Calculus Quantum physics Advanced quantum physics Basic programming knowledge in Python

Part 1.- Introduction to quantum computing - General idea. Types of quantum computing. - Quantum gates and circuits - Quantum programming languages Part 2.- Variational quantum algorithms - Introduction to variational quantum algorithms - Quantum Approximate Optimization Algorithm and Variational Quantum Eigensolver - Issues with VQA¿s: Barren plateaus, expressivity and measurements - Example of potential applications Part 3.- Quantum Support Vector Machines and Kernel Methods - Intro to classical Kernel Methods - Quantum Kernel Methods - Quantum support vector machines and classifiers Part 4.- Unsupervised Quantum Machine Learning - Unsupervised classical machine learning and generative models - Quantum generative models and quantum Born Machines - Quantum generative adversarial networks Part 5.- Quantum Neural Networks - Quantum Neural Network classifier - Data re-uploading - Convolutional quantum neural networks - Quantum optical neural networks Part 6.- Recent advances in the field and outlook

Educational activities: - Theory lessons - Tutorial sessions - Practical quantum programming activities - Individual student work Educational Methodologies: - Classroom lessons by lecturers in which the main concepts will be developed. Bibliography will be provided to students as a complement to the main lessons - Solution of practical exercises in the classroom and also individually by students. - Practices on quantum programming.