A deterministic polynomial chaos Galerkin method for non-Markovian quantum state diffusion

arXiv:2610.12070 · quant-ph · Submitted 2026-10-08 · Read on arXiv

quant-ph

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Accuracy — 10× in this paper · explained in 1 episode
• Trace — 5× in this paper · explained in 2 episodes
• Benchmark — 4× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Adaptive Selection — 1× in this paper · explained in 1 episode
• Diffusion Model — 1× in this paper · explained in 8 episodes
• Error Decomposition — 1× in this paper · explained in 3 episodes
• Hierarchical Framework — 1× in this paper · explained in 2 episodes
• Non-Markovian Dynamics — 1× in this paper · explained in 5 episodes

Sources

• A low-rank hierarchical framework for the non-Markovian stochastic Schr\"odinger equation with convergence analysis
• A General First- and Second-Order Numerical Solver for Non-Markovian Quantum State Diffusion

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