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 …

A no-go theorem on the nature of the gravitational field beyond quantum theory

TD Galley, F Giacomini, JH Selby - Quantum, 2022 - quantum-journal.org
Recently, table-top experiments involving massive quantum systems have been proposed to
test the interface of quantum theory and gravity. In particular, the crucial point of the debate …

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 …

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 …

Dense coding with locality restriction on decoders: Quantum encoders versus superquantum encoders

M Hayashi, K Wang - Prx Quantum, 2022 - APS
We investigate practical dense coding by imposing locality restrictions on decoders and
symmetry restrictions on encoders within the resource theory of asymmetry framework. In …

Quantum contextual advantage depending on nonzero prior probabilities in state discrimination of mixed qubit states

J Shin, D Ha, Y Kwon - Entropy, 2021 - mdpi.com
Recently, Schmid and Spekkens studied the quantum contextuality in terms of state
discrimination. By dealing with the minimum error discrimination of two quantum states with …

Simple proof of the impossibility of bit commitment in generalized probabilistic theories using cone programming

J Sikora, J Selby - Physical review A, 2018 - APS
Bit commitment is a fundamental cryptographic task, in which Alice commits a bit to Bob such
that she cannot later change the value of the bit, while, simultaneously, the bit is hidden from …

Constraining the state space in any physical theory with the principle of information symmetry

M Banik, S Saha, T Guha, S Agrawal, SS Bhattacharya… - Physical Review A, 2019 - APS
Symmetry shares an entwined history with the structure of physical theory. We propose a
consequence of symmetry towards the axiomatic derivation of Hilbert space quantum theory …