Integrability and Computability in Simulating Quantum Systems

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dc.creatorUmeno, Ken
dc.date1996-10-04
dc.date.accessioned2026-07-07T06:13:59Z
dc.date.available2026-07-07T06:13:59Z
dc.descriptionAn 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.
dc.description9 pages, Latex, Related papers are on http://www.bip.riken.go.jp/irl/chaosken/quantum.html
dc.identifierhttps://arxiv.org/abs/quant-ph/9610007
dc.identifierhttp://arxiv.org/abs/quant-ph/9610007
dc.identifierin "Quantum Communication, Computing, and Measurement", Edited by O. Hirota, A.S.Holevo and C.M. Caves, p.p.195-201(Plenum Press, 1997).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93299
dc.subjectQuantum Physics
dc.titleIntegrability and Computability in Simulating Quantum Systems
dc.typetext

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