Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

JI Cirac, D Perez-Garcia, N Schuch, F Verstraete - Reviews of Modern Physics, 2021 - APS
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

A high-bias, low-variance introduction to machine learning for physicists

P Mehta, M Bukov, CH Wang, AGR Day, C Richardson… - Physics reports, 2019 - Elsevier
Abstract Machine Learning (ML) is one of the most exciting and dynamic areas of modern
research and application. The purpose of this review is to provide an introduction to the core …

Quantum convolutional neural networks

I Cong, S Choi, MD Lukin - Nature Physics, 2019 - nature.com
Neural network-based machine learning has recently proven successful for many complex
applications ranging from image recognition to precision medicine. However, its direct …

Parameterized quantum circuits as machine learning models

M Benedetti, E Lloyd, S Sack… - Quantum Science and …, 2019 - iopscience.iop.org
Hybrid quantum–classical systems make it possible to utilize existing quantum computers to
their fullest extent. Within this framework, parameterized quantum circuits can be regarded …

Pennylane: Automatic differentiation of hybrid quantum-classical computations

V Bergholm, J Izaac, M Schuld, C Gogolin… - arxiv preprint arxiv …, 2018 - arxiv.org
PennyLane is a Python 3 software framework for differentiable programming of quantum
computers. The library provides a unified architecture for near-term quantum computing …

Quantum algorithms for quantum chemistry and quantum materials science

B Bauer, S Bravyi, M Motta, GKL Chan - Chemical Reviews, 2020 - ACS Publications
As we begin to reach the limits of classical computing, quantum computing has emerged as
a technology that has captured the imagination of the scientific world. While for many years …

Quantum machine learning for 6G communication networks: State-of-the-art and vision for the future

SJ Nawaz, SK Sharma, S Wyne, MN Patwary… - IEEE …, 2019 - ieeexplore.ieee.org
The upcoming fifth generation (5G) of wireless networks is expected to lay a foundation of
intelligent networks with the provision of some isolated artificial intelligence (AI) operations …

Tensor networks for complex quantum systems

R Orús - Nature Reviews Physics, 2019 - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

[HTML][HTML] Quantum natural gradient

J Stokes, J Izaac, N Killoran, G Carleo - Quantum, 2020 - quantum-journal.org
A quantum generalization of Natural Gradient Descent is presented as part of a general-
purpose optimization framework for variational quantum circuits. The optimization dynamics …

[HTML][HTML] Photonic quantum metrology

E Polino, M Valeri, N Spagnolo, F Sciarrino - AVS Quantum Science, 2020 - pubs.aip.org
Quantum metrology is one of the most promising applications of quantum technologies. The
aim of this research field is the estimation of unknown parameters exploiting quantum …