A combinatorial approach to quantum error correcting codes

  title={A combinatorial approach to quantum error correcting codes},
  author={German Luna and Samuel Reid and Bianca De Sanctis and Vlad Gheorghiu},
Motivated from the theory of quantum error correcting codes, we investigate a combinatorial problem that involves a symmetric n-vertices colorable graph and a group of operations (coloring rules) on the graph: find the minimum sequence of operations that maps between two given graph colorings. We provide an explicit algorithm for computing the solution of our problem, which in turn is directly related to computing the distance (performance) of an underlying quantum error correcting code… 

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