<!--HTML-->We briefly present the activities of the Quantum Computing and Simulation Center of Padova University and of the Italian National Center for HPC, Big Data and Quantum Computing. In particular, we review tensor network methods, a class of algorithms that can guide and support the development of the NISQ era quantum computers, focusing on some of their potential industrial applications.
<!--HTML--> Abstract This talk with cover a foundational understanding of tensor networks, starting with the basics of tensors and their contractions. Students will learn simple forms of tensor networks and their connection to quantum circuits. Additionally, the course gives an example of the application of tensor networks in machine learning. By the end of the course, participants will grasp the core concepts and practical uses of tensor networks. Bio Ema is a computer scientist pursuing PhD in physics at CERN and Universitat Autonoma de Barcelona, specializing in quantum and quantum-inspired algorithms for anomaly detection with applications in high-energy physics and medical imaging. Francesco is a PhD student at CERN and University of the Basque Country. He studied at KTH and Politecnico di Torino and focuses on the simulation of Quantum Matter with Tensor Network Methods and other techniques related to Quantum Computation.
<!--HTML-->The current status of trapped ions quantum computer development in Europe will be presented from the industry perspective, with focus on main challenges for the next few years. A brief overview of practical aspects related to scaling the number of qubits and improving the performance of quantum computers will be given. Special attention will be devoted to qubit control electronics and a related international initiative ARTIQ/Sinara, which was and continues to be inspired by CERN activities. Examples of industry-academia collaboration on quantum computing development as part of the Quantum Flagship and EuroHPC JU will be mentioned.