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Approximate Quantum Error-Correcting Codes and Secret Sharing Schemes

(15 Mar 2005)

by Claude Crepeau, Daniel Gottesman, Adam Smith

posted to codes error-correction quantum by nigini on 2005-12-13 14:45:09

along with 1 person breic

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Abstract

It is a standard result in the theory of quantum error-correcting codes that no code of length n can fix more than n/4 arbitrary errors, regardless of the dimension of the coding and encoded Hilbert spaces. However, this bound only applies to codes which recover the message exactly. Naively, one might expect that correcting errors to very high fidelity would only allow small violations of this bound. This intuition is incorrect: in this paper we describe quantum error-correcting codes capable of ...

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nigini's Crepeau [1 article]

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