Neural-network simulation of strongly correlated quantum systems / Stefanie Czischek.

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 digital high-performance computing...

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Bibliographic Details
Main Author: Czischek, Stefanie, 1990- (Author)
Format: eBook
Language:English
Published: Cham, Switzerland : Springer, [2020]
Series:Springer theses.
Subjects:
Online Access:Click for online access

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100 1 |a Czischek, Stefanie,  |d 1990-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjKbMHTpcQMq6dGyjMkT6q 
245 1 0 |a Neural-network simulation of strongly correlated quantum systems /  |c Stefanie Czischek. 
264 1 |a Cham, Switzerland :  |b Springer,  |c [2020] 
300 |a 1 online resource (xv, 205 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a Springer theses,  |x 2190-5061 
500 |a "Doctoral thesis accepted by Heidelberg University, Heidelberg, Germany." 
504 |a Includes bibliographical references. 
505 0 |a Introduction -- Quantum Mechanics and Spin Systems -- Artificial Neural Networks -- Discrete Truncated Wigner Approximation -- BM-Based Wave Function Parametrization -- Deep Neural Networks and Phase Reweighting -- Towards Neuromorphic Sampling of Quantum States -- Conclusion. 
520 |a 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 digital 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, e.g., 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. 
650 0 |a Quantum systems. 
650 0 |a Quantum theory. 
650 0 |a Neural networks (Computer science) 
650 7 |a Machine learning.  |2 bicssc 
650 7 |a Mathematical modelling.  |2 bicssc 
650 7 |a Materials  |x States of matter.  |2 bicssc 
650 7 |a Quantum physics (quantum mechanics & quantum field theory)  |2 bicssc 
650 7 |a Computers  |x Intelligence (AI) & Semantics.  |2 bisacsh 
650 7 |a Mathematics  |x Applied.  |2 bisacsh 
650 7 |a Science  |x Solid State Physics.  |2 bisacsh 
650 7 |a Science  |x Quantum Theory.  |2 bisacsh 
650 7 |a Neural networks (Computer science)  |2 fast 
650 7 |a Quantum systems  |2 fast 
650 7 |a Quantum theory  |2 fast 
655 0 |a Electronic books. 
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776 0 8 |i Print version:  |a Czischek, Stefanie, 1990-  |t Neural-network simulation of strongly correlated quantum systems.  |d Cham, Switzerland : Springer, [2020]  |z 303052714X  |z 9783030527143  |w (OCoLC)1157878922 
830 0 |a Springer theses.  |x 2190-5061 
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