PIRSA:12120035 Scientific Series Quantum Information

DOI10.48660/12120035

Series: Quantum Information

Kim, I. (2012). Application of conditional independence to gapped quantum many-body systems. Perimeter Institute. https://pirsa.org/12120035

Kim, Isaac. Application of conditional independence to gapped quantum many-body systems. Perimeter Institute, Dec. 12, 2012, https://pirsa.org/12120035 

@misc{ pirsa_PIRSA:12120035,
  doi = {10.48660/12120035},
  url = {https://pirsa.org/12120035},
  author = {Kim, Isaac},
  keywords = {Quantum Information},
  language = {en},
  title = {Application of conditional independence to gapped quantum many-body systems},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {dec},
  note = {PIRSA:12120035 see, \url{https://pirsa.org}}
}

Abstract

It is widely known in the quantum information community that the states that satisfy strong subadditivity of entropy with equality have the form of quantum Markov chain. Based on a recent strengthening of strong subadditivity of entropy, I will describe how such structure can be exploited in the studies of gapped quantum many-body system. In particular, I will describe a diagrammatic trick to i) give a quantitative statement about the locality of entanglement spectrum ii) perturbatively bound changes of topological entanglement entropy under generic perturbation.

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