This book presents a new way of thinking about quantum mechanics and
machine learning by merging the two. Quantum mechanics and machine
learning may seem theoretically disparate, but their link becomes
clear through the density matrix operator which can be readily
approximated by neural network models, permitting a formulation of
quantum physics in which physical observables can be computed via
neural networks. As well as demonstrating the natural affinity of
quantum physics and machine learning, this viewpoint opens rich
possibilities in terms of computation, efficient hardware, and
scalability. One can also obtain trainable models to optimize
applications and fine-tune theories, such as approximation of the
ground state in many body systems, and boosting quantum circuits’
performance. The book begins with the introduction of programming
tools and basic concepts of machine learning, with necessary
background material from quantum mechanics and quantum information
also provided. This enables the basic building blocks, neural network
models for vacuum states, to be introduced. The highlights that follow
include: non-classical state representations, with squeezers and beam
splitters used to implement the primary layers for quantum computing;
boson sampling with neural network models; an overview of available
quantum computing platforms, their models, and their programming; and
neural network models as a variational ansatz for many-body
Hamiltonian ground states with applications to Ising machines and
solitons. The book emphasizes coding, with many open source examples
in Python and TensorFlow, while MATLAB and Mathematica routines
clarify and validate proofs. This book is essential reading for
graduate students and researchers who want to develop both the
requisite physics and coding knowledge to understand the rich
interplay of quantum mechanics and machine learning.
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Thinking and Exploration in Neural Network Models for Quantum Science and Quantum Computing
Produktdetaljer
ISBN
9783031442261
Publisert
2023
Utgiver
Springer Nature
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter