Advances in implementation of Hamiltonian Simulation algorithms - Application to the 1-dimensional wave equation

Abstract

Quantum computing promises to solve efficiently some crucial problems in scientific computing such as computational chemistry, linear systems solving and partial differential equations. Even if actual quantum algorithms for these kind of problems are curently unpractical due to hardware limitations such as coherence times or gate errors, implementing them using quantum simulators is particularly interesting. Algorithmic complexity and real implementation requirements can be evaluated this way, giving a first insight into what might come and what will be possible. This talk will explain how we implemented a 1-dimensional wave equation solver using Hamiltonian simulation on a quantum emulator. The ressource requirements on a quantum computer will also be studied and commented. This talk will end with a quick overview of ongoing and future work in this topic.

Adrien Suau

Entrepreneur in Quantum Computing

I am an entrepreneur in quantum computing. I also do business consulting, so feel free to reach out!