PIRSA:22110099

Entanglement features of random neural network quantum states

Sun, X. (2022). Entanglement features of random neural network quantum states. Perimeter Institute. https://pirsa.org/22110099

Sun, Xiaoqi. Entanglement features of random neural network quantum states. Perimeter Institute, Nov. 18, 2022, https://pirsa.org/22110099 

          @misc{ pirsa_PIRSA:22110099,
            doi = {10.48660/22110099},
            url = {https://pirsa.org/22110099},
            author = {Sun, Xiaoqi},
            keywords = {Other},
            language = {en},
            title = {Entanglement features of random neural network quantum states},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {nov},
            note = {PIRSA:22110099 see, \url{https://pirsa.org}}
          }

Xiaoqi Sun University of Illinois Urbana-Champaign

DOI 10.48660/22110099
Collection
Talk Type Scientific Series
Subject

Abstract

Neural networks offer a novel approach to represent wave functions for solving quantum many-body problems. But what kinds of quantum states are efficiently represented by neural networks? In this talk, we will discuss entanglement properties of an ensemble of neural network states represented by random restricted Boltzmann machines. Phases with distinct entanglement features are identified and characterized. In particular, for certain parameters, we will show that these neural network states can look typical in their entanglement profile while still being distinguishable from a typical state by their fractal dimensions. The obtained phase diagrams may help inform the initialization of neural network ansatzes for future computational tasks.

Zoom link:  https://pitp.zoom.us/j/94316902357?pwd=RGxWYm9EWGtGYzBvUzM5ZWdwVTB5dz09