Quantum Error-Correcting Codes Need Not Completely Reveal the Error Syndrome

Details Quantum Error-Correcting Codes Need Not Completely Reveal the Error Syndrome Quantum Error-Correcting Codes Need Not Completely Reveal the Error Syndrome

1996-04-08

arxiv.org/abs/quant-ph/9604006v2

Physics

Quantum Physics

13 pages revtex including 3 encapsulated postscript figures included using psfig. Replaced April 12, 1996 to fix minor errors

Scientific paper

Quantum error-correcting codes so far proposed have not worked in the presence of noise which introduces more than one bit of entropy per qubit sent through a quantum channel, nor can any code which identifies the complete error syndrome. We describe a code which does not find the complete error syndrome and can be used for reliable transmission of quantum information through channels which add more than one bit of entropy per transmitted bit. In the case of the depolarizing channel our code can be used in a channel of fidelity .8096. The best existing code worked only down to .8107.

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