Fourier and Schur Multipliers on Non-Commutative?Lp-Spaces and Applications to Quantum Information

Fourier and Schur multipliers are foundational tools in the study of non-commutative L^p-spaces, extending classical harmonic analysis into the operator algebra framework. These multipliers have applications in analyzing operator structures, functional inequalities, and properties like weak amenability. Recent developments in quantum theory and quantum information emphasize the importance of Fourier and Schur multipliers. In quantum information theory, they offer mathematical tools for studying quantum channels, transformations of quantum states, and entanglement. The interplay between non-commutative harmonic analysis and quantum systems has positioned these multipliers as central to advancing both theoretical and practical aspects of quantum mathematics. The propose of the of this workshop is two-fold. 1. Scientific Advancement: - Explore the role of Fourier and Schur multipliers in non-commutative L^p-spaces. - Highlight their applications in operator algebras, quantum probability, and quantum information theory. - Identify key open problems and new research directions. 2. Collaboration and Capacity Building: - Foster interdisciplinary collaboration among researchers in harmonic analysis, operator theory, and quantum mathematics. - Support early-career researchers by providing a platform to engage with leading experts. - Lay the groundwork for Norway’s first dedicated research group in quantum information theory. The workshop address the increasing demand for research at the intersection of operator algebras and quantum theory. By focusing on Fourier and Schur multipliers, it ties together fundamental mathematical tools with emerging applications in quantum technologies, including quantum communication and computation.