Quantum Computing, PDEs, and Expected Quantum Advantage for Simulating Classical Dynamical Systems

In this talk, David Jennings will give an overview of quantum algorithms for PDEs, describe PsiQuantum’s current state-of-the-art understanding, and discuss the potential for significant quantum advantage in areas such as fluid dynamics and plasma physics: Extensive work is being done both to construct a full-scale quantum computer, and to design quantum algorithms to run on such a device. One of the major applications will be in the simulation of the dynamics of quantum systems, where exponential advantage over classical methods is expected. However, the Schrödinger equation is ultimately a particular differential equation and so one could ask: to what degree does quantum advantage extend to more general differential equations?

S​peaker

David Jennings

David Jennings obtained his PhD in Theoretical Physics at Cambridge University in 2009. He worked in High Energy Physics before moving into Quantum Information Theory, beginning with a postdoc in the University of Sydney on measurement-based and photonic quantum computing. He then worked at Imperial College London, where he held a Royal Commission of 1851 Fellowship, and at Oxford University, where he held a Royal Society Research Fellowship. He has published over 50 papers on a wide range of topics in quantum information theory, from entanglement to quantum channels, thermodynamics, and quantum field systems. Currently, he works with PsiQuantum on the development of fault-tolerant quantum algorithms, and lectures at both Imperial College London and the University of Leeds.