Quantum versus classical learnability

RA Servedio, SJ Gortler - Proceedings 16th Annual IEEE …, 2001 - ieeexplore.ieee.org
… exists between efficient quantum learnability and efficient clasical learnability. Undcr a widely
held … -time learnable in the quantum version but not in the classical version of the model. …

Equivalences and separations between quantum and classical learnability

RA Servedio, SJ Gortler - SIAM Journal on Computing, 2004 - SIAM
… learning algorithm must have a polynomial-time classicalquantum learnability and efficient
classical learnability. Under a widely held computational hardness assumption for classical

[HTML][HTML] On the quantum versus classical learnability of discrete distributions

R Sweke, JP Seifert, D Hangleiter, J Eisert - Quantum, 2021 - quantum-journal.org
… Here we study the comparative power of classical and quantum learners for … learnable
by a classical generative modelling algorithm, but for which we construct an efficient quantum

The learnability of quantum states

S Aaronson - Proceedings of the Royal Society A …, 2007 - royalsocietypublishing.org
… Intuitively, this result means that anything we can do with quantum advice, we can also do
with classical advice, provided we are willing to use exponentially more computation time to …

Learnability and complexity of quantum samples

MY Niu, AM Dai, L Li, A Odena, Z Zhao… - arXiv preprint arXiv …, 2020 - arxiv.org
… of the underlying probability distribution, and evaluate the corresponding learnability of
the associated samples. We perform such test with both quantum and classical samples. For …

Learnability of quantum neural networks

Y Du, MH Hsieh, T Liu, S You, D Tao - PRX quantum, 2021 - APS
… Our work provides theoretical guidance for developing advanced QNNs and opens up
avenues for exploring quantum advantages beyond hybrid quantum-classical learning protocols …

A condition under which classical simulability implies efficient state learnability

M Yoganathan - arXiv preprint arXiv:1907.08163, 2019 - arxiv.org
… This theorem shows that every set of quantum states C is PAC learnable with respect to
measurements M (distributed according to D) with only a linear in n number of data points. To …

Learnability of a hybrid quantum-classical neural network for graph-structured quantum data

YY Liang, SL Tang, ZH Yi, HZ Si-Tu… - arXiv preprint arXiv …, 2024 - arxiv.org
… In this paper, we mainly test the learnability of a hybrid quantum-classical neural network
for graph-structured quantum data. The model and training algorithm of this process are …

Separating quantum and classical learning

RA Servedio - International Colloquium on Automata, Languages …, 2001 - Springer
… We say that a concept class C is polynomial-time learnable from quantum membership …
we construct in Section 5 is learnable in poly(n) time by a quantum algorithm. Recall that in our …

Quantum machine learning: a classical perspective

C Ciliberto, M Herbster, AD Ialongo… - … of the Royal …, 2018 - royalsocietypublishing.org
… provable separation between classical and quantum learnability. This implies that hard
classical problems might benefit significantly from the adoption of quantum-based computational …