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innsikt - Quantum Search Algorithms
Efficiency of k-Local Quantum Search and its Adiabatic Variant on Random k-SAT Analysis
The author introduces structured quantum search algorithms to address the k-SAT problem efficiently, focusing on satisfiable instances. The approach combines k-local quantum search and adiabatic variants to improve efficiency.
Two-Step Quantum Search Algorithm for the Traveling Salesman Problem Using Higher-Order Unconstrained Binary Optimization Encoding
This paper proposes a novel Two-Step Quantum Search (TSQS) algorithm for solving the Traveling Salesman Problem (TSP) that leverages Higher-Order Unconstrained Binary Optimization (HOBO) encoding to achieve efficient initial state preparation and a quadratic speedup compared to classical methods.
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