dorsal/arxiv
View SchemaOptimal Control of Coupled Josephson Qubits
| Authors | A. K. Spoerl, T. Schulte-Herbrueggen, S. J. Glaser, V. Bergholm, M. J. Storcz, J. Ferber, F. K. Wilhelm |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504202 |
| URL | https://arxiv.org/abs/quant-ph/0504202 |
| DOI | 10.1103/PhysRevA.75.012302 |
| Journal | Phys. Rev. A 75 (2007) 012302 |
Abstract
Quantum optimal control theory is applied to two and three coupled Josephson charge qubits. It is shown that by using shaped pulses a CNOT gate can be obtained with a trace fidelity > 0.99999 for the two qubits, and even when including higher charge states, the leakage is below 1%. Yet, the required time is only a fifth of the pioneering experiment [T. Yamamoto et al., Nature 425 (2003), 941] for otherwise identical parameters. The controls have palindromic smooth time courses representable by superpositions of a few harmonics. We outline schemes to generate these shaped pulses such as simple network synthesis. The approach is easy to generalise to larger systems as shown by a fast realisation of TOFFOLI's gate in three linearly coupled charge qubits. Thus it is to be anticipated that this method will find wide application in coherent quantum control of systems with finite degrees of freedom whose dynamics are Lie-algebraically closed.
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"abstract": "Quantum optimal control theory is applied to two and three coupled Josephson\ncharge qubits. It is shown that by using shaped pulses a CNOT gate can be\nobtained with a trace fidelity \u003e 0.99999 for the two qubits, and even when\nincluding higher charge states, the leakage is below 1%. Yet, the required time\nis only a fifth of the pioneering experiment [T. Yamamoto et al., Nature 425\n(2003), 941] for otherwise identical parameters. The controls have palindromic\nsmooth time courses representable by superpositions of a few harmonics. We\noutline schemes to generate these shaped pulses such as simple network\nsynthesis. The approach is easy to generalise to larger systems as shown by a\nfast realisation of TOFFOLI\u0027s gate in three linearly coupled charge qubits.\nThus it is to be anticipated that this method will find wide application in\ncoherent quantum control of systems with finite degrees of freedom whose\ndynamics are Lie-algebraically closed.",
"arxiv_id": "quant-ph/0504202",
"authors": [
"A. K. Spoerl",
"T. Schulte-Herbrueggen",
"S. J. Glaser",
"V. Bergholm",
"M. J. Storcz",
"J. Ferber",
"F. K. Wilhelm"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1103/PhysRevA.75.012302",
"journal_ref": "Phys. Rev. A 75 (2007) 012302",
"title": "Optimal Control of Coupled Josephson Qubits",
"url": "https://arxiv.org/abs/quant-ph/0504202"
},
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