Kavli Affiliate: Birgitta Whaley | Summary:Simulation of physical systems is one of the most promising use cases of future digital quantum computers. In this work we systematically analyze the quantum circuit complexities of block encoding the discretized elliptic operators that arise extensively in numerical simulations for partial differential equations, including high-dimensional instances for many-body simulations. […]
Continue.. Explicit block encodings of boundary value problems for many-body elliptic operators