An Extended Epistemic Framework Beyond Probability for Quantum Information Processing with Applications in Security, Artificial Intelligence, and Financial Computing [PDF]
EntropyIn this work, we propose a novel quantum-informed epistemic framework that extends the classical notion of probability by integrating plausibility, credibility, and possibility as distinct yet complementary measures of uncertainty.
Gerardo Iovane
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Characterising and bounding the set of quantum behaviours in contextuality scenarios [PDF]
Quantum, 2021 The predictions of quantum theory resist generalised noncontextual explanations. In addition to the foundational relevance of this fact, the particular extent to which quantum theory violates noncontextuality limits available quantum advantage in ...
Anubhav Chaturvedi +2 more
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Noise-robust preparation contextuality shared between any number of observers via unsharp measurements [PDF]
Quantum, 2021 Multiple observers who independently harvest nonclassical correlations from a single physical system share the system's ability to enable quantum correlations.
Hammad Anwer +5 more
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Bounding and Simulating Contextual Correlations in Quantum Theory [PDF]
PRX Quantum, 2021 See also the related work arXiv:2010.05853. Code package SDP relaxations of quantum contextuality available at: https://github.com/alastair-abbott/contextuality-hierarchy.
Tavakoli, Armin +3 more
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Sum-of-squares decompositions for a family of noncontextuality inequalities and self-testing of quantum devices [PDF]
Quantum, 2020 Violation of a noncontextuality inequality or the phenomenon referred to `quantum contextuality' is a fundamental feature of quantum theory. In this article, we derive a novel family of noncontextuality inequalities along with their sum-of-squares ...
Debashis Saha +2 more
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Nashian game theory is incompatible with quantum contextuality
CoRR, 2021 In this work, we design a novel game-theoretical framework capable of capturing the defining aspects of quantum theory. We introduce an original model and an algorithmic procedure that enables to express measurement scenarios encountered in quantum mechanics as multiplayer games and to translate physical notions of causality, correlation, and ...
Michal Baczyk, Ghislain Fourny
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Simplicial quantum contextuality [PDF]
Quantum, 2023 We introduce a new framework for contextuality based on simplicial sets, combinatorial models of topological spaces that play a prominent role in modern homotopy theory.
Cihan Okay, Aziz Kharoof, Selman Ipek
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Hypergraph framework for irreducible noncontextuality inequalities from logical proofs of the Kochen-Specker theorem [PDF]
Quantum, 2020 Kochen-Specker (KS) theorem reveals the inconsistency between quantum theory and any putative underlying model of it satisfying the constraint of KS-noncontextuality.
Ravi Kunjwal
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A mathematical framework for operational fine tunings [PDF]
Quantum, 2023 In the framework of ontological models, the inherently nonclassical features of quantum theory always seem to involve properties that are fine tuned, i.e. properties that hold at the operational level but break at the ontological level.
Lorenzo Catani, Matthew Leifer
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Contextual Wavefunction collapse: an integrated theory of quantum measurement [PDF]
New Journal of Physics, 2018 This paper is an in depth implementation of the proposal that the quantum measurement issue can be resolved by carefully looking at top-down contextual effects within realistic measurement contexts. The specific setup of the measurement apparatus determines the possible events that can take place.
Drossel, Barbara, Ellis, George
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