PIRSA:19070022

Alleviating the sign structure of quantum states

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}}
          }

Giacomo Torlai

Flatiron Institute

Talk number
PIRSA:19070022
Collection
Talk Type
Subject
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.