Speaker
Description
In the recent years increasing attention has been directed towards the
the development of quantum algorithm for classical physics, most
notably fluid dynamics and other nonlinear transport phenomena.
Solving fluid dynamics on quantum computers is a steep challenge
on top of a challenge because, besides the notorious hurdles of
decoherence and loss of entanglement, the physics of fluids is
generally nonlinear and dissipative, hence it does not map
directly onto the unitary gates of quantum computers.
Hence, non trivial extra-steps need to be taken in order to formulate an
algorithm describing nonlinear and dissipative physics within a linear and
unitary mathematical harness.\
In this talk we shall mention the various techniques that have been proposed to circumvent the above problems, with special emphasis on the combination of Carleman linearization with block-encoding to cast fluid dynamics into a a infinite-dimensional linear and unitary framework amenable to quantum computing.