Inequalities witnessing coherence, nonlocality, and contextuality
Quantum coherence, nonlocality, and contextuality are key resources for quantum
advantage in metrology, communication, and computation. We introduce a graph-based …
advantage in metrology, communication, and computation. We introduce a graph-based …
Combining contextuality and causality: a game semantics approach
S Abramsky, RS Barbosa… - … Transactions of the …, 2024 - royalsocietypublishing.org
We develop an approach to combining contextuality with causality, which is general enough
to cover causal background structure, adaptive measurement-based quantum computation …
to cover causal background structure, adaptive measurement-based quantum computation …
Neither contextuality nor nonlocality admits catalysts
M Karvonen - Physical Review Letters, 2021 - APS
We show that the resource theory of contextuality does not admit catalysts, ie, there are no
correlations that can enable an otherwise impossible resource conversion and still be …
correlations that can enable an otherwise impossible resource conversion and still be …
Simplicial quantum contextuality
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. Our …
models of topological spaces that play a prominent role in modern homotopy theory. Our …
A bundle perspective on contextuality: Empirical models and simplicial distributions on bundle scenarios
RS Barbosa, A Kharoof, C Okay - arXiv preprint arXiv:2308.06336, 2023 - arxiv.org
This paper provides a bundle perspective to contextuality by introducing new categories of
contextuality scenarios based on bundles of simplicial complexes and simplicial sets. The …
contextuality scenarios based on bundles of simplicial complexes and simplicial sets. The …
Comparing two cohomological obstructions for contextuality, and a generalised construction of quantum advantage with shallow circuits
S Aasnæss - arXiv preprint arXiv:2212.09382, 2022 - arxiv.org
We present two results on the subject of quantum contextuality and cohomology, and non-
locality and quantum advantage with shallow circuits. Abramsky et al. showed that a range …
locality and quantum advantage with shallow circuits. Abramsky et al. showed that a range …
Convexity of noncontextual wirings and how they order the set of correlations
The resource theory of contextuality considers resourceful objects to be probabilistic data
tables, known as correlations or behaviors, that fail to have an explanation in terms of …
tables, known as correlations or behaviors, that fail to have an explanation in terms of …
Extended Wigner's friend paradoxes do not require nonlocal correlations
Extended Wigner's friend no-go theorems provide a modern lens for investigating the
measurement problem, by making precise the challenges that arise when one attempts to …
measurement problem, by making precise the challenges that arise when one attempts to …
Lifting noncontextuality inequalities
Kochen–Specker contextuality is a fundamental feature of quantum mechanics and a crucial
resource for quantum computational advantage and reduction of communication complexity …
resource for quantum computational advantage and reduction of communication complexity …
Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios
We employ the resource theory of generalized contextuality as a tool for analyzing the
structure of prepare-and-measure scenarios. We argue that this framework simplifies proofs …
structure of prepare-and-measure scenarios. We argue that this framework simplifies proofs …