PIMS-BIRS TeamUp: Quantum State Transfer (24frg202)

The Banff International Research Station will host the PIMS-BIRS TeamUp: "Quantum State Transfer" workshop in Banff from June 30 to July 13, 2024.

Quantum state transfer concerns the ability to reliably transfer a quantum state from one part of a quantum computer to another; such transfers can be modelled by way of a graph, which can be analysed using graph theory techniques, or by considering the associated adjacency matrix or Laplacian matrix, or other Hamiltonian, and analysed using linear algebra and related techniques. Besides the physical importance of this concept, it is also of mathematical interest, combining techniques from spectral graph theory, combinatorial matrix theory, and matrix analysis, among other areas. The group will explore the concept of strong cospectrality, a necessary condition for perfect quantum state transfer, as well as the notion of quantum state transfer between edges of a graph, a more recent and less developed version of quantum state transfer, which normally involves the vertices of a graph.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), and Alberta's Advanced Education and Technology.