On measures and measurements: a fibre bundle approach to contextuality

Cunha, Marcelo Terra

doi:10.1098/rsta.2019.0146

Cited by 3 publications

(1 citation statement)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Indeed, in Ref. [50], the author puts forward an entirely topological approach, based on the concept of probability fibre bundle, from which these mentioned results (among other ones) can be derived. Moreover, in Ref.…”

Section: (B))mentioning

confidence: 99%

On Quantum Possibilistic Paradoxes and Logical Contextuality

Santos¹

View full text Add to dashboard Cite

First of all I thank my family for everything; my uncle José, Elaine, Bruno, and Neuza (in memorian) for the comfortable hosting during part of this Master's; and my advisor, Prof. Bárbara Amaral, for accepting me into your group, guiding me through these two years, and for all contributions you have made in my academic life and beyond. I also thank all the professors I have had since the beginning of my undergrad studies, in particular I highlight Profs. Gabriel Landi, Márcio Bortoloti, Jorge Anderson, and Ivanor Nunes (in memorian). I thank the friends that Physics gave me, among which I highlight the "derivators": Emmanuel, Erison, and Pablo; Thiago and his cosmo-collegues; and also my group colleagues: Alisson, Ari, Daniel, Giulio, Gustavo, Marina, Rafael, Silvio, and Tiago. I also leave a thank to my non-academic friends, in particular: Shirley for the beers and chats, my crazy Colombian friend Karol for nothing (I only mentioned you because I like you), and Gabrielle for the long chats, English helps, and for all the ABBA songs we listen to. Finally, thanks to everyone who kept the correlations with me as strong as possible despite the space-like separation. A special ¬thank to COVID-19 (and its collaborators).

show abstract

Section: (B))mentioning

confidence: 99%

On Quantum Possibilistic Paradoxes and Logical Contextuality

Santos¹

View full text Add to dashboard Cite

show abstract

Synchronous Observation of Bell Nonlocality and State-Dependent Contextuality

et al. 2023

View full text Add to dashboard Cite

Simplicial quantum contextuality

Okay

Kharoof

Ipek

2023

Quantum

View full text Add to dashboard Cite

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 approach extends measurement scenarios to consist of spaces (rather than sets) of measurements and outcomes, and thereby generalizes nonsignaling distributions to simplicial distributions, which are distributions on spaces modeled by simplicial sets. Using this formalism we present a topologically inspired new proof of Fine's theorem for characterizing noncontextuality in Bell scenarios. Strong contextuality is generalized suitably for simplicial distributions, allowing us to define cohomological witnesses that extend the earlier topological constructions restricted to algebraic relations among quantum observables to the level of probability distributions. Foundational theorems of quantum theory such as the Gleason's theorem and Kochen--Specker theorem can be expressed naturally within this new language.

show abstract

On measures and measurements: a fibre bundle approach to contextuality

Cited by 3 publications

References 20 publications

On Quantum Possibilistic Paradoxes and Logical Contextuality

On Quantum Possibilistic Paradoxes and Logical Contextuality

Synchronous Observation of Bell Nonlocality and State-Dependent Contextuality

Simplicial quantum contextuality

Contact Info

Product

Resources

About