PIRSA:10050066 Conference Quantum Information

DOI10.48660/10050066

Conference/School: Emergence and Entanglement - 2010

Vidal, G. (2010). Entanglement renormalization and gauge symmetry. Perimeter Institute. https://pirsa.org/10050066

Vidal, Guifre. Entanglement renormalization and gauge symmetry. Perimeter Institute, May. 25, 2010, https://pirsa.org/10050066 

@misc{ pirsa_PIRSA:10050066,
  doi = {10.48660/10050066},
  url = {https://pirsa.org/10050066},
  author = {Vidal, Guifre},
  keywords = {Quantum Information},
  language = {en},
  title = {Entanglement renormalization and gauge symmetry},
  publisher = {Perimeter Institute},
  year = {2010},
  month = {may},
  note = {PIRSA:10050066 see, \url{https://pirsa.org}}
}

Abstract

A lattice gauge theory is described by a redundantly large vector space that is subject to local constraints, and it can be regarded as the low energy limit of a lattice model with a local symmetry. I will describe a coarse-graining scheme capable of exactly preserving local symmetries. The approach results in a variational ansatz for the ground state(s) and low energy excitations of a lattice gauge theory. This ansatz has built-in local symmetries, which are exploited to significantly reduce simulation costs. I will describe benchmark results in the context of Kitaev’s toric code with a magnetic field or, equivalently, Z2 lattice gauge theory, for lattices with up to 16 x 16 sites (16^2 x 2 = 512 spins) on a torus.

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