Gauge-invariant Trotterization via shear transformations
|Date/Time:||Wednesday, 17 Feb 2021 - Friday, 19 Feb 2021|
|Location:||On Zoom - contact Prof. Srimoyee Sen (firstname.lastname@example.org) for the Zoom ID|
|Actions:||Download iCal/vCal | Email Reminder|
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.