Search Results for author: Dominik Hangleiter

Found 5 papers, 1 papers with code

A single $T$-gate makes distribution learning hard

no code implementations7 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.

Quantum Machine Learning

Learnability of the output distributions of local quantum circuits

no code implementations11 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.

On the Quantum versus Classical Learnability of Discrete Distributions

no code implementations28 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.

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