dorsal/arxiv
View SchemaLimits to error correction in quantum chaos
| Authors | P. G. Silvestrov, H. Schomerus, C. W. J. Beenakker |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012119 |
| URL | https://arxiv.org/abs/quant-ph/0012119 |
| DOI | 10.1103/PhysRevLett.86.5192 |
| Journal | Phys.Rev.Lett. 86, 5192 (2001) |
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 non-degenerate code with error rate kappa can recover the original state with high fidelity within a time kappa^1/2 / 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.
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"abstract": "We study the correction of errors that have accumulated in an entangled state\nof spins as a result of unknown local variations in the Zeeman energy (B) and\nspin-spin interaction energy (J). A non-degenerate code with error rate kappa\ncan recover the original state with high fidelity within a time kappa^1/2 /\nmax(B,J) -- independent of the number of encoded qubits. Whether the\nHamiltonian is chaotic or not does not affect this time scale, but it does\naffect the complexity of the error-correcting code.",
"arxiv_id": "quant-ph/0012119",
"authors": [
"P. G. Silvestrov",
"H. Schomerus",
"C. W. J. Beenakker"
],
"categories": [
"quant-ph",
"cond-mat"
],
"doi": "10.1103/PhysRevLett.86.5192",
"journal_ref": "Phys.Rev.Lett. 86, 5192 (2001)",
"title": "Limits to error correction in quantum chaos",
"url": "https://arxiv.org/abs/quant-ph/0012119"
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