München 2004 – scientific programme

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Q: Quantenoptik und Photonik

Q 2: Quanteninformation I

Q 2.7: Talk

Monday, March 22, 2004, 15:30–15:45, HS 101

Quantum Error Correcting Codes - Ab Initio — •Michael Reimpell and Reinhard F. Werner — Institut für Mathematische Physik, TU Braunschweig, Mendelssohnstraße 3, 38106 Braunschweig

We introduce an iterative algorithm for finding the optimal coding and decoding operations for an arbitrary channel. In contrast to the usual approach, we do not a priori require any error syndrome to be corrected completely. Therefore possible solutions are not restricted to the Knill-Laflamme definition of error correcting codes. The iteration is shown to improve a given figure of merit in every step and each stable fixed point of the iteration is a global optimum.