dorsal/arxiv
View SchemaQuantum Chaos & Quantum Computers
| Authors | D. L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006073 |
| URL | https://arxiv.org/abs/quant-ph/0006073 |
| DOI | 10.1238/Physica.Topical.090a00112 |
| Journal | Physica Scripta, T90, 112-120 (2001) |
Abstract
The standard generic quantum computer model is studied analytically and numerically and the border for emergence of quantum chaos, induced by imperfections and residual inter-qubit couplings, is determined. This phenomenon appears in an isolated quantum computer without any external decoherence. The onset of quantum chaos leads to quantum computer hardware melting, strong quantum entropy growth and destruction of computer operability. The time scales for development of quantum chaos and ergodicity are determined. In spite the fact that this phenomenon is rather dangerous for quantum computing it is shown that the quantum chaos border for inter-qubit coupling is exponentially larger than the energy level spacing between quantum computer eigenstates and drops only linearly with the number of qubits n. As a result the ideal multi-qubit structure of the computer remains rather robust against imperfections. This opens a broad parameter region for a possible realization of quantum computer. The obtained results are related to the recent studies of quantum chaos in such many-body systems as nuclei, complex atoms and molecules, finite Fermi systems and quantum spin glass shards which are also reviewed in the paper.
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"abstract": "The standard generic quantum computer model is studied analytically and\nnumerically and the border for emergence of quantum chaos, induced by\nimperfections and residual inter-qubit couplings, is determined. This\nphenomenon appears in an isolated quantum computer without any external\ndecoherence. The onset of quantum chaos leads to quantum computer hardware\nmelting, strong quantum entropy growth and destruction of computer operability.\nThe time scales for development of quantum chaos and ergodicity are determined.\nIn spite the fact that this phenomenon is rather dangerous for quantum\ncomputing it is shown that the quantum chaos border for inter-qubit coupling is\nexponentially larger than the energy level spacing between quantum computer\neigenstates and drops only linearly with the number of qubits n. As a result\nthe ideal multi-qubit structure of the computer remains rather robust against\nimperfections. This opens a broad parameter region for a possible realization\nof quantum computer. The obtained results are related to the recent studies of\nquantum chaos in such many-body systems as nuclei, complex atoms and molecules,\nfinite Fermi systems and quantum spin glass shards which are also reviewed in\nthe paper.",
"arxiv_id": "quant-ph/0006073",
"authors": [
"D. L. Shepelyansky"
],
"categories": [
"quant-ph",
"cond-mat"
],
"doi": "10.1238/Physica.Topical.090a00112",
"journal_ref": "Physica Scripta, T90, 112-120 (2001)",
"title": "Quantum Chaos \u0026 Quantum Computers",
"url": "https://arxiv.org/abs/quant-ph/0006073"
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