Fidelity of at-error-correcting quantum code with more thanterrors
Ryutaroh Matsumoto · Physical Review A · 2001
It is important to study the behavior of a t-error-correcting quantum code when the number of errors is greater than t because it is likely that there are also small errors besides t large correctable errors. We estimate the fidelity of a t-error-correcting stabilizer code over a general memoryless channel, allowing more than t errors. We also show that the fidelity can be made arbitrary close to $1$ by increasing the code length.