5 papers · 1 filter
Exact chiral symmetry with quantum signal processing
Henry Lamm, Alessandro Roggero, Hersh Singh +1
We give a quantum signal processing (QSP) algorithm for the overlap fermion Hamiltonian which preserves the Ginsparg-Wilson relation up to a controllable error . Quantum simul…
Ginsparg-Wilson Hamiltonians with Improved Chiral Symmetry
Hersh Singh
We construct a family of Ginsparg-Wilson Hamiltonians with improved chiral properties, starting from a construction of Creutz-Horvath-Neuberger that provides a doubler-free Hamilto…
Generalized Ginsparg-Wilson relations: Fermionic anomalies on the lattice
Hersh Singh
The Ginsparg-Wilson (GW) relation elegantly captures how the anomalous chiral symmetry of a Dirac fermion manifests on the lattice. In this talk, we discuss how the GW relation and…
Chiral symmetry and Atiyah-Patodi-Singer index theorem for staggered fermions
Mendel Nguyen, Hersh Singh
We consider the Atiyah-Patodi-Singer (APS) index theorem corresponding to the chiral symmetry of a continuum formulation of staggered fermions called Kähler-Dirac fermions, which h…
Generalized Ginsparg-Wilson relations
Michael Clancy, David B. Kaplan, Hersh Singh
We give a general derivation of Ginsparg-Wilson relations for both Dirac and Majorana fermions in any dimension. These relations encode continuous and discrete chiral, parity and t…