2022/10/30 by Gérard Fleury, Fleury, Gérard, Philippe Lacomme +1 · 1 citation
Computer Science · Mathematics · #FOS: Physical sciences #Numerical Methods and Algorithms #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.2210.16809
openalex publication_date 2022/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper concerns the Grover algorithm that permits to make amplification of quantum states previously tagged by an Oracle. Grover's algorithm allows searches in an unstructure database of n entries finding a marked element with a quadratic speedup. The algorithm requires a predefined number of runs to succeed with probability close to one.This article provides a description of the amplitude amplification quantum algorithm mechanism in a very short computational way, based on tensor products and provides a geometric presentation of the successive system states. All the basis changes are fully described to provide an alternative to the wide spread Grover description based only on matrices and complex tensor computation. Our experiments encompass numerical evaluations of circuit using the Qiskit library of IBM that meet the theoretical considerations