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).
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Numerical study of five symmetry-preserving HVAs for Z2 gauge theory finds overparametrization eliminates local minima and loss decay rate scales linearly with number of parameters.
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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).
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Symmetries and overparametrization properties of Hamiltonian variational ansatzes for the $(1+1)$d $\mathbb{Z}_2$ lattice gauge theory
Numerical study of five symmetry-preserving HVAs for Z2 gauge theory finds overparametrization eliminates local minima and loss decay rate scales linearly with number of parameters.