corner
corner

Phys. Rev. A 77, 010301(R) (2008) [4 pages]

Correctable noise of quantum-error-correcting codes under adaptive concatenation

Download: PDF (82 kB) Buy this article Export: BibTeX or EndNote (RIS)

Jesse Fern
Berkeley Quantum Information Center, Department of Mathematics, University of California, Berkeley, California 94720, USA

Received 28 March 2007; published 18 January 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.010301
DOI:
10.1103/PhysRevA.77.010301
PACS:
03.67.Lx