PIRSA:07060019

Symmetric extendibility of quantum states

Myhr, G. (2007). Symmetric extendibility of quantum states. Perimeter Institute. https://pirsa.org/07060019

Myhr, Geir. Symmetric extendibility of quantum states. Perimeter Institute, Jun. 03, 2007, https://pirsa.org/07060019 

          @misc{ pirsa_PIRSA:07060019,
            doi = {10.48660/07060019},
            url = {https://pirsa.org/07060019},
            author = {Myhr, Geir},
            keywords = {Quantum Information},
            language = {en},
            title = {Symmetric extendibility of quantum states},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {jun},
            note = {PIRSA:07060019 see, \url{https://pirsa.org}}
          }

Geir Myhr Institute for Quantum Computing (IQC)

DOI 10.48660/07060019
Collection
Talk Type Conference
Subject

Abstract

Imagine that Alice and Bob share a quantum state, from which they want to distill something useful like entanglement or secret key. For this they need to communicate classically and they want to do this by one way communication from Alice to Bob. For some states, it might happen that the state is a part of a tripartite state shared with Charlie, which is invariant if Bob's and Charlie's systems are switched. Such a state is called a symmetric extension, and if it exists Alice and Bob have no chance of distilling key or entanglement by one way communication. I will present some results characterizing which quantum states have symmetric extension.