PIRSA:12120010 Scientific Series Quantum Information

DOI10.48660/12120010

Series: Quantum Information

(2012). Local topological order inhibits thermal stability in 2D. Perimeter Institute. https://pirsa.org/12120010

Local topological order inhibits thermal stability in 2D. Perimeter Institute, Dec. 05, 2012, https://pirsa.org/12120010 

@misc{ pirsa_PIRSA:12120010,
  doi = {10.48660/12120010},
  url = {https://pirsa.org/12120010},
  author = {},
  keywords = {Quantum Information},
  language = {en},
  title = {Local topological order inhibits thermal stability in 2D},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {dec},
  note = {PIRSA:12120010 see, \url{https://pirsa.org}}
}

Abstract

We study the robustness of quantum information stored in the degenerate ground space of a local, frustration-free Hamiltonian with commuting terms on a 2D spin lattice. On one hand, a macroscopic energy barrier separating the distinct ground states under local transformations would protect the information from thermal fluctuations. On the other hand, local topological order would shield the ground space from static perturbations. Here we demonstrate that local topological order implies a constant energy barrier, thus inhibiting thermal stability. Joint work with David Poulin. arXiv:1209.5750

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