Physics – Quantum Physics
Scientific paper
2000-11-13
Phys. Rev. A 64, 022314 (2001); Erratum: Phys. Rev. A 66, 059901 (2002).
Physics
Quantum Physics
9 pages, ReVTeX4 beta 5. To be published in Phys. Rev. A. The lower bound is made tighter in version 4 and 5. All approximatio
Scientific paper
10.1103/PhysRevA.66.059901
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 give a lower bound for 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.
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