Sharing nonfungible information requires shared nonfungible information

@article{Fields2019SharingNI,
  title={Sharing nonfungible information requires shared nonfungible information},
  author={C. Fields and A. Marcian{\`o}},
  journal={arXiv: Quantum Physics},
  year={2019}
}
We show that sharing a quantum reference frame requires sharing measurement operators that identify the reference frame in addition to operators that measure its state. Observers restricted to finite resources cannot, in general, operationally determine that they share such operators. Uncertainty about whether system-identification operators are shared induces decoherence. 
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