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

This project is related to the development of quantum algorithms for stochastic gradient descent. These algorithms will be based on the Wigner formulation of quantum mechanics, specifically related to open quantum systems, and with a quantum version of a stochastic equation as the continuous limit of a stochastic iteration. Thus, utilizing the Wigner-Fokker-Planck equation for quantum transport as the fundamental model under Markovian noise. By using previous estimates by Sparber et al., we study the dependance of the exponential convergence rate as a function of the problem dimensionality for the benchmark case of a harmonic potential. 

Please report video problems to itsupport@slmath.org.

See more of our Streaming videos on our main VMath Videos page.