Integrability and Computability in Simulating Quantum Systems

K. Umeno ()
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K. Umeno: The Institute of Physical and Chemical Research (RIKEN), Laboratory for Information Representation, Frontier Research Program

A chapter in Quantum Communication, Computing, and Measurement, 1997, pp 195-201 from Springer

Abstract: 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-discretization 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.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-5923-8_21

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DOI: 10.1007/978-1-4615-5923-8_21

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