Overview
Learn about Grover's algorithm in this 55-minute quantum computing lecture that explores unstructured search problems and demonstrates how quantum approaches achieve quadratic improvements over classical methods. Dive deep into the fundamental concepts of quantum search algorithms, starting with an introduction to unstructured search and progressing through phase query gates, algorithm implementation, and geometric interpretations. Master the mechanics of the Grover operation, understand unique and multiple solution scenarios, and explore practical considerations like query optimization and handling unknown solution counts. Access additional resources including Qiskit implementations, written materials, and PDF slides through IBM Quantum Learning platform to enhance your understanding of this groundbreaking quantum algorithm.
Syllabus
— Introduction
— Overview
— Unstructured search
— Algorithms for search
— Phase query gates
— Algorithm description
— Solutions and non-solutions
— Analysis: basic idea
— Action of the Grover operation
— Rotation by an angle
— Geometric picture
— Setting the target
— Unique search
— Multiple solutions
— Number of queries
— Unknown number of solutions
— Concluding remarks
Taught by
Qiskit