- Working Paper
A central question in quantum information theory is to determine how well lost information can be reconstructed. Crucially, the corresponding recovery operation should perform well without knowing the information to be reconstructed. In this work, we show that the quantum conditional mutual information measures the performance of such recovery operations. More precisely, we prove that the conditional mutual information I(A:C|B) of a tripartite quantum state ABC can be bounded from below by its distance to the closest recovered state RB!BC(AB), where the C-part is reconstructed from the B-part only and the recovery map RB!BC merely depends on BC. One particular application of this result implies the equivalence between two different approaches to define topological order in quantum systems Show more
Journal / seriesarXiv
Pages / Article No.
Organisational unit03781 - Renner, Renato
NotesSubmitted on 27 April 2015, Last revised 23 September 2015.
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