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 …

An invitation to quantum incompatibility

T Heinosaari, T Miyadera, M Ziman - Journal of Physics A …, 2016 - iopscience.iop.org
In the context of a physical theory, two devices, A and B, described by the theory are called
incompatible if the theory does not allow the existence of a third device C that would have …

The uncertainty relations in quantum mechanics

D Sen - Current Science, 2014 - JSTOR
The notion of uncertainty in the description of a physical system has assumed prodigious
importance in the development of quantum theory. Overcoming the early misunderstanding …

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 …

Incompatibility robustness of quantum measurements: a unified framework

S Designolle, M Farkas, J Kaniewski - New Journal of Physics, 2019 - iopscience.iop.org
In quantum mechanics performing a measurement is an invasive process which generally
disturbs the system. Due to this phenomenon, there exist incompatible quantum …

Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers

S Gupta, AG Maity, D Das, A Roy, AS Majumdar - Physical Review A, 2021 - APS
We investigate the possibility of multiple uses of a single copy of a three-qubit state for
detecting genuine tripartite Einstein-Podolsky-Rosen (EPR) steering. A pure three-qubit …

Detection of genuine tripartite entanglement by multiple sequential observers

AG Maity, D Das, A Ghosal, A Roy, AS Majumdar - Physical Review A, 2020 - APS
We explore the possibility of multiple usage of a single genuine entangled state by
considering a scenario consisting of three spin-1 2 particles shared between Alice, Bob, and …

Non-classical correlations in quantum mechanics and beyond

L Lami - arXiv preprint arXiv:1803.02902, 2018 - arxiv.org
Is entanglement an exclusive feature of quantum systems, or is it common to all non-
classical theories? And if this is the case, how strong is quantum mechanical entanglement …

Measuring incompatibility and clustering quantum observables with a quantum switch

N Gao, D Li, A Mishra, J Yan, K Simonov… - Physical Review Letters, 2023 - APS
The existence of incompatible observables is a cornerstone of quantum mechanics and a
valuable resource in quantum technologies. Here we introduce a measure of incompatibility …

Noise robustness of the incompatibility of quantum measurements

T Heinosaari, J Kiukas, D Reitzner - Physical Review A, 2015 - APS
The existence of incompatible measurements is a fundamental phenomenon having no
explanation in classical physics. Intuitively, one considers given measurements to be …