Generalised probabilistic theories in a new light [PDF]
IET Quantum Communication, 2022 In this paper, a modified formulation of generalised probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, is presented and the guidelines to how to extend this work to ...
Raed Shaiia
doaj +5 more sources
Analysing causal structures in generalised probabilistic theories [PDF]
Quantum, 2020 Causal structures give us a way to understand the origin of observed correlations. These were developed for classical scenarios, but quantum mechanical experiments necessitate their generalisation.
Mirjam Weilenmann, Roger Colbeck
doaj +7 more sources
How to make unforgeable money in generalised probabilistic theories [PDF]
Quantum, 2018 We discuss the possibility of creating money that is physically impossible to counterfeit. Of course, "physically impossible" is dependent on the theory that is a faithful description of nature.
John H. Selby, Jamie Sikora
doaj +5 more sources
Can QBism exist without Q? Morphophoric measurements in generalised probabilistic theories [PDF]
QuantumIn a Generalised Probabilistic Theory (GPT) equipped additionally with some extra geometric structure we define the morphophoric measurements as those for which the measurement map sending states to distributions of the measurement results is a ...
Anna Szymusiak, Wojciech Słomczyński
doaj +7 more sources
Oracles and Query Lower Bounds in Generalised Probabilistic Theories. [PDF]
Found Phys, 2018 We investigate the connection between interference and computational power within the operationally defined framework of generalised probabilistic theories. To compare the computational abilities of different theories within this framework we show that any theory satisfying three natural physical principles possess a well-defined oracle model.
Barnum H, Lee CM, Selby JH.
europepmc +9 more sources
The Theory of Traces for Systems with Nondeterminism, Probability, and Termination [PDF]
Logical Methods in Computer Science, 2022 This paper studies trace-based equivalences for systems combining nondeterministic and probabilistic choices. We show how trace semantics for such processes can be recovered by instantiating a coalgebraic construction known as the generalised powerset ...
Filippo Bonchi +2 more
doaj +1 more source
Experimental entanglement of temporal order [PDF]
Quantum, 2022 The study of causal relations has recently been applied to the quantum realm, leading to the discovery that not all physical processes have a definite causal structure.
Giulia Rubino +6 more
doaj +1 more source
A no-go theorem on the nature of the gravitational field beyond quantum theory [PDF]
Quantum, 2022 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 is whether it is possible to conclude anything on the quantum nature ...
Thomas D. Galley +2 more
doaj +1 more source
The syntactic side of autonomous categories enriched over generalised metric spaces [PDF]
Logical Methods in Computer Science, 2023 Programs with a continuous state space or that interact with physical processes often require notions of equivalence going beyond the standard binary setting in which equivalence either holds or does not hold.
Fredrik Dahlqvist, Renato Neves
doaj +1 more source
Reconstructing quantum theory from diagrammatic postulates [PDF]
Quantum, 2021 A reconstruction of quantum theory refers to both a mathematical and a conceptual paradigm that allows one to derive the usual formulation of quantum theory from a set of primitive assumptions.
John H. Selby +2 more
doaj +1 more source