Kochen-specker contextuality

C Budroni, A Cabello, O Gühne, M Kleinmann… - Reviews of Modern …, 2022 - APS
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 …

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 …

Graph-theoretic approach to quantum correlations

A Cabello, S Severini, A Winter - Physical review letters, 2014 - APS
Correlations in Bell and noncontextuality inequalities can be expressed as a positive linear
combination of probabilities of events. Exclusive events can be represented as adjacent …

Single‐Particle Entanglement

S Azzini, S Mazzucchi, V Moretti… - Advanced Quantum …, 2020 - Wiley Online Library
This review is about single‐particle entanglement. Entanglement occurs when the state of a
quantum system with at least two degrees of freedom has a particular non‐separable form …

Experimental non-classicality of an indivisible quantum system

R Lapkiewicz, P Li, C Schaeff, NK Langford… - Nature, 2011 - nature.com
In contrast to classical physics, quantum theory demands that not all properties can be
simultaneously well defined; the Heisenberg uncertainty principle is a manifestation of this …

Violation of the Leggett–Garg inequality with weak measurements of photons

ME Goggin, MP Almeida, M Barbieri… - Proceedings of the …, 2011 - National Acad Sciences
By weakly measuring the polarization of a photon between two strong polarization
measurements, we experimentally investigate the correlation between the appearance of …

Do we really understand quantum mechanics? Strange correlations, paradoxes, and theorems

F Laloë - American Journal of Physics, 2001 - pubs.aip.org
This article presents a general discussion of several aspects of our present understanding of
quantum mechanics. The emphasis is put on the very special correlations that this theory …

Randomness in quantum mechanics: philosophy, physics and technology

MN Bera, A Acín, M Kuś, MW Mitchell… - Reports on progress …, 2017 - iopscience.iop.org
This progress report covers recent developments in the area of quantum randomness, which
is an extraordinarily interdisciplinary area that belongs not only to physics, but also to …

Quantum dynamics of simultaneously measured non-commuting observables

S Hacohen-Gourgy, LS Martin, E Flurin, VV Ramasesh… - Nature, 2016 - nature.com
In quantum mechanics, measurements cause wavefunction collapse that yields precise
outcomes, whereas for non-commuting observables such as position and momentum …

State-independent proof of Kochen-Specker theorem with 13 rays

S Yu, CH Oh - Physical review letters, 2012 - APS
Quantum contextuality, as proved by Kochen and Specker, and also by Bell, should manifest
itself in any state in any system with more than two distinguishable states and recently has …