Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality.

  title={Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality.},
  author={Georgios Styliaris and Namit Anand and Paolo Zanardi},
  journal={Physical review letters},
  volume={126 3},
In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for information scrambling in quantum many-body systems. Here, we present exact analytical results for the OTOC for a typical pair of random local operators supported over two regions of a bipartition. Quite remarkably, we show that this "bipartite OTOC" is equal to the operator entanglement of the evolution, and we determine its interplay with entangling power. Furthermore, we compute long-time averages… 

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