Quantum collocation framework for 1D linear and nonlinear BVPs that uses a residual-threshold oracle on joint spatial-parameter registers to produce coherent superposition of spatially conditioned amplitude amplification with poly-log gate complexity.
Childs, Robin Kothari, and Rolando D
2 Pith papers cite this work. Polarity classification is still indexing.
fields
quant-ph 2years
2026 2representative citing papers
A hybrid quantum-classical pipeline pairs signature kernel feature layers with QCNNs for binary MNIST digit classification, finding modest accuracy gains for some ansatzes but VQLS-based kernel computation is infeasible beyond 5-6 time steps.
citing papers explorer
-
A Quantum Collocation Approach to One-Dimensional Boundary Value Problems with Coherent Amplitude Amplification
Quantum collocation framework for 1D linear and nonlinear BVPs that uses a residual-threshold oracle on joint spatial-parameter registers to produce coherent superposition of spatially conditioned amplitude amplification with poly-log gate complexity.
-
QCNN with Rough Path Signature Kernels
A hybrid quantum-classical pipeline pairs signature kernel feature layers with QCNNs for binary MNIST digit classification, finding modest accuracy gains for some ansatzes but VQLS-based kernel computation is infeasible beyond 5-6 time steps.