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Phys. Rev. Lett. 94, 080501 (2005) [4 pages]

Iterative Optimization of Quantum Error Correcting Codes

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M. Reimpell and R. F. Werner
Institut für Mathematische Physik, TU-Braunschweig, Mendelssohnstraße 3, D-38106 Braunschweig, Germany

Received 5 August 2003; published 2 March 2005

We introduce a convergent iterative algorithm for finding the optimal coding and decoding operations for an arbitrary noisy quantum channel. This algorithm does not require any error syndrome to be corrected completely, and hence also finds codes outside the usual Knill-Laflamme definition of error correcting codes. The iteration is shown to improve the figure of merit “channel fidelity” in every step.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.080501
DOI:
10.1103/PhysRevLett.94.080501
PACS:
03.67.Pp, 03.65.Db