The paper proposes identifying quantum advantage with the existence of a polynomial-in-n upper bound on the minimal time to achieve operator controllability for bilinear quantum control systems on SU(N).
Choi , Beyond stoquasticity: Structural steering and interference in quantum optimization , arXiv preprint arXiv:2509.16263, (2025)
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Towards a Control interpretation of Quantum Advantage
The paper proposes identifying quantum advantage with the existence of a polynomial-in-n upper bound on the minimal time to achieve operator controllability for bilinear quantum control systems on SU(N).