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

TL;DR

This paper explores a novel quantum stochastic gradient descent method in the continuous-time limit, utilizing the Wigner formulation to connect classical and quantum probabilistic algorithms for open quantum systems.

Contribution

It introduces a quantum analog of stochastic gradient descent based on the Wigner formulation, bridging classical and quantum optimization techniques.

Findings

Proposes a continuous-time quantum SGD framework.

Establishes the Wigner formulation as a link between classical and quantum algorithms.

Lays groundwork for quantum optimization in open quantum systems.

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.