Generalization of Quantum Error Correction via the Heisenberg Picture

Details Generalization of Quantum Error Correction via the Heisenberg Picture Generalization of Quantum Error Correction via the Heisenberg Picture

2006-08-08

arxiv.org/abs/quant-ph/0608071v2

Phys. Rev. Lett., 98, 100502 (2007)

Physics

Quantum Physics

5 pages, preprint version

Scientific paper

We show that the theory of operator quantum error correction can be naturally generalized by allowing constraints not only on states but also on observables. The resulting theory describes the correction of algebras of observables (and may therefore suitably be called ``operator algebra quantum error correction''). In particular, the approach provides a framework for the correction of hybrid quantum-classical information and it does not require the state to be entirely in one of the corresponding subspaces or subsystems. We discuss applications to quantum teleportation and to the study of information flows in quantum interactions.

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