About
Quantum Field Theory (QFT) is a theoretical framework developed throughout the 20th century thanks to the work of multiple generations of physicists and mathematicians. It has provided an accurate description of elementary particle physics, light, and condensed matter. As a result, it has enabled the development of numerous technological applications, including superconductivity, lasers, and electron tomography.
On the other hand, quantum information is a field of study in physics and engineering that encompasses the analysis, processing, and transmission of information using the principles and effects of quantum mechanics. Its future development will have a significant social impact, particularly in the advancement of technologies such as quantum computing.
From a fundamental physics perspective, QFT can be considered an improved extension of quantum mechanics, as it incorporates and is compatible with Einstein’s relativity principles, both in its special and general forms. Because of this, the results obtained so far in the field of quantum information have certain limitations, as they do not account for potential relevant relativistic effects, such as those arising from gravitational fields or accelerated reference frames. In this context, it is essential to investigate under what conditions the key results in quantum information remain valid or can be extended to the QFT framework.
To address this issue, it is necessary to generalize key tools in quantum information, such as the concept of entanglement, which has proven to be crucial in quantum communication theory, to the mathematical formalism of QFT. However, this task is highly non-trivial, as the mathematical framework of QFT is considerably more complex than that of ordinary quantum mechanics. While quantum information primarily deals with finite-dimensional Hilbert spaces, QFT must describe systems with infinitely many degrees of freedom, adding an additional layer of difficulty.
The goal of this workshop is to bring together researchers from both fields to foster synergies, design strategies for the rigorous generalization of quantum information tools within the QFT framework, and explore new joint research directions. The event will take place in person at the Sabatini building of UC3M, with an estimated duration of three days, and will be jointly organized by members of two research groups from the Department of Mathematics.
Local Organizing Committee
Scientific Committee
Funding
This workshop is supported by Universidad Carlos III de Madrid, through the 2025 call for international conference organization grants [2025/00001/001/002/037].
