dorsal/arxiv
View SchemaHigh fidelity one-qubit operations under random telegraph noise
| Authors | Mikko Mottonen, Rogerio de Sousa, Jun Zhang, K. Birgitta Whaley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508053 |
| URL | https://arxiv.org/abs/quant-ph/0508053 |
| DOI | 10.1103/PhysRevA.73.022332 |
| Journal | Phys. Rev. A 73, 022332 (2006) |
Abstract
We address the problem of implementing high fidelity one-qubit operations subject to time dependent noise in the qubit energy splitting. We show with explicit numerical results that high fidelity bit flips and one-qubit NOT gates may be generated by imposing bounded control fields. For noise correlation times shorter than the time for a pi-pulse, the time optimal pi-pulse yields the highest fidelity. For very long correlation times, fidelity loss is approximately due to systematic error, which is efficiently tackled by compensation for off-resonance with a pulse sequence (CORPSE). For intermediate ranges of the noise correlation time we find that short CORPSE, which is less accurate than CORPSE in correcting systematic errors, yields higher fidelities. Numerical optimization of the pulse sequences using gradient ascent pulse engineering results in noticeable improvement of the fidelities for the bit flip and marginal improvement for the NOT gate.
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"abstract": "We address the problem of implementing high fidelity one-qubit operations\nsubject to time dependent noise in the qubit energy splitting. We show with\nexplicit numerical results that high fidelity bit flips and one-qubit NOT gates\nmay be generated by imposing bounded control fields. For noise correlation\ntimes shorter than the time for a pi-pulse, the time optimal pi-pulse yields\nthe highest fidelity. For very long correlation times, fidelity loss is\napproximately due to systematic error, which is efficiently tackled by\ncompensation for off-resonance with a pulse sequence (CORPSE). For intermediate\nranges of the noise correlation time we find that short CORPSE, which is less\naccurate than CORPSE in correcting systematic errors, yields higher fidelities.\nNumerical optimization of the pulse sequences using gradient ascent pulse\nengineering results in noticeable improvement of the fidelities for the bit\nflip and marginal improvement for the NOT gate.",
"arxiv_id": "quant-ph/0508053",
"authors": [
"Mikko Mottonen",
"Rogerio de Sousa",
"Jun Zhang",
"K. Birgitta Whaley"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"doi": "10.1103/PhysRevA.73.022332",
"journal_ref": "Phys. Rev. A 73, 022332 (2006)",
"title": "High fidelity one-qubit operations under random telegraph noise",
"url": "https://arxiv.org/abs/quant-ph/0508053"
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