Contenu de la matière

I.    Quantum Algorithms Simulation:
-  Challenges and approaches to simulate quantum systems on classical computers.
-  Quantum circuit simulation techniques, including state-vector simulation and
matrix representation.
-  Quantum simulation algorithms, such as the Variational Quantum Eigensolver
(VQE) and Quantum Phase Estimation (QPE).
-  Software tools and frameworks for quantum simulation (e.g., Qiskit, Cirq,
ProjectQ).
-  Quantum resource estimation and circuit depth analysis.
II.  Quantum-Inspired Optimization Algorithms:
-  Introduction to classical optimization algorithms and their limitations.
-  Quantum Annealing and the Ising model.
-  Quantum-inspired metaheuristics: Quantum-Inspired Genetic Algorithms,
Quantum Particle Swarm Optimization.
-  Variational quantum algorithms, like the Variational Quantum Eigensolver
(VQE) and Quantum Approximate Optimization Algorithm (QAOA)
-  Quantum circuit optimization and compilation.