General probabilistic theories: An introduction

M Plávala - Physics Reports, 2023 - Elsevier
We introduce the framework of general probabilistic theories (GPTs for short). GPTs are a
class of operational theories that generalize both finite-dimensional classical and quantum …

Contextuality and inductive bias in quantum machine learning

J Bowles, VJ Wright, M Farkas, N Killoran… - arXiv preprint arXiv …, 2023 - arxiv.org
Generalisation in machine learning often relies on the ability to encode structures present in
data into an inductive bias of the model class. To understand the power of quantum machine …

Linear program for testing nonclassicality and an open-source implementation

JH Selby, E Wolfe, D Schmid, AB Sainz, VP Rossi - Physical Review Letters, 2024 - APS
A well-motivated method for demonstrating that an experiment resists any classical
explanation is to show that its statistics violate generalized noncontextuality. We here …

No-broadcasting characterizes operational contextuality

P Jokinen, M Weilenmann, M Plávala, JP Pellonpää… - Physical Review Letters, 2024 - APS
Operational contextuality forms a rapidly developing subfield of quantum information theory.
However, the characterization of the quantum mechanical entities that fuel the phenomenon …

Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality

JH Selby, D Schmid, E Wolfe, AB Sainz, R Kunjwal… - Physical Review A, 2023 - APS
The formalism of generalized probabilistic theories (GPTs) was originally developed as a
way to characterize the landscape of conceivable physical theories. Thus, the GPT …

Contextuality as a Precondition for Quantum Entanglement

M Plávala, O Gühne - Physical Review Letters, 2024 - APS
Quantum theory features several phenomena which can be considered as resources for
information processing tasks. Some of these effects, such as entanglement, arise in a …

Generalized dynamical theories in phase space and the hydrogen atom

M Plávala, M Kleinmann - Physical Review A, 2023 - APS
We show that the phase-space formulation of general probabilistic theories can be extended
to include a generalized time evolution and that it can describe a nonquantum hydrogenlike …

An open-source linear program for testing nonclassicality

JH Selby, E Wolfe, D Schmid, AB Sainz - arXiv preprint arXiv:2204.11905, 2022 - arxiv.org
The gold standard for demonstrating that an experiment resists any classical explanation is
to show that its statistics violate generalized noncontextuality. We here provide an open …

Shadows and subsystems of generalized probabilistic theories: when tomographic incompleteness is not a loophole for contextuality proofs

D Schmid, JH Selby, VP Rossi, RD Baldijão… - arXiv preprint arXiv …, 2024 - arxiv.org
It is commonly believed that failures of tomographic completeness undermine assessments
of nonclassicality in noncontextuality experiments. In this work, we study how such failures …

System loophole of generalized noncontextuality

V Gitton, MP Woods - Physical Review Research, 2024 - APS
Generalized noncontextuality is a well-studied notion of classicality that is applicable to a
single system, as opposed to Bell locality. It relies on representing operationally …