Speaker
Hersh Singh
(Fermilab)
Description
We study quantum simulation algorithms for two formulations of Hamiltonian lattice fermions with an exact chiral symmetry based on the domain-wall and overlap formulations. We present a quantum simulation algorithm based on Quantum Signal Processing (QSP), which optimally preserves the Ginsparg-Wilson (GW) relation and therefore the chiral symmetry. We show how QSP effectively constructs an extra dimension when simulating the overlap operator, showing how studying the scaling of quantum algorithms reflects the deeper physical connection between overlap fermions arising as the boundary theory of domain-wall fermions.
Author
Hersh Singh
(Fermilab)