeriau, P.-E., Kashefi, E., Ollivier, H., & Chabaud, U. (2024). On the role of coherence for quantum computational advantage. arXiv preprint arXiv:2410.07024v1.
This paper investigates the role of quantum coherence in establishing a computational advantage over classical computers. Specifically, it aims to quantify the amount of coherence required for a quantum computation to be hard to simulate classically.