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Theory of Quantum Error Correction for General Noise
Physical Review Letters
Quantum Error Correction will be necessary for preserving coherent states against noise and other unwanted interactions in quantum computation and communication. We develop a general theory of quantum error correction based on encoding states into larger Hilbert spaces subject to known interactions. We obtain necessary and sufficient conditions for the perfect recovery of an encoded state after its degradation by an interaction. The conditions depend only on the behavior of the logical states.doi:10.1103/physrevlett.84.2525 pmid:11018926 fatcat:hfcxkhxjcvbpxasllgbtc7vq7a