dorsal/arxiv
View SchemaA precise CNOT gate in the presence of large fabrication induced variations of the exchange interaction strength
| Authors | M. J. Testolin, C. D. Hill, C. J. Wellard, L. C. L. Hollenberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701165 |
| URL | https://arxiv.org/abs/quant-ph/0701165 |
| DOI | 10.1103/PhysRevA.76.012302 |
Abstract
We demonstrate how using two-qubit composite rotations a high fidelity controlled-NOT (CNOT) gate can be constructed, even when the strength of the interaction between qubits is not accurately known. We focus on the exchange interaction oscillation in silicon based solid-state architectures with a Heisenberg Hamiltonian. This method easily applies to a general two-qubit Hamiltonian. We show how the robust CNOT gate can achieve a very high fidelity when a single application of the composite rotations is combined with a modest level of Hamiltonian characterisation. Operating the robust CNOT gate in a suitably characterised system means concatenation of the composite pulse is unnecessary, hence reducing operation time, and ensuring the gate operates below the threshold required for fault-tolerant quantum computation.
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"abstract": "We demonstrate how using two-qubit composite rotations a high fidelity\ncontrolled-NOT (CNOT) gate can be constructed, even when the strength of the\ninteraction between qubits is not accurately known. We focus on the exchange\ninteraction oscillation in silicon based solid-state architectures with a\nHeisenberg Hamiltonian. This method easily applies to a general two-qubit\nHamiltonian. We show how the robust CNOT gate can achieve a very high fidelity\nwhen a single application of the composite rotations is combined with a modest\nlevel of Hamiltonian characterisation. Operating the robust CNOT gate in a\nsuitably characterised system means concatenation of the composite pulse is\nunnecessary, hence reducing operation time, and ensuring the gate operates\nbelow the threshold required for fault-tolerant quantum computation.",
"arxiv_id": "quant-ph/0701165",
"authors": [
"M. J. Testolin",
"C. D. Hill",
"C. J. Wellard",
"L. C. L. Hollenberg"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1103/PhysRevA.76.012302",
"title": "A precise CNOT gate in the presence of large fabrication induced variations of the exchange interaction strength",
"url": "https://arxiv.org/abs/quant-ph/0701165"
},
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