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 …

Entanglement and superposition are equivalent concepts in any physical theory

G Aubrun, L Lami, C Palazuelos, M Plávala - Physical Review Letters, 2022 - APS
We prove that given any two general probabilistic theories (GPTs) the following are
equivalent:(i) each theory is nonclassical, meaning that neither of their state spaces is a …

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 …

Framework for resource quantification in infinite-dimensional general probabilistic theories

L Lami, B Regula, R Takagi, G Ferrari - Physical Review A, 2021 - APS
Resource theories provide a general framework for the characterization of properties of
physical systems in quantum mechanics and beyond. Here we introduce methods for the …

Probabilistic theories and reconstructions of quantum theory

M Müller - SciPost Physics Lecture Notes, 2021 - scipost.org
These lecture notes provide a basic introduction to the framework of generalized
probabilistic theories (GPTs) and a sketch of a reconstruction of quantum theory (QT) from …

Postselected quantum hypothesis testing

B Regula, L Lami, MM Wilde - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
We study a variant of quantum hypothesis testing wherein an additional 'inconclusive'
measurement outcome is added, allowing one to abstain from attempting to discriminate the …

Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms

A Bluhm, A Jenčová, I Nechita - Communications in Mathematical Physics, 2022 - Springer
In this work, we investigate measurement incompatibility in general probabilistic theories
(GPTs). We show several equivalent characterizations of compatible measurements. The …

Dilation theory: a guided tour

OM Shalit - Operator theory, functional analysis and applications, 2021 - Springer
Dilation theory is a paradigm for studying operators by way of exhibiting an operator as a
compression of another operator which is in some sense well behaved. For example, every …

Detecting beyond-quantum nonlocality using standard local quantum observables

H Arai, B Yu, M Hayashi - Physical Review A, 2024 - APS
We study the detection of beyond-quantum nonlocal states that can exist in a theoretical
model whose local systems are standard quantum theory in the framework of general …

Timelike correlations and quantum tensor product structure

S Sen, EP Lobo, RK Patra, SG Naik, A Das Bhowmik… - Physical Review A, 2022 - APS
The state-space structure for a composite quantum system is postulated among several
mathematically consistent possibilities that are compatible with a local quantum description …