Second and Higher-Order Conditions for Solutions to Constrained Optimisation Problems and Nonlinear Quantum Computation

Kooper De Lacy

Research output: ThesisMaster's Thesis

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Abstract

We develop necessary conditions for a solution to any constrained optimisation problem. Our conditions are stronger than previous results and provide meaningful information on nondifferentiable surfaces defined by the constraints. These results are useful to create numerical optimisers.
We consider a model of quantum computation able to take advantage of linear and nonlinear quantum behaviours. This leads to the creation of several new algorithms, each solving search or counting problems. We show that solving search problems using classical fields provides a square root speedup over classical computation.
Original languageEnglish
QualificationMasters
Awarding Institution
  • The University of Western Australia
Thesis sponsors
Award date12 Nov 2019
DOIs
Publication statusUnpublished - 2019

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