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Finding Quantum Critical Points with Neural-Network Quantum States
Conference proceeding   Peer reviewed

Finding Quantum Critical Points with Neural-Network Quantum States

Remmy Zen, Long My, Ryan Tan, Frederic Hebert, Mario Gattobigio, Christian Miniatura, Dario Poletti and Stephane Bressan
ECAI 2020 : 24th European conference on artificial intelligence, 29 August-8 September 2020, Santiago de Compostela, Spain - including 10th conference on prestigious applications of artificial intelligence (Pais 2020), Vol.325, pp.1962-1969
Frontiers in Artificial Intelligence and Applications
01/01/2020

Abstract

Computer Science Computer Science, Artificial Intelligence Science & Technology Technology
Finding the precise location of quantum critical points is of particular importance to characterise quantum many-body systems at zero temperature. However, quantum many-body systems are notoriously hard to study because the dimension of their Hilbert space increases exponentially with their size. Recently, machine learning tools known as neural-network quantum states have been shown to effectively and efficiently simulate quantum many-body systems. We present an approach to finding the quantum critical points of the quantum Ising model using neural-network quantum states, analytically constructed innate restricted Boltzmann machines, transfer learning and unsupervised learning. We validate the approach and evaluate its efficiency and effectiveness in comparison with other traditional approaches.

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