PIRSA:19070022 Conference Condensed Matter

DOI10.48660/19070022

Conference/School: Machine Learning for Quantum Design

Torlai, G. (2019). Alleviating the sign structure of quantum states. Perimeter Institute. https://pirsa.org/19070022

Torlai, Giacomo. Alleviating the sign structure of quantum states. Perimeter Institute, Jul. 08, 2019, https://pirsa.org/19070022 

@misc{ pirsa_PIRSA:19070022,
  doi = {10.48660/19070022},
  url = {https://pirsa.org/19070022},
  author = {Torlai, Giacomo},
  keywords = {Condensed Matter},
  language = {en},
  title = {Alleviating the sign structure of quantum states},
  publisher = {Perimeter Institute},
  year = {2019},
  month = {jul},
  note = {PIRSA:19070022 see, \url{https://pirsa.org}}
}

Abstract

The sign structure of quantum states - the appearance of “probability” amplitudes with negative sign - is one of the most striking contrasts between the classical and the quantum world, with far-reaching implications in condensed matter physics and quantum information science. Because it is a basis-dependent property, one may wonder: is a given sign structure truly intrinsic, or can it be removed by a local change of basis? In this talk, I will present an algorithm based on automatic differentiation of tensor networks for discovering non-negative representations of many-body wavefunctions. I will show some numerical results for ground states of a two-leg triangular Heisenberg ladder, including an exotic Bose-metal phase.

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