Quantum complexity of graph and algebraic problems

Sebastian Dörn · OPen Access Repositorium der Universität Ulm (OPARU) (Ulm University) · 2007

In this thesis we present new quantum algorithms for graph and algebra problems. Our quantum algorithms for these problems use a combination of Grover search, amplitude amplification and quantum walk search. The quantum algorithms are faster than the best known classical algorithms for the corresponding problems.

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