Math Physics Seminar

Speaker: 
Jesse Stryker (UMD)
Topic: 
Gauge-invariant Trotterization via shear transformations

Abstract:
Lattice gauge theories are typically described in terms of local, redundant degrees of freedom, supplemented by appropriate gauge constraints, i.e. Gauss's law or its generalizations.  The Hamiltonian is then a sum of gauge invariant operators acting on those degrees of freedom.  Trotter-Suzuki decompositions employed for digital quantum simulation, however, do not necessarily implement any one of those individual operators exactly -- leading to the possible systematic breaking of gauge constraints.  I will discuss how shear transformations in the space of electric quantum numbers of Abelian gauge theories facilitate Trotter-Suzuki approximation of the gauge invariant operators that exactly preserves the gauge constraints.

Event Date: 
February 16, 2021 - 2:30pm to 3:20pm
Location: 
Online
Calendar Category: 
Seminar
Seminar Category: 
Mathematical Physics