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Researchers use generative modeling to solve quantum dynamics via score matching

Researchers have developed a novel method to solve the time-dependent Schrödinger equation by learning the score function on Bohmian trajectories. This approach utilizes a neural network to parametrize the score and minimizes a self-consistent Fisher divergence, effectively recasting real-time quantum dynamics as a score-driven normalizing flow. The framework has been demonstrated on wavepacket splitting and anharmonic vibrations, potentially integrating quantum mechanics with modern generative modeling tools. AI

IMPACT Integrates generative modeling techniques with quantum dynamics, potentially accelerating research in quantum physics.

RANK_REASON This is a research paper detailing a novel method for solving the time-dependent Schrödinger equation using score matching on Bohmian trajectories.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 3 sources. How we write summaries →

Researchers use generative modeling to solve quantum dynamics via score matching

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COVERAGE [3]

  1. arXiv cs.LG TIER_1 English(EN) · Lei Wang ·

    Quantum Dynamics via Score Matching on Bohmian Trajectories

    arXiv:2604.25137v1 Announce Type: cross Abstract: We solve the time-dependent Schr\"odinger equation by learning the score function, the gradient of the log-probability density, on Bohmian trajectories. In Bohm's formulation of quantum mechanics, particles follow deterministic pa…

  2. arXiv cs.LG TIER_1 English(EN) · Lei Wang ·

    Quantum Dynamics via Score Matching on Bohmian Trajectories

    We solve the time-dependent Schrödinger equation by learning the score function, the gradient of the log-probability density, on Bohmian trajectories. In Bohm's formulation of quantum mechanics, particles follow deterministic paths under the classical potential supplemented by a …

  3. Hugging Face Daily Papers TIER_1 English(EN) ·

    Quantum Dynamics via Score Matching on Bohmian Trajectories

    We solve the time-dependent Schrödinger equation by learning the score function, the gradient of the log-probability density, on Bohmian trajectories. In Bohm's formulation of quantum mechanics, particles follow deterministic paths under the classical potential supplemented by a …