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 …
class of operational theories that generalize both finite-dimensional classical and quantum …
Entanglement and superposition are equivalent concepts in any physical theory
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 …
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
The formalism of generalized probabilistic theories (GPTs) was originally developed as a
way to characterize the landscape of conceivable physical theories. Thus, the GPT …
way to characterize the landscape of conceivable physical theories. Thus, the GPT …
Framework for resource quantification in infinite-dimensional general probabilistic theories
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 …
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 …
probabilistic theories (GPTs) and a sketch of a reconstruction of quantum theory (QT) from …
Postselected quantum hypothesis testing
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 …
measurement outcome is added, allowing one to abstain from attempting to discriminate the …
Incompatibility in general probabilistic theories, generalized spectrahedra, and tensor norms
In this work, we investigate measurement incompatibility in general probabilistic theories
(GPTs). We show several equivalent characterizations of compatible measurements. The …
(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 …
compression of another operator which is in some sense well behaved. For example, every …
Detecting beyond-quantum nonlocality using standard local quantum observables
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 …
model whose local systems are standard quantum theory in the framework of general …
Timelike correlations and quantum tensor product structure
The state-space structure for a composite quantum system is postulated among several
mathematically consistent possibilities that are compatible with a local quantum description …
mathematically consistent possibilities that are compatible with a local quantum description …