Recovery of the completely entangled state, and an information theoretic
We relate thisĭefinition to four others: The existence of a left inverse of the interaction,Īn explicit representation of the error syndrome using tensor products, perfect Operator independent definition of error-correcting codes. Only on the behavior of the logical states. Obtain necessary and sufficient conditions for the perfect recovery of anĮncoded state after its degradation by an interaction. We develop a general theory of quantum error correction based onĮncoding states into larger Hilbert spaces subject to known interactions. Download a PDF of the paper titled A Theory of Quantum Error-Correcting Codes, by Emanuel Knill and Raymond Laflamme Download PDF Abstract: Quantum Error Correction will be necessary for preserving coherent statesĪgainst noise and other unwanted interactions in quantum computation andĬommunication.
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