Correctable noise of Quantum Error Correcting Codes under adaptive concatenation

Details Correctable noise of Quantum Error Correcting Codes under adaptive concatenation Correctable noise of Quantum Error Correcting Codes under adaptive concatenation

2007-03-28

arxiv.org/abs/quant-ph/0703258v3

Phys. Rev. A 77, 010301(R) (2008)

Physics

Quantum Physics

5 pages, no figures, RevTex4, minor changes, similar to final publication version

Scientific paper

10.1103/PhysRevA.77.010301

We examine the transformation of noise under a quantum error correcting code (QECC) concatenated repeatedly with itself, by analyzing the effects of a quantum channel after each level of concatenation using recovery operators that are optimally adapted to use error syndrome information from the previous levels of the code. We use the Shannon entropy of these channels to estimate the thresholds of correctable noise for QECCs and find considerable improvements under this adaptive concatenation. Similar methods could be used to increase quantum fault tolerant thresholds.

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