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Titlebook: Neural-Network Simulation of Strongly Correlated Quantum Systems; Stefanie Czischek Book 2020 The Editor(s) (if applicable) and The Author

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11#
發(fā)表于 2025-3-23 11:35:07 | 只看該作者
Discrete Truncated Wigner Approximationhe Wigner function, a (quasi-)probability distribution in phase space underlying the initial quantum state. This ansatz is called the truncated Wigner approximation and it can be adapted for spin-1/2 systems providing the discrete truncated Wigner approximation. In comparison to mean-field approxima
12#
發(fā)表于 2025-3-23 14:05:57 | 只看該作者
RBM-Based Wave Function Parametrizationuantum Monte Carlo methods to approximately simulate the same quenches in the transverse-field Ising model. Those methods are based on sampling states from a probability distribution underlying the Hilbert space to approximately evaluate expectation values of quantum operators. The task is then to e
13#
發(fā)表于 2025-3-23 19:20:05 | 只看該作者
Deep Neural Networks and Phase Reweightingether other computing devices going beyond the von-Neumann architecture are more suitable for these tasks. One such device is the neuromorphic hardware present in the BrainScaleS group at Heidelberg University, which we introduced in Sect.?.. This hardware can efficiently produce samples from Boltzm
14#
發(fā)表于 2025-3-23 22:41:31 | 只看該作者
15#
發(fā)表于 2025-3-24 02:46:34 | 只看該作者
Conclusions, where general efficient simulation techniques are still missing. We have considered the discrete truncated Wigner approximation (dTWA) as a semi-classical phase-space method[.,.,.], as well as an approach based on quantum Monte Carlo techniques. The latter uses a parametrization of quantum state
16#
發(fā)表于 2025-3-24 09:05:41 | 只看該作者
2190-5053 and artificial neural networks.Deep discussions of simulati.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 parti
17#
發(fā)表于 2025-3-24 13:09:52 | 只看該作者
RBM-Based Wave Function Parametrization approach using a restricted Boltzmann machine to parametrize quantum state vectors and apply Monte Carlo sampling of those states has been introduced in[.], where representations of ground states and dynamics are found via a variational ansatz.
18#
發(fā)表于 2025-3-24 16:11:35 | 只看該作者
19#
發(fā)表于 2025-3-24 19:27:29 | 只看該作者
20#
發(fā)表于 2025-3-25 02:47:25 | 只看該作者
Book 2020neral, 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. Artif
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