Variational quantum algorithms turn choices of Hamiltonian, ansatz, and parameterization into a classical nonconvex optimization problem. We study how this objective function can be visualized and characterized in ways that help explain optimizer behavior. We distinguish two properties of the objective: the number of l...
Vojtěch Novák, Ivan Zelinka, Silvie Illésová et al.· 0 citations
We study whether the coordinate dependence of the improved Self-Organizing Migrating Algorithm (iSOMA) can be reduced while retaining its inexpensive leader-directed migration mechanism. We introduce iSOMA-AR, which learns a basis from successful migration displacements and selectively applies the standard perturbation...
We benchmark classical optimization of a fixed low-depth Quantum Approximate Optimization Algorithm (QAOA) ansatz across four cost-Hamiltonian families at $N=12$, $p=3$, and $D=6$. Ten optimizers are compared over 25 independent runs under common ceilings of 10\,000 and 30\,000 function evaluations (FEs), first with ex...
Vojtěch Novák, Ivan Zelinka, Swagatam Das et al.· 0 citations
Variational quantum algorithms recast state preparation as classical nonconvex optimization, but it is often unclear when multistart local search suffices and when population-based global search justifies its evaluation cost. Using a landscape-first design, controlled QAOA experiments identify two mechanisms making loc...
We benchmark eight classical optimizers for exact-statevector VQE calculations on a controlled hierarchy of frustrated spin models, ranging from a diagonal Ising glass to transverse-field Ising and anisotropic Heisenberg models. The benchmark includes local, stochastic-gradient, evolutionary, covariance-adaptation, and...
Vojtěch Novák, Ivan Zelinka, Swagatam Das et al.· 3 citations
An operator--selection factorization that separates objective-independent variation from boundary repair and fitness-dependent selection is introduced, and it is used to study the proposal geometry of the Self-Organizing Migrating Algorithm and Differential Evolution.
Vojtěch Novák, Ivan Zelinka· arXiv.org· 0 citations
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