Speaker
Description
Quantum simulation of lattice gauge theory has attracted a lot of interest recently. A widely studied Hamiltonian setup for lattice gauge theory is the Kogut-Susskind Hamiltonian, which is constructed in temporal gauge. As a consequence of this gauge choice, Gauss's law has to be imposed. Despite of great progress in designing quantum algorithms for the Kogut-Susskind Hamiltonian, of which I will mention some, the implementation is still not easy, somewhat related to the Gauss's law constraint. In this talk, I will discuss non-temporal gauges such as Coulomb gauge for QED and axial gauge for QCD, in which no Gauss's law needs imposing. In the local field basis, quantum circuits for implementing Hamiltonian time evolution can be explicitly written out for an arbitrary field truncation and lattice size. I will show the gate counts for CNOT and single-qubit rotation per Trotter step.