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Quantum Stochastic Gradient Descent in its continuous-time limit based on the Wigner formulation of Open Quantum Systems

Quantum Physics 2025-10-31 v1 Numerical Analysis Mathematical Physics math.MP Numerical Analysis Optimization and Control Computational Physics

Abstract

The main ideas behind a research plan to use the Wigner formulation as a bridge between classical and quantum probabilistic algorithms are presented, focusing on a particular case: the Quantum analog of Stochastic Gradient Descent in its continuous-time limit based on the Wigner formulation of Open Quantum Systems.

Keywords

Cite

@article{arxiv.2510.25910,
  title  = {Quantum Stochastic Gradient Descent in its continuous-time limit based on the Wigner formulation of Open Quantum Systems},
  author = {Jose A. Morales Escalante},
  journal= {arXiv preprint arXiv:2510.25910},
  year   = {2025}
}

Comments

28 page draft pre-print

R2 v1 2026-07-01T07:12:44.606Z