Grant: Canada Research Chairs

The development of quantum science will transform the world as we know it; quantum technology is at the leading edge of science and innovation, with the incredible potential to impact all major sectors of the economy, as well as everyday human life. Dr. Plosker’s work unveils new insights into the nature of quantum information theory, allowing engineers and physicists working on the physical components of quantum computers to harness the full potential of quantum phenomena. Dr. Plosker’s proposed research relates to quantum state transfer. Her recent work unifies many seemingly unrelated works on perfect state transfer by viewing the graph models as coming from the graph operation of vertex twinning. A number of statements about strong cospectrality and perfect state transfer can be made when taking this new view of the problem. While many researchers working on QST are using algebraic graph theory methods, Dr. Plosker’s work involves careful application of matrix theory. Dr. Plosker plans to continue to fill in the gaps of knowledge in the area of QST using twinning, while also exploring the depths of the recent topic of fractional revival, which can be seen as creating entanglement between states in a spin system. She has started some preliminary work on generalized fractional revival, by exploring the algebraic and spectral properties of graphs exhibiting generalized FR, Dr. Plosker aims to chart new ground in this largely unexplored type of QST. Dr. Plosker's proposed research involves building up the mathematical foundations of the fundamentally important concept of QST through combining techniques from different areas of pure mathematics. This provides new insights and discoveries within the area of quantum information theory. The results of Dr. Plosker's work have direct applications to quantum computing, in particular in developing models for quantum spin networks showing inter-qubit interactions of quantum registers and processors within a quantum computer, and methods to transfer quantum states and generate entanglement within these models. This work will improve the understanding of quantum state transfer, harnessing the full potential of this quantum phenomenon. Dr. Plosker’s work will also keep Canada strategically placed at the forefront of the emerging quantum industry.