Generalization in quantum machine learning from few training data

Matthias C Caro , Hsin-Yuan Huang , Marco Cerezo , Kunal Sharma
Nature communications 13 ( 1) 4919

50
2022
Encoding-dependent generalization bounds for parametrized quantum circuits

Matthias C Caro , Elies Gil-Fuster , Johannes Jakob Meyer , Jens Eisert
Quantum 5 582 -582

95
2021
Online learning of quantum processes

Asad Raza , Matthias C Caro , Jens Eisert , Sumeet Khatri
arXiv preprint arXiv:2406.04250

2024
The power and limitations of learning quantum dynamics incoherently

Sofiene Jerbi , Joe Gibbs , Manuel S Rudolph , Matthias C Caro
arXiv preprint arXiv:2303.12834

12
2023
Out-of-distribution generalization for learning quantum dynamics

Matthias C Caro , Hsin-Yuan Huang , Nicholas Ezzell , Joe Gibbs
Nature Communications 14 ( 1) 3751 -3751

57
2023
Dynamical simulation via quantum machine learning with provable generalization

Joe Gibbs , Zoë Holmes , Matthias C Caro , Nicholas Ezzell
Physical Review Research 6 ( 1) 013241 -013241

25
2024
Dissipation-enabled bosonic Hamiltonian learning via new information-propagation bounds

Tim Möbus , Andreas Bluhm , Matthias C Caro , Albert H Werner
arXiv preprint arXiv:2307.15026

4
2023
Learning quantum processes and Hamiltonians via the Pauli transfer matrix

Matthias C Caro
arXiv preprint arXiv:2212.04471

27
2022
Learning quantum states and unitaries of bounded gate complexity

Haimeng Zhao , Laura Lewis , Ishaan Kannan , Yihui Quek
arXiv preprint arXiv:2310.19882

9
2023
Classical Verification of Quantum Learning

Matthias C Caro , Marcel Hinsche , Marios Ioannou , Alexander Nietner
arXiv preprint arXiv:2306.04843

8
2023
From undecidability of non-triviality and finiteness to undecidability of learnability

Matthias C Caro
International Journal of Approximate Reasoning 163 109057 -109057

4
2023
Quantum and classical dynamical semigroups of superchannels and semicausal channels

Markus Hasenöhrl , Matthias C Caro
Journal of Mathematical Physics 63 ( 7)

4
2022
Hamiltonian Property Testing

Andreas Bluhm , Matthias C Caro , Aadil Oufkir
arXiv preprint arXiv:2403.02968

1
2024
On the generators of quantum dynamical semigroups with invariant subalgebras

Markus Hasenöhrl , Matthias C Caro
Open Systems & Information Dynamics 30 ( 01) 2350001 -2350001

1
2023
Quantum Learning Theory

Matthias C Caro
Technische Universität München

1
2022
Information-Theoretic Generalization Bounds for Learning From Quantum Data

Matthias Caro , Tom Gur , Cambyse Rouzé , Daniel Stilck França
COLT 2024 (37th Annual Conference on Learning Theory)

2
2024
Necessary criteria for Markovian divisibility of linear maps

Matthias C. Caro , Benedikt R. Graswald
Journal of Mathematical Physics 62 ( 4) 042203

2021
Binary classification with classical instances and quantum labels

Matthias C. Caro
Quantum Machine Intelligence 3 ( 1) 1 -24

2021
Pseudo-dimension of quantum circuits

Matthias C. Caro , Ishaun Datta
Quantum Machine Intelligence 2 ( 2) 1 -14

4
2020
Quantum learning Boolean linear functions w.r.t. product distributions

Matthias C. Caro
Quantum Information Processing 19 ( 6) 1 -41

2
2020