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 • 7 Jul 2022 • Marcel Hinsche, Marios Ioannou, Alexander Nietner, Jonas Haferkamp, Yihui Quek, Dominik Hangleiter, Jean-Pierre Seifert, Jens Eisert, Ryan Sweke
We first show that the generative modelling problem associated with depth $d=n^{\Omega(1)}$ local quantum circuits is hard for any learning algorithm, classical or quantum.
no code implementations • 11 Oct 2021 • Marcel Hinsche, Marios Ioannou, Alexander Nietner, Jonas Haferkamp, Yihui Quek, Dominik Hangleiter, Jean-Pierre Seifert, Jens Eisert, Ryan Sweke
As many practical generative modelling algorithms use statistical queries -- including those for training quantum circuit Born machines -- our result is broadly applicable and strongly limits the possibility of a meaningful quantum advantage for learning the output distributions of local quantum circuits.
no code implementations • 24 Feb 2021 • Abhinav Deshpande, Arthur Mehta, Trevor Vincent, Nicolas Quesada, Marcel Hinsche, Marios Ioannou, Lars Madsen, Jonathan Lavoie, Haoyu Qi, Jens Eisert, Dominik Hangleiter, Bill Fefferman, Ish Dhand
Theoretically, there is a comparative lack of rigorous evidence for the classical hardness of GBS.
Quantum Physics
no code implementations • 28 Jul 2020 • Ryan Sweke, Jean-Pierre Seifert, Dominik Hangleiter, Jens Eisert
Here we study the comparative power of classical and quantum learners for generative modelling within the Probably Approximately Correct (PAC) framework.