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The Inductive Bias of Quantum Kernels
Jonas M. Kübler, Simon Buchholz, Bernhard Schölkopf
It has been hypothesized that quantum computers may lend themselves well to applications in machine learning. In the present work, we analyze function classes defined via quantum k…
An Adaptive Optimizer for Measurement-Frugal Variational Algorithms
Jonas M. Kübler, Andrew Arrasmith, Lukasz Cincio +1
Variational hybrid quantum-classical algorithms (VHQCAs) have the potential to be useful in the era of near-term quantum computing. However, recently there has been concern regardi…
Quantum Mean Embedding of Probability Distributions
Jonas M. Kübler, Krikamol Muandet, Bernhard Schölkopf
The kernel mean embedding of probability distributions is commonly used in machine learning as an injective mapping from distributions to functions in an infinite dimensional Hilbe…
Two-qubit causal structures and the geometry of positive qubit-maps
Jonas Kübler, Daniel Braun
We study quantum causal inference in a set-up proposed by Ried et al. [Nat. Phys. 11, 414 (2015)] in which a common-cause scenario can be mixed with a cause-effect scenario, and fo…