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Unified and Generalized Approach to Quantum Error Correction

2005; American Physical Society; Volume: 94; Issue: 18 Linguagem: Inglês

10.1103/physrevlett.94.180501

1092-0145

David W. Kribs, Raymond Laflamme, David Poulin,

Quantum Mechanics and Applications

We present a unified approach to quantum error correction, called operator quantum error correction. Our scheme relies on a generalized notion of a noiseless subsystem that is investigated here. By combining the active error correction with this generalized noiseless subsystems method, we arrive at a unified approach which incorporates the known techniques--i.e., the standard error correction model, the method of decoherence-free subspaces, and the noiseless subsystem method--as special cases. Moreover, we demonstrate that the quantum error correction condition from the standard model is a necessary condition for all known methods of quantum error correction.