no code implementations • 13 Oct 2022 • Junyu Liu, Frederik Wilde, Antonio Anna Mele, Liang Jiang, Jens Eisert
Saddle points constitute a crucial challenge for first-order gradient descent algorithms.
1 code implementation • 28 Sep 2022 • Frederik Wilde, Augustine Kshetrimayum, Ingo Roth, Dominik Hangleiter, Ryan Sweke, Jens Eisert
The physics of a closed quantum mechanical system is governed by its Hamiltonian.
no code implementations • 2 Jun 2021 • Thomas Hubregtsen, Frederik Wilde, Shozab Qasim, Jens Eisert
A popular set of optimization methods work on the estimate of the gradient, obtained by means of circuit evaluations.
no code implementations • 2 Oct 2019 • Ryan Sweke, Frederik Wilde, Johannes Meyer, Maria Schuld, Paul K. Faehrmann, Barthélémy Meynard-Piganeau, Jens Eisert
We formalize this notion, which allows us to show that in many relevant cases, including VQE, QAOA and certain quantum classifiers, estimating expectation values with $k$ measurement outcomes results in optimization algorithms whose convergence properties can be rigorously well understood, for any value of $k$.