Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Limits to Error Correction in Quantum Chaos .
AU - Silvestrov, P. G.
AU - Schomerus, H.
AU - Beenakker, C. W. J.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
M3 - Journal article
VL - 86
SP - 5192
JO - Physical review letters
JF - Physical review letters
ER -