College of Liberal Arts & Sciences

# 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