Resource-theoretic hierarchy of contextuality for general probabilistic theories [PDF]
In this work we present a hierarchy of generalized contextuality. It refines the traditional binary distinction between contextual and noncontextual theories, and facilitates their comparison based on how contextual they are.
Lorenzo Catani +2 more
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Distinguishability, Ensemble Steering, and the No-Signaling Principle [PDF]
We consider a fundamental operational task, distinguishing systems in different states, in the framework of generalized probabilistic theories and provide a general formalism of minimum-error discrimination of states in convex optimization.
Joonwoo Bae
doaj +1 more source
Complex wave functions, CPT and quantum field theory for classical generalized Ising models
The quantum or quantum field theory concept of a complex wave function is useful for understanding the information transport in classical statistical generalized Ising models.
Christof Wetterich
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Higher-order interference and single-system postulates characterizing quantum theory
We present a new characterization of quantum theory in terms of simple physical principles that is different from previous ones in two important respects: first, it only refers to properties of single systems without any assumptions on the composition of
Howard Barnum +2 more
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Generalized Probabilistic Theories in a New Light [PDF]
Abstract In this paper we will present a modified formulation of generalized probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, and give the guidelines to how to extend this work to infinite dimensional Hilbert spaces.
openaire +4 more sources
Research Paper: The Effect of the Generalized Uncertainty Principle with Maximum Length on the Size of White Dwarfs [PDF]
The challenge in developing a theory of quantum gravity stems from the fundamentally different ways the two theories describe physical systems. Quantum mechanics operates on discrete, probabilistic principles, while general relativity is a continuous ...
Sajad Parsamehr
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A Shortcut from Categorical Quantum Theory to Convex Operational Theories [PDF]
This paper charts a very direct path between the categorical approach to quantum mechanics, due to Abramsky and Coecke, and the older convex-operational approach based on ordered vector spaces (recently reincarnated as "generalized probabilistic theories"
Alexander Wilce
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Obtaining tight bounds on higher-order interferences with a 5-path interferometer
Within the established theoretical framework of quantum mechanics, interference always occurs between pairs of paths through an interferometer. Higher order interferences with multiple constituents are excluded by Born’s rule and can only exist in ...
Thomas Kauten +5 more
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Modelling stem cell differentiation related processes—A practical overview for biologists
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
The signaling dimension in generalized probabilistic theories
The signaling dimension of a given physical system quantifies the minimum dimension of a classical system required to reproduce all input/output correlations of the given system. Thus, unlike other dimension measures - such as the dimension of the linear space or the maximum number of (jointly or pairwise) perfectly discriminable ...
Michele Dall'Arno +2 more
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