Hybrid quantum PINN for hydrology reports 3x faster convergence and 44% fewer parameters than classical PINN on Sri Lankan flood data while using physics constraints for uncertainty quantification.
Cost function dependent barren plateaus in shallow parametrized quantum circuits,
4 Pith papers cite this work. Polarity classification is still indexing.
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Adaptive H-EFT-VA maintains gradient variance Omega(1/poly(N)) during safe Hilbert space expansion, doubling fidelity over static H-EFT-VA on benchmarks up to 14 qubits.
Physics-constrained variational quantum circuits maintain 25-47% higher fidelity than unconstrained ones at moderate noise, while zero-noise extrapolation cuts absolute error by 82-96% at low noise levels.
PDE-constrained loss functions in variational quantum circuits deliver polynomial gradient variance scaling and constraint-induced landscape narrowing to mitigate barren plateaus.
citing papers explorer
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Variational Quantum Physics-Informed Neural Networks for Hydrological PDE-Constrained Learning with Inherent Uncertainty Quantification
Hybrid quantum PINN for hydrology reports 3x faster convergence and 44% fewer parameters than classical PINN on Sri Lankan flood data while using physics constraints for uncertainty quantification.
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Adaptive H-EFT-VA: A Provably Safe Trajectory Through the Trainability-Expressibility Landscape of Variational Quantum Algorithms
Adaptive H-EFT-VA maintains gradient variance Omega(1/poly(N)) during safe Hilbert space expansion, doubling fidelity over static H-EFT-VA on benchmarks up to 14 qubits.
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Quantum Error Mitigation Strategies for Variational PDE-Constrained Circuits on Noisy Hardware
Physics-constrained variational quantum circuits maintain 25-47% higher fidelity than unconstrained ones at moderate noise, while zero-noise extrapolation cuts absolute error by 82-96% at low noise levels.
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Mitigating Barren Plateaus in Variational Quantum Circuits through PDE-Constrained Loss Functions
PDE-constrained loss functions in variational quantum circuits deliver polynomial gradient variance scaling and constraint-induced landscape narrowing to mitigate barren plateaus.