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.
Harrow, Avinatan Hassidim, and Seth Lloyd
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
fields
quant-ph 4years
2026 4representative citing papers
A hybrid HHL quantum-classical Navier-Stokes solver with Chebyshev-QAE approximate state tomography reproduces lid-driven cavity and Taylor-Green vortex flows against classical methods.
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.
A quantum MatMul scheme built from parallel Hadamard tests plus an entropy-based shot-noise bound that fails under its own equations.
citing papers explorer
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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.
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An HHL-Based Quantum-Classical Solver for the Incompressible Navier-Stokes Equations with Approximate QST
A hybrid HHL quantum-classical Navier-Stokes solver with Chebyshev-QAE approximate state tomography reproduces lid-driven cavity and Taylor-Green vortex flows against classical methods.
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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.
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AQ-Stacker: An Adaptive Quantum Matrix Multiplication Algorithm with Scaling via Parallel Hadamard Stacking
A quantum MatMul scheme built from parallel Hadamard tests plus an entropy-based shot-noise bound that fails under its own equations.