dorsal/arxiv
View SchemaEigenstates of Operating Quantum Computer: Hypersensitivity to Static Imperfections
| Authors | Giuliano Benenti, Giulio Casati, Simone Montangero, Dima L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112132 |
| URL | https://arxiv.org/abs/quant-ph/0112132 |
| DOI | 10.1140/epjd/e2002-00127-x |
| Journal | Eur. Phys. J. D 20 (2002) 293 |
Abstract
We study the properties of eigenstates of an operating quantum computer which simulates the dynamical evolution in the regime of quantum chaos. Even if the quantum algorithm is polynomial in number of qubits $n_q$, it is shown that the ideal eigenstates become mixed and strongly modified by static imperfections above a certain threshold which drops exponentially with $n_q$. Above this threshold the quantum eigenstate entropy grows linearly with $n_q$ but the computation remains reliable during a time scale which is polynomial in the imperfection strength and in $n_q$.
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"abstract": "We study the properties of eigenstates of an operating quantum computer which\nsimulates the dynamical evolution in the regime of quantum chaos. Even if the\nquantum algorithm is polynomial in number of qubits $n_q$, it is shown that the\nideal eigenstates become mixed and strongly modified by static imperfections\nabove a certain threshold which drops exponentially with $n_q$. Above this\nthreshold the quantum eigenstate entropy grows linearly with $n_q$ but the\ncomputation remains reliable during a time scale which is polynomial in the\nimperfection strength and in $n_q$.",
"arxiv_id": "quant-ph/0112132",
"authors": [
"Giuliano Benenti",
"Giulio Casati",
"Simone Montangero",
"Dima L. Shepelyansky"
],
"categories": [
"quant-ph",
"cond-mat",
"nlin.CD"
],
"doi": "10.1140/epjd/e2002-00127-x",
"journal_ref": "Eur. Phys. J. D 20 (2002) 293",
"title": "Eigenstates of Operating Quantum Computer: Hypersensitivity to Static Imperfections",
"url": "https://arxiv.org/abs/quant-ph/0112132"
},
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