Berlin 2005 – wissenschaftliches Programm
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TT: Tiefe Temperaturen
TT 13: Transport - Quantum Coherence and Quantum Information Systems
TT 13.7: Vortrag
Samstag, 5. März 2005, 10:15–10:30, TU H3027
Quantum-Error-Correction in spatially correlated quantum-noise — •Rochus Klesse and Sandra Frank — Universität Köln
We study the performance of quantum error-correcting codes in a model that admits error-correlations. The model consists of n spins (qubits) coupled to a common bosonic bath. The amount of error-correlation is determined by the spatial distance d between the spins. We find that the performance of error correcting Calderbank-Shor-Steane codes is very sensitive to error-correlations: while independent errors (d → ∞) can be effectively corrected, error correlations that are present at vanishing distances d lead to a complete failure of the error correction in the limit of large n. We also discuss the case of intermediate error correlations at finite distances d.