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It is important to study the behavior of a t-error correcting quantum codewhen the number of errors is greater than t, because it is likely that thereare also small errors besides t large correctable errors. We give a lower boundfor the fidelity of a t-error correcting stabilizer code over a generalmemoryless channel, allowing more than t errors. We also show that the fidelitycan be made arbitrary close to 1 by increasing the code length.Comment: 9 pages, ReVTeX4 beta 5. To be published in Phys. Rev. A. The lower  bound is made tighter in version 4 and 5. All approximations in the first  version are removed, and a lower bound for the average of the fidelity is  given in the second version. A critical error is correcte

Erratum: Fidelity of at-error-correcting quantum code with more thanterrors [Phys. Rev. A64, 022314 (2001)]