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 …

General resource theories in quantum mechanics and beyond: operational characterization via discrimination tasks

R Takagi, B Regula - Physical Review X, 2019 - APS
We establish an operational characterization of general convex resource theories—
describing the resource content of not only states but also measurements and channels …

Simulating all quantum measurements using only projective measurements and postselection

M Oszmaniec, FB Maciejewski, Z Puchała - Physical Review A, 2019 - APS
We report an alternative scheme for implementing generalized quantum measurements that
does not require the usage of an auxiliary system. Our method utilizes solely (a) classical …

No-free-information principle in general probabilistic theories

T Heinosaari, L Leppäjärvi, M Plávala - Quantum, 2019 - quantum-journal.org
In quantum theory, the no-information-without-disturbance and no-free-information theorems
express that those observables that do not disturb the measurement of another observable …

Compact convex structure of measurements and its applications to simulability, incompatibility, and convex resource theory of continuous-outcome measurements

Y Kuramochi - arXiv preprint arXiv:2002.03504, 2020 - arxiv.org
We introduce the post-processing preorder and equivalence relations for general
measurements on a possibly infinite-dimensional general probabilistic theory described by …

Random access test as an identifier of nonclassicality

T Heinosaari, L Leppäjärvi - Journal of Physics A: Mathematical …, 2022 - iopscience.iop.org
Random access codes (RACs) are an intriguing class of communication tasks that reveal an
operational and quantitative difference between classical and quantum information …

Postprocessing of quantum instruments

L Leppäjärvi, M Sedlák - Physical Review A, 2021 - APS
Studying sequential measurements is of the utmost importance to both the foundational
aspects of quantum theory and the practical implementations of quantum technologies, with …

Operational restrictions in general probabilistic theories

SN Filippov, S Gudder, T Heinosaari… - Foundations of …, 2020 - Springer
The formalism of general probabilistic theories provides a universal paradigm that is suitable
for describing various physical systems including classical and quantum ones as particular …

Communication tasks in operational theories

T Heinosaari, O Kerppo… - Journal of Physics A …, 2020 - iopscience.iop.org
We investigate the question which communication tasks can be accomplished within a given
operational theory. The concrete task is to find out which communication matrices have a …

Semi-device-independent certification of the number of measurements

I Veeren, M Plávala, L Leppäjärvi, R Uola - Physical Review A, 2024 - APS
We develop a method for semi-device-independent certification of the number of
measurements. We achieve this by testing whether Bob's steering equivalent observables …