PIRSA:15020108 Scientific Series Quantum Foundations Quantum Information

DOI10.48660/15020108

Series: Perimeter Institute Quantum Discussions

Nagaj, D. (2015). Local tests of global entanglement and a counterexample to the generalized area law . Perimeter Institute. https://pirsa.org/15020108

Nagaj, Daniel. Local tests of global entanglement and a counterexample to the generalized area law . Perimeter Institute, Feb. 18, 2015, https://pirsa.org/15020108 

@misc{ pirsa_PIRSA:15020108,
  doi = {10.48660/15020108},
  url = {https://pirsa.org/15020108},
  author = {Nagaj, Daniel},
  keywords = {Quantum Foundations, Quantum Information},
  language = {en},
  title = {Local tests of global entanglement and a counterexample to the generalized area law },
  publisher = {Perimeter Institute},
  year = {2015},
  month = {feb},
  note = {PIRSA:15020108 see, \url{https://pirsa.org}}
}

Abstract

We introduce a technique for applying quantum expanders in a distributed fashion, and use it to solve two basic questions: testing whether a bipartite quantum state shared by two parties is the maximally entangled state and disproving a generalized area law. In the process these two questions which appear completely unrelated turn out to be two sides of the same coin. Strikingly in both cases a constant amount of resources are used to verify a global property.

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