Opportunities and challenges for quantum-assisted machine learning in near-term quantum computers

A Perdomo-Ortiz, M Benedetti… - Quantum Science …, 2018 - iopscience.iop.org
With quantum computing technologies nearing the era of commercialization and quantum
supremacy, machine learning (ML) appears as one of the promising'killer'applications …

[BOOK][B] Quantum systems, channels, information: a mathematical introduction

AS Holevo - 2019 - books.google.com
Written by one of the founding fathers of Quantum Information, this book gives an accessible
(albeit mathematically rigorous), self-contained introduction to quantum information theory …

Forging the future: strategic approaches to quantum ai integration for industry transformation

ML How, SM Cheah - AI, 2024 - mdpi.com
The fusion of quantum computing and artificial intelligence (AI) heralds a transformative era
for Industry 4.0, offering unprecedented capabilities and challenges. This paper delves into …

Quantum stochastic processes and quantum non-Markovian phenomena

S Milz, K Modi - PRX Quantum, 2021 - APS
The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …

Disintegration and Bayesian inversion via string diagrams

K Cho, B Jacobs - Mathematical Structures in Computer Science, 2019 - cambridge.org
The notions of disintegration and Bayesian inversion are fundamental in conditional
probability theory. They produce channels, as conditional probabilities, from a joint state, or …

[BOOK][B] Bell nonlocality

V Scarani - 2019 - library.oapen.org
Nonlocality was discovered by John Bell in 1964, in the context of the debates about
quantum theory, but is a phenomenon that can be studied in its own right. Its observation …

[BOOK][B] Reality without realism: Matter, thought, and technology in quantum physics

A Plotnitsky - 2022 - Springer
Arkady Plotnitsky Matter, Thought, and Technology in Quantum Physics Page 1 Arkady Plotnitsky
Reality Without Realism Matter, Thought, and Technology in Quantum Physics Page 2 Reality …

Quantifying Bell: The resource theory of nonclassicality of common-cause boxes

E Wolfe, D Schmid, AB Sainz, R Kunjwal… - Quantum, 2020 - quantum-journal.org
We take a resource-theoretic approach to the problem of quantifying nonclassicality in Bell
scenarios. The resources are conceptualized as probabilistic processes from the setting …

Theoretical framework for higher-order quantum theory

A Bisio, P Perinotti - Proceedings of the Royal Society A, 2019 - royalsocietypublishing.org
Higher-order quantum theory is an extension of quantum theory where one introduces
transformations whose input and output are transformations, thus generalizing the notion of …

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 …