PIRSA:21040010

Video URL

https://pirsa.org/21040010

From observations to complexity of quantum states: an unsupervised learning approach

Lenarcic, Z. (2021). From observations to complexity of quantum states: an unsupervised learning approach. Perimeter Institute for Theoretical Physics. https://pirsa.org/21040010

Lenarcic, Zala. From observations to complexity of quantum states: an unsupervised learning approach. Perimeter Institute for Theoretical Physics, Apr. 13, 2021, https://pirsa.org/21040010 

          @misc{ scivideos_PIRSA:21040010,
            doi = {10.48660/21040010},
            url = {https://pirsa.org/21040010},
            author = {Lenarcic, Zala},
            keywords = {Quantum Matter},
            language = {en},
            title = {From observations to complexity of quantum states: an unsupervised learning approach},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {apr},
            note = {PIRSA:21040010 see, \url{https://scivideos.org/index.php/pirsa/21040010}}
          }

Zala Lenarcic Jozef Stefan Institute

Talk numberPIRSA:21040010
DOI10.48660/21040010
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

The vast complexity is a daunting property of generic quantum states that poses a significant challenge for theoretical treatments, especially in non-equilibrium setups. Therefore, it is vital to recognize states which are locally less complex and thus describable with (classical) effective theories.

I will discuss how unsupervised learning can detect the local complexity of states. This approach can be used as a probe of scrambling and thermalization in chaotic quantum systems or to assign the local complexity of density matrices in open setups without knowing the corresponding Hamiltonian or Liouvillian. The analysis actually allows for the reconstruction of Hamiltonian operators or even noise-type that might be contaminating the measurements. Our approach is an ideal diagnostics tool for data obtained from (noisy) quantum simulators because it requires only practically accessible local observations. For example, it would be perfectly suited to detect the many-body localization (MBL) transition or integrability effects from the experimental snapshots obtained with cold atoms.

If time permits, I will mention other ways to detect properties of MBL transition in weakly open and driven setups and the advantages of such an unconventional approach.

M. Schmitt and Z. Lenarcic, arXiv:2102.11328.

Z. Lenarcic, O. Alberton, A. Rosch and E. Altman, PRL 125, 116601 (2020).