Dynamical error bounds for continuum discretisation via Gauss quadrature rules-A Lieb-Robinson bound approach

Journal article (2016)

Authors

M.P. Woods University College London, National University of Singapore, QID/Wehner Group - QuTech Advanced Research Centre , QuTech Advanced Research Centre
M. B. Plenio University of Ulm
Research Group
QID/Wehner Group (QuTech Advanced Research Centre) (TU Delft)
Copyright: © 2016 M.P. Woods, M. B. Plenio
DOI: https://doi.org/10.1063/1.4940436
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Published Date

01-02-2016

Language

English

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Faculty

QuTech Advanced Research Centre

Department

Quantum Internet Division

Research Group

QID/Wehner Group

Abstract

Instances of discrete quantum systems coupled to a continuum of oscillators are ubiquitous in physics. Often the continua are approximated by a discrete set of modes. We derive error bounds on expectation values of system observables that have been time evolved under such discretised Hamiltonians. These bounds take on the form of a function of time and the number of discrete modes, where the discrete modes are chosen according to Gauss quadrature rules. The derivation makes use of tools from the field of Lieb-Robinson bounds and the theory of orthonormal polynomials.

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