1996/10/04 by Ken Umeno
Physics and Astronomy · #quant-ph
published as in "Quantum Communication, Computing, and Measurement", Edited by O. Hirota, A.S.Holevo and C.M. Caves, p.p.195-201(Plenum Press, 1997). · 9 pages, Latex, Related papers are on http://www.bip.riken.go.jp/irl/chaosken/quantum.html
arxiv created 1996/10/04 · arxiv updated 2009/12/01
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.