Рет қаралды 75
December 10 2024 (in person)
Kenneth Scott Mcelvain (Berkeley University & LBNL)
Host: Andre Walker-Loud
Title: Adiabatic Quantum Computation with the Fermionic Position Space Schrödinger Equation
Abstract: I describe an efficient encoding of the fermionic Schrödinger equation in first quantization as a spin system Hamiltonian. The challenging part of the construction is the implementation of the kinetic energy operator, which is essentially the Laplacian. The finite difference implementation on the lattice combines contributions from neighboring lattice sites, which is complicated by fermionic exchange symmetry.