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Trapped Ion Quantum Computing
Quantum Error Correction of Observables
arXiv
Authors: Cedric Beny, Achim Kempf, David W. Kribs
Year
2007
Paper ID
50338
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
Abstract
A formalism for quantum error correction based on operator algebras was introduced in [1] 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 the results of [1], derive a number of new results, and we elucidate key points with expanded discussions. We also present several examples and indicate how the theory can be extended to operator spaces and general positive operator-valued measures.
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- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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- A formalism for quantum error correction based on operator algebras was introduced in [1] via consideration of the Heisenberg picture for quantum dynamics.
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