activity
20162026
most citedGeneral probabilistic theories: An introduction

91 citations · 242 across the 16 of their papers we have counts for

collaborators

17 papers

quant-ph2026

Operational theory for photonic circuits: generalizing linear optics beyond quantum theory

Ismaël Septembre, Matthias Kleinmann, Martin Plávala

We use the analogy between the quadrature operators in quantum optics and the phase-space coordinates in a mechanical harmonic oscillator to generalise the theory of linear optics…

quant-ph2024★ 5 cited

All incompatible measurements on qubits lead to multiparticle Bell nonlocality

Martin Plávala, Otfried Gühne, Marco Túlio Quintino

Bell nonlocality is a fundamental phenomenon of quantum physics as well as an essential resource for various tasks in quantum information processing. It is known that for the obser…

econ.GN2024

Entangled vs. Separable Choice

Nail Kashaev, Martin Plávala, Victor H. Aguiar

A judge observes the joint probabilistic choice rule of two decision makers: the frequency of action pairs across pairs of local covariates. The rule is separable if behavior can b…

quant-ph2024★ 2 cited

Newton's laws of motion generating gravity-mediated entanglement

Marta Maria Marchese, Martin Plávala, Matthias Kleinmann +1

The interface between quantum theory and gravity represents still uncharted territory. Recently, some works suggested promising alternative approaches aimed at witnessing quantum f…

quant-ph2023

Encoding and decoding of information in general probabilistic theories

Teiko Heinosaari, Leevi Leppäjärvi, Martin Plávala

Encoding and decoding are the two key steps in information processing. In this work we study the encoding and decoding capabilities of operational theories in the context of inform…

quant-ph2023★ 15 cited

Simple Information Processing Tasks with Unbounded Quantum Advantage

Teiko Heinosaari, Oskari Kerppo, Leevi Leppäjärvi +1

Communication scenarios between two parties can be implemented by first encoding messages into some states of a physical system which acts as the physical medium of the communicati…

quant-ph2023

Semi-device-independent certification of number of measurements

Isadora Veeren, Martin Plávala, Leevi Leppäjärvi +1

We develop a method for semi-device-independent certification of number of measurements. We achieve this by testing whether Bob's steering equivalent observables (SEO) can be simul…

quant-ph2023★ 1 cited

Symmetries and Wigner representations of operational theories

Ties-A. Ohst, Martin Plávala

We develop the theory of Wigner representations for general probabilistic theories (GPTs), a large class of operational theories that include both classical and quantum theory. The…

econ.TH2023

Dynamic and Stochastic Rational Behavior

Nail Kashaev, Victor H. Aguiar, Martin Plávala +1

The (static) utility maximization model of Afriat (1967), which is the standard in analysing choice behavior, is under scrutiny. We propose the Dynamic Random Utility Model (DRUM)…

quant-ph2022★ 6 cited

Generalized dynamical theories in phase space and the hydrogen atom

Martin Plávala, Matthias Kleinmann

We show that the phase-space formulation of general probabilistic theories can be extended to include a generalized time-evolution and that it can describe a nonquantum hydrogen-li…

quant-ph2022★ 4 cited

Monogamy of entanglement between cones

Guillaume Aubrun, Alexander Müller-Hermes, Martin Plávala

A separable quantum state shared between parties and can be symmetrically extended to a quantum state shared between party and parties for every $k\in…

quant-ph2021★ 91 cited

General probabilistic theories: An introduction

Martin Plávala

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 quantu…

quant-ph2017★ 9 cited

Popescu-Rohrlich box implementation in general probabilistic theory of processes

Martin Plávala, Mário Ziman

It is shown that Popescu-Rohrlich nonlocal boxes (beating the Tsirelson bound for Bell inequality) do exist in the existing structures of both quantum and classical theory. In part…

quant-ph2017★ 17 cited

Conditions for the compatibility of channels in general probabilistic theory and their connection to steering and Bell nonlocality

Martin Plávala

We derive general conditions for the compatibility of channels in general probabilistic theory. We introduce formalism that allows us to easily formulate steering by channels and B…

quant-ph2017★ 33 cited

Conditions on the existence of maximally incompatible two-outcome measurements in General Probabilistic Theory

Anna Jenčová, Martin Plávala

We formulate the necessary and sufficient conditions for the existence of a pair of maximally incompatible two-outcome measurements in a finite dimensional General Probabilistic Th…

quant-ph2016★ 41 cited

All measurements in a probabilistic theory are compatible if and only if the state space is a simplex

Martin Plávala

We study the compatibility of measurements on finite-dimensional compact convex state space in the framework of general probabilistic theory. Our main emphasis is on formulation of…

quant-ph2016★ 18 cited

Conditions for optimal input states for discrimination of quantum channels

Anna Jenčová, Martin Plávala

We find optimality conditions for testers in discrimination of quantum channels. These conditions are obtained using semidefinite programming and are similar to optimality conditio…