Description: Neural-Network Simulation of Strongly Correlated Quantum Systems : Doctoral Thesis Accepted by Heidelberg University, Heidelberg, Germany, Hardcover by Czischek, Stefanie, ISBN 303052714X, ISBN-13 9783030527143, Like New Used, Free shipping in the US Quantum systems with many degrees of freedom are inherently difficult to describe and simulate quantitatively. The space of possible states is, in general, exponentially large in the number of degrees of freedom such as the number of particles it contains. Standard high-performance computing is generally too weak to capture all the necessary details, such that alternative quantum simulation devices have been proposed as a solution. Artificial neural networks, with their high non-local connectivity between the neuron degrees of freedom, may soon gain importance in simulating static and dynamical behavior of quantum systems. Particularly promising candidates are neuromorphic realizations based on analog electronic circuits which are being developed to capture, ., the functioning of biologically relevant networks. In turn, such neuromorphic systems may be used to measure and control real quantum many-body systems online. This thesis lays an important foundation for the realization of quantum simulations by means of neuromorphic hardware, for using quantum physics as an input to classical neural nets and, in turn, for using network results to be fed back to quantum systems. The necessary foundations on both sides, quantum physics and artificial neural networks, are described, providing a valuable reference for researchers from these different communities who need to understand the foundations of both.
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Book Title: Neural-Network Simulation of Strongly Correlated Quantum Systems
Number of Pages: Xv, 205 Pages
Language: English
Publisher: Springer International Publishing A&G
Topic: Physics / Quantum Theory, Probability & Statistics / General, Intelligence (Ai) & Semantics
Publication Year: 2020
Illustrator: Yes
Genre: Mathematics, Computers, Science
Item Weight: 17.8 Oz
Item Length: 9.3 in
Author: Stefanie Czischek
Book Series: Springer Theses Ser.
Item Width: 6.1 in
Format: Hardcover
