A hybrid QACG solver uses quantum spectral initialization to split condition-number burden between quantum and classical parts, yielding runtime gains in identified regimes for the 3D Poisson equation.
Lemma 12(Iteration complexity of CG).Consider the Poisson problem in Definition 1 with the sparsity of Lemma 3 and the condition number of Lemma 2
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Quantum-accelerated conjugate gradient method via spectral initialization
A hybrid QACG solver uses quantum spectral initialization to split condition-number burden between quantum and classical parts, yielding runtime gains in identified regimes for the 3D Poisson equation.