dorsal/arxiv
View SchemaIntegrability and Computability in Simulating Quantum Systems
| Authors | Ken Umeno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610007 |
| URL | https://arxiv.org/abs/quant-ph/9610007 |
| Journal | in "Quantum Communication, Computing, and Measurement", Edited by O. Hirota, A.S.Holevo and C.M. Caves, p.p.195-201(Plenum Press, 1997). |
Abstract
An impossibility theorem on approximately simulating quantum non-integrable Hamiltonian systems is presented here. This result shows that there is a trade-off between the unitary property and the energy expectation conservation law in time-descretization of quantum non-integrable systems, whose classical counterpart is Ge-Marsden's impossibility result about simulating classically non-integrable Hamiltonian systems using integration schemes preserving symplectic (Lie-Poisson) property.
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"abstract": "An impossibility theorem on approximately simulating quantum non-integrable\nHamiltonian systems is presented here. This result shows that there is a\ntrade-off between the unitary property and the energy expectation conservation\nlaw in time-descretization of quantum non-integrable systems, whose classical\ncounterpart is Ge-Marsden\u0027s impossibility result about simulating classically\nnon-integrable Hamiltonian systems using integration schemes preserving\nsymplectic (Lie-Poisson) property.",
"arxiv_id": "quant-ph/9610007",
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"Ken Umeno"
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"journal_ref": "in \"Quantum Communication, Computing, and Measurement\", Edited by\n O. Hirota, A.S.Holevo and C.M. Caves, p.p.195-201(Plenum Press, 1997).",
"title": "Integrability and Computability in Simulating Quantum Systems",
"url": "https://arxiv.org/abs/quant-ph/9610007"
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