The Complutense University of Madrid (UCM) has two research groups specializing in quantum computing, QICC and MATHQI, and is interested in collaborating with other project partners for the development, expansion, and dissemination of this technology. In order to advance research in quantum computing within the fields of its scientific interest, UCM will undertake the activities described in the following section, within the framework of the Quantum Spain project.
The QICC and MATHQI groups, led respectively by professors Miguel Ángel Martín-Delgado and David Pérez-García, have extensive experience in the mathematical analysis of concepts related to quantum computing, as well as in the simulation of quantum systems with tensor networks. The research tasks of these UCM groups will focus on the study of tensor networks and the use of quantum Markov chains in processes related to artificial intelligence.
Tensor networks are a mathematically inspired quantum technology with broad utility in the study of complex quantum systems. Since 2016, this technology has been applied to the field of artificial intelligence with notable results in image processing and anomaly detection. In this context, the objective of this activity is to delve into this utility by analyzing the privacy guarantees obtained when using machine learning algorithms based on tensor network architectures.