Inequalities witnessing coherence, nonlocality, and contextuality

R Wagner, RS Barbosa, EF Galvão - Physical Review A, 2024 - APS
Quantum coherence, nonlocality, and contextuality are key resources for quantum
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 …

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 …

Simplicial quantum contextuality

C Okay, A Kharoof, S Ipek - arXiv preprint arXiv:2204.06648, 2022 - arxiv.org
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 …

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 …

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 …

Convexity of noncontextual wirings and how they order the set of correlations

T Santos, R Wagner, B Amaral - Physical Review A, 2024 - APS
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 …

Extended Wigner's friend paradoxes do not require nonlocal correlations

L Walleghem, R Wagner, Y Yīng, D Schmid - arXiv preprint arXiv …, 2023 - arxiv.org
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 …

Lifting noncontextuality inequalities

R Choudhary, RS Barbosa, A Cabello - Physical Review A, 2024 - APS
Kochen–Specker contextuality is a fundamental feature of quantum mechanics and a crucial
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

R Wagner, RD Baldijão, A Tezzin… - Journal of Physics A …, 2023 - iopscience.iop.org
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 …