Block-Wise Variational Quantum Algorithms for PDEs with Interface Penalty Constraints

arXiv:2609.36710 · quant-ph · Submitted 2026-09-29 · Read on arXiv

quant-ph

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Hysteresis — 13× in this paper · explained in 3 episodes
• Trace — 11× in this paper · explained in 2 episodes
• Accuracy — 8× in this paper · explained in 1 episode
• Discontinuous Galerkin — 7× in this paper
• PDE residual — 4× in this paper · explained in 2 episodes
• Quantum Circuits — 4× in this paper · explained in 2 episodes
• Ablation — 3× in this paper · explained in 1 episode
• Adaptation — 2× in this paper · explained in 1 episode
• Loss Function — 2× in this paper · explained in 2 episodes
• Adaptive Solvers — 1× in this paper · explained in 1 episode
• Adaptivity — 1× in this paper · explained in 1 episode
• Calibration — 1× in this paper · explained in 7 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Error Decomposition — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Quantum Fourier Transform — 1× in this paper
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• A Quantum Approximate Optimization Algorithm
• Near-term quantum algorithms for linear systems of equations
• Creating superpositions that correspond to efficiently integrable probability distributions
• Linear-depth quantum circuits for loading Fourier approximations of arbitrary functions

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