dorsal/arxiv
View SchemaOptimal error tracking via quantum coding and continuous syndrome measurement
| Authors | Ramon van Handel, Hideo Mabuchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511221 |
| URL | https://arxiv.org/abs/quant-ph/0511221 |
Abstract
We revisit a scenario of continuous quantum error detection proposed by Ahn, Doherty and Landahl [Phys. Rev. A 65, 042301 (2002)] and construct optimal filters for tracking accumulative errors. These filters turn out to be of a canonical form from hybrid control theory; we numerically assess their performance for the bit-flip and five-qubit codes. We show that a tight upper bound on the stochastic decay of encoded fidelity can be computed from the measurement records. Our results provide an informative case study in decoherence suppression with finite-strength measurement.
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"abstract": "We revisit a scenario of continuous quantum error detection proposed by Ahn,\nDoherty and Landahl [Phys. Rev. A 65, 042301 (2002)] and construct optimal\nfilters for tracking accumulative errors. These filters turn out to be of a\ncanonical form from hybrid control theory; we numerically assess their\nperformance for the bit-flip and five-qubit codes. We show that a tight upper\nbound on the stochastic decay of encoded fidelity can be computed from the\nmeasurement records. Our results provide an informative case study in\ndecoherence suppression with finite-strength measurement.",
"arxiv_id": "quant-ph/0511221",
"authors": [
"Ramon van Handel",
"Hideo Mabuchi"
],
"categories": [
"quant-ph"
],
"title": "Optimal error tracking via quantum coding and continuous syndrome measurement",
"url": "https://arxiv.org/abs/quant-ph/0511221"
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