dorsal/arxiv
View SchemaAnalytic solutions for quantum logic gates and modeling pulse errors in a quantum computer with a Heisenberg interaction
| Authors | G. P. Berman, D. I. Kamenev, V. I. Tsifrinovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311152 |
| URL | https://arxiv.org/abs/quant-ph/0311152 |
Abstract
We analyze analytically and numerically quantum logic gates in a one-dimensional spin chain with Heisenberg interaction. Analytic solutions for basic one-qubit gates and swap gate are obtained for a quantum computer based on logical qubits. We calculated the errors caused by imperfect pulses which implement the quantum logic gates. It is numerically demonstrated that the probability error is proportional to $\epsilon^4$, while the phase error is proportional to $\epsilon$, where $\epsilon$ is the characteristic deviation from the perfect pulse duration.
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"abstract": "We analyze analytically and numerically quantum logic gates in a\none-dimensional spin chain with Heisenberg interaction. Analytic solutions for\nbasic one-qubit gates and swap gate are obtained for a quantum computer based\non logical qubits. We calculated the errors caused by imperfect pulses which\nimplement the quantum logic gates. It is numerically demonstrated that the\nprobability error is proportional to $\\epsilon^4$, while the phase error is\nproportional to $\\epsilon$, where $\\epsilon$ is the characteristic deviation\nfrom the perfect pulse duration.",
"arxiv_id": "quant-ph/0311152",
"authors": [
"G. P. Berman",
"D. I. Kamenev",
"V. I. Tsifrinovich"
],
"categories": [
"quant-ph"
],
"title": "Analytic solutions for quantum logic gates and modeling pulse errors in a quantum computer with a Heisenberg interaction",
"url": "https://arxiv.org/abs/quant-ph/0311152"
},
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