Silvestrov, P. G. and Schomerus, H. and Beenakker, C. W. J. (2001) Limits to Error Correction in Quantum Chaos . Physical Review Letters, 86. p. 5192.
We study the correction of errors that have accumulated in an entangled state of spins as a result of unknown local variations in the Zeeman energy ( B) and spin-spin interaction energy ( J). A nondegenerate code with error rate Îº can recover the original state with high fidelity within a time tRâ��Ä§Îº1/2/max(B,J)â��independent of the number of encoded qubits. Whether the Hamiltonian is chaotic or not does not affect this time scale, but it does affect the complexity of the error-correcting code.
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