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 …

Machine learning meets quantum foundations: A brief survey

K Bharti, T Haug, V Vedral, LC Kwek - AVS Quantum Science, 2020 - pubs.aip.org
The goal of machine learning is to facilitate a computer to execute a specific task without
explicit instruction by an external party. Quantum foundations seek to explain the conceptual …

Quantifying quantum speedups: Improved classical simulation from tighter magic monotones

JR Seddon, B Regula, H Pashayan, Y Ouyang… - PRX Quantum, 2021 - APS
Consumption of magic states promotes the stabilizer model of computation to universal
quantum computation. Here, we propose three different classical algorithms for simulating …

Contextuality and inductive bias in quantum machine learning

J Bowles, VJ Wright, M Farkas, N Killoran… - arXiv preprint arXiv …, 2023 - arxiv.org
Generalisation in machine learning often relies on the ability to encode structures present in
data into an inductive bias of the model class. To understand the power of quantum machine …

Phase-space-simulation method for quantum computation with magic states on qubits

R Raussendorf, J Bermejo-Vega, E Tyhurst, C Okay… - Physical Review A, 2020 - APS
We propose a method for classical simulation of finite-dimensional quantum systems, based
on sampling from a quasiprobability distribution, ie, a generalized Wigner function. Our …

Unscrambling the omelette of causation and inference: The framework of causal-inferential theories

D Schmid, JH Selby, RW Spekkens - arXiv preprint arXiv:2009.03297, 2020 - arxiv.org
Using a process-theoretic formalism, we introduce the notion of a causal-inferential theory: a
triple consisting of a theory of causal influences, a theory of inferences (of both the Boolean …

Corrected Bell and non-contextuality inequalities for realistic experiments

K Vallée, PE Emeriau, B Bourdoncle… - … of the Royal …, 2024 - royalsocietypublishing.org
Contextuality is a feature of quantum correlations. It is crucial from a foundational
perspective as a non-classical phenomenon, and from an applied perspective as a resource …

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 …

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 …

Emergence of noncontextuality under quantum darwinism

RD Baldijão, R Wagner, C Duarte, B Amaral… - PRX Quantum, 2021 - APS
Quantum Darwinism proposes that the proliferation of redundant information plays a major
role in the emergence of objectivity out of the quantum world. Is this kind of objectivity …