Kochen-specker contextuality
A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …
short, it states that quantum mechanics is in conflict with classical models in which the result …
The sheaf-theoretic structure of non-locality and contextuality
S Abramsky, A Brandenburger - New Journal of Physics, 2011 - iopscience.iop.org
We use the mathematical language of sheaf theory to give a unified treatment of non-locality
and contextuality, in a setting that generalizes the familiar probability tables used in non …
and contextuality, in a setting that generalizes the familiar probability tables used in non …
A combinatorial approach to nonlocality and contextuality
So far, most of the literature on (quantum) contextuality and the Kochen–Specker theorem
seems either to concern particular examples of contextuality, or be considered as quantum …
seems either to concern particular examples of contextuality, or be considered as quantum …
Contextuality, cohomology and paradox
Contextuality is a key feature of quantum mechanics that provides an important non-
classical resource for quantum information and computation. Abramsky and Brandenburger …
classical resource for quantum information and computation. Abramsky and Brandenburger …
Contextuality and Wigner negativity are equivalent for continuous-variable quantum measurements
Quantum computers promise considerable speedups with respect to their classical
counterparts. However, the identification of the innately quantum features that enable these …
counterparts. However, the identification of the innately quantum features that enable these …
[图书][B] On graph approaches to contextuality and their role in quantum theory
On Graph Approaches to Contextuality and their Role in Quantum Theory Page 1 123 SPRINGER
BRIEFS IN MATHEMATICS Barbara Amaral · Marcelo Terra Cunha On Graph Approaches to …
BRIEFS IN MATHEMATICS Barbara Amaral · Marcelo Terra Cunha On Graph Approaches to …
Contextuality as a resource for measurement-based quantum computation beyond qubits
M Frembs, S Roberts, SD Bartlett - New Journal of Physics, 2018 - iopscience.iop.org
Contextuality—the obstruction to describing quantum mechanics in a classical statistical way—
has been proposed as a resource that powers quantum computing. The measurement …
has been proposed as a resource that powers quantum computing. The measurement …
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 …
Topological proofs of contextuality in quantum mechanics
We provide a cohomological framework for contextuality of quantum mechanics that is suited
to describing contextuality as a resource in measurement-based quantum computation. This …
to describing contextuality as a resource in measurement-based quantum computation. This …
Cohomology in constraint satisfaction and structure isomorphism
AÓ Conghaile - arXiv preprint arXiv:2206.15253, 2022 - arxiv.org
Constraint satisfaction (CSP) and structure isomorphism (SI) are among the most well-
studied computational problems in Computer Science. While neither problem is thought to …
studied computational problems in Computer Science. While neither problem is thought to …