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Limits to Error Correction in Quantum Chaos .

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<mark>Journal publication date</mark>2001
<mark>Journal</mark>Physical review letters
Volume86
Pages (from-to)5192
Publication StatusPublished
<mark>Original language</mark>English

Abstract

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 κ can recover the original state with high fidelity within a time tR�ħκ1/2/max(B,J)�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.