PIRSA:05120014 Scientific Series Quantum Information

DOI10.48660/05120014

Series: Perimeter Institute Quantum Discussions

Walgate, J. (2005). Quantum buried treasure. Perimeter Institute. https://pirsa.org/05120014

Walgate, Jonathan. Quantum buried treasure. Perimeter Institute, Dec. 14, 2005, https://pirsa.org/05120014 

@misc{ pirsa_PIRSA:05120014,
  doi = {10.48660/05120014},
  url = {https://pirsa.org/05120014},
  author = {Walgate, Jonathan},
  keywords = {Quantum Information},
  language = {en},
  title = {Quantum buried treasure},
  publisher = {Perimeter Institute},
  year = {2005},
  month = {dec},
  note = {PIRSA:05120014 see, \url{https://pirsa.org}}
}

Abstract

A swashbuckling tale of greed, deception, and quantum data hiding on the high seas. When we hide or encrypt information, it's probably because that information is valuable. I present a novel approach to quantum data hiding based this assumption. An entangled treasure map marks the spot where a hoard of doubloons is buried, but the sailors sharing this map want all the treasure for themselves! How should they study their map using LOCC? This simple scenario yields a surprisingly rich and counterintuitive game theoretic structure. A maximally entangled map performs no better than a separable one, leaving the treasure completely exposed. But non-maximally entangled maps can hide the information almost perfectly. Warning: contains pirates.

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