Integrability and Computability in Simulating Quantum Systems

Details Integrability and Computability in Simulating Quantum Systems Integrability and Computability in Simulating Quantum Systems

1996-10-04

arxiv.org/abs/quant-ph/9610007v1

in "Quantum Communication, Computing, and Measurement", Edited by O. Hirota, A.S.Holevo and C.M. Caves, p.p.195-201(Plenum Pre

Physics

Quantum Physics

9 pages, Latex, Related papers are on http://www.bip.riken.go.jp/irl/chaosken/quantum.html

Scientific paper

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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