Quantum error correction of observables

  title={Quantum error correction of observables},
  author={C{\'e}dric B{\'e}ny and Achim Kempf and David W. Kribs},
  journal={Physical Review A},
A formalism for quantum error correction based on operator algebras was introduced by us earlier [Phys. Rev. Lett. 98, 10052 (2007)] via consideration of the Heisenberg picture for quantum dynamics. The resulting theory allows for the correction of hybrid quantum-classical information and does not require an encoded state to be entirely in one of the corresponding subspaces or subsystems. Here, we provide detailed proofs for our earlier results, derive more results, and elucidate key points… 

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