Berlin 2005 – scientific programme

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Q: Quantenoptik und Photonik

Q 42: Quanteninformation II

Q 42.3: Talk

Tuesday, March 8, 2005, 14:30–14:45, HU Audimax

Tough error models — •Michael Reimpell and Reinhard F. Werner — Institut für Mathematische Physik, TU Braunschweig, Mendelssohnstraße 3, 38106 Braunschweig

We study the ability to correct a noisy quantum channel, given only the number of independent Kraus operators of the channel. Consider a noisy channel on a d-dimensional system, which requires e Kraus operators, or error syndromes. If e is sufficiently small, one can find a Knill-Laflamme error correcting code, by which a system of fairly large dimension c can be transmitted through the channel. We consider the conditions on (c,d,e) making such correction possible without further information on the error operators. A tough error model is a set of error syndromes which cannot be corrected perfectly and has the additional property that any subset can be corrected, already on the grounds of the size of e. We present analytic and numerical results on the triples (c,d,e) allowing correction, as well as on tough error models.