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Open Quantum Systems Decoherence
Quantum Simulation
Dynamical error bounds for continuum discretisation via Gauss quadrature rules, - a Lieb-Robinson bound approach
arXiv
Authors: Mischa P. Woods, Martin B. Plenio
Year
2015
Paper ID
27557
Status
Preprint
Abstract Read
~2 min
Abstract Words
92
Citations
N/A
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 analytical 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 polynominals.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2015 reference point for readers tracking recent quantum research.
- Instances of discrete quantum systems coupled to a continuum of oscillators are ubiquitous in physics.
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