Inaccessible entanglement in symmetry protected topological phases

  title={Inaccessible entanglement in symmetry protected topological phases},
  author={Carolin de Groot and David T. Stephen and Andr{\'a}s Moln{\'a}r and Norbert Schuch},
  journal={arXiv: Quantum Physics},
We study the entanglement structure of symmetry-protected topological (SPT) phases from an operational point of view by considering entanglement distillation in the presence of symmetries. We demonstrate that non-trivial SPT phases in one-dimension necessarily contain some entanglement which is inaccessible if the symmetry is enforced. More precisely, we consider the setting of local operations and classical communication (LOCC) where the local operations commute with a global onsite symmetry… 

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