dorsal/arxiv
View SchemaAvoiding Quantum Chaos in Quantum Computation
| Authors | G. P. Berman, F. Borgonovi, F. M. Izrailev, V. I. Tsifrinovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012106 |
| URL | https://arxiv.org/abs/quant-ph/0012106 |
| DOI | 10.1103/PhysRevE.65.015204 |
| Journal | Phys. Rev. E 65 (2001) 015204 |
Abstract
We study a one-dimensional chain of nuclear $1/2-$spins in an external time-dependent magnetic field. This model is considered as a possible candidate for experimental realization of quantum computation. According to the general theory of interacting particles, one of the most dangerous effects is quantum chaos which can destroy the stability of quantum operations. According to the standard viewpoint, the threshold for the onset of quantum chaos due to an interaction between spins (qubits) strongly decreases with an increase of the number of qubits. Contrary to this opinion, we show that the presence of a magnetic field gradient helps to avoid quantum chaos which turns out to disappear with an increase of the number of qubits. We give analytical estimates which explain this effect, together with numerical data supporting
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"abstract": "We study a one-dimensional chain of nuclear $1/2-$spins in an external\ntime-dependent magnetic field. This model is considered as a possible candidate\nfor experimental realization of quantum computation. According to the general\ntheory of interacting particles, one of the most dangerous effects is quantum\nchaos which can destroy the stability of quantum operations. According to the\nstandard viewpoint, the threshold for the onset of quantum chaos due to an\ninteraction between spins (qubits) strongly decreases with an increase of the\nnumber of qubits. Contrary to this opinion, we show that the presence of a\nmagnetic field gradient helps to avoid quantum chaos which turns out to\ndisappear with an increase of the number of qubits. We give analytical\nestimates which explain this effect, together with numerical data supporting",
"arxiv_id": "quant-ph/0012106",
"authors": [
"G. P. Berman",
"F. Borgonovi",
"F. M. Izrailev",
"V. I. Tsifrinovich"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.65.015204",
"journal_ref": "Phys. Rev. E 65 (2001) 015204",
"title": "Avoiding Quantum Chaos in Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/0012106"
},
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