Quantum buried treasure

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2005},
            month = {dec},
            note = {PIRSA:05120014 see, \url{https://scivideos.org/index.php/pirsa/05120014}}
          }
          

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.